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1970 The ehD ydrogenation and Isomerization of Cyclohexane Over a Platinum Alumina Mordenite Catalyst. David Erskine Allan Louisiana State University and Agricultural & Mechanical College
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ALLAN, David Erskine, 1939- THE DEHYDROGENATION AND ISOMERIZATION OF CYCLOHEXANE OVER A PLATINUM ALUMINA MORDENITE CATALYST.
The Louisiana State University and Agricultural and Mechanical College, Ph.D., 1970 Engineering, chemical
University Microfilms, Inc., Ann Arbor, Michigan
aaAiaoan sv m o v x a aawiuoHDiw Naaa s v h NoiiviaassiG sihj, Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. THE DEHYDROGENATION AND ISOMERIZATION OF CYCLOHEXANE OVER A PLATINUM ALUMINA MORDENITE CATALYST
A Dissertation
Submitted to the Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College in partial fulfillment of the requirements for the degree of Doctor of Philosophy
in
The Department of Chemical Engineering
by David Erskine Allan B.S., University of Tulsa, 1962 M.S., University of Tulsa, 1964 June, 1970
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Dedicated to my parents who taught me the importance of education and to my wife for her sacrifices in its undertaking.
ii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ACKNOWLEDGEMENTS
The author wishes first to particularly acknowledge Professor
Alexis Voorhies, Jr. who provided the opportunity to do this research
and served as faculty advisor. His advice, guidance and unbounded
optimism are greatly appreciated.
Special acknowledgement is expressed to the Esso Research and
Engineering Company for sponsoring this project. Thanks are also
given to the staff of the Esso Research Laboratories, Baton Rouge,
Louisiana, who provided the equipment, catalysts and certain analytical
work. In particular, the author wishes to give his thanks to Dr.
H. E. Merrill of the Esso Research Laboratories who prepared the
catalysts.
Appreciation is expressed to the Petroleum Processing Laboratory
of the Chemical Engineering Department for the use of their equipment
and facilities.
The author wishes to offer his sincere thanks to Dr. Phillip A.
Bryant for many helpful and stimulating discussions on heterogeneous
catalysis. His enthusiasm and willingness to help at all times are
greatly appreciated. Thanks are also given to Dr. J. R. Hopper, a
co-worker on this project who was above all, a friend.
Special appreciation and thanks are expressed to Mrs. Claudia
Ainsworth who typed this dissertation. Her cheerfulness, diligence
and skill made a difficult task much less so.
iii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Finally, the author wishes to acknowledge the unnamed faculty,
graduate students and staff at Louisiana State University who gave
help and advice when it was needed.
iv
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE OF CONTENTS
PAGE
LIST OF TABLES ...... xi
LIST OF FIGURES ...... xiv
ABSTRACT ...... xvi
CHAPTER
I. INTRODUCTION ...... 1
List of References - Chapter I ...... 5
II. LITERATURE SURVEY ...... 6
A. Introduction ...... 6
B. Non-Zeolite Catalysts ...... 10
1. Cycloparaffin Dehydrogenation Catalysts .... 10
2. Non-Zeolite Cycloparaffin Isomerization
Catalysts ...... 11
3. Non-Zeolite Bifunctional Catalysts...... 14
C. Crystalline Zeolites ...... 21
1. Introduction ...... 21
2. Physical Properties of Zeolites ...... 23
a. General ...... 23
b. Mordenite ...... 28
3. Sorption, Diffusion and Acidity in Zeolites . 30
4. Catalytic Properties of Zeolites ...... 34
a. General ...... 34
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b. Mordenite ...... 36
D. Catalytic Mechanisms ...... 39
1. Dehydrogenation of Naphthenes ...... 39
2. Isomerization of Naphthenes ...... 41
3. Combined Dehydrogenation and Isomerization
of Naphthenes ...... 43
List of References - Chapter II ...... 46
III. EXPERIMENTAL EQUIPMENT AND PROCEDURE ...... 58
A. General ...... 58
B. Experimental Equipment ...... 58
1. Reaction System ...... 58
a. Liquid Feed S y s t e m ...... 60
b. Gas Feed System ...... 60
c. Reactor ...... 61
d. Temperature and Pressure Control ...... 63
e. Product Recovery System ...... 64
2. Analytical System ...... 64
C. Materials ...... 64
1. Gases ...... 64
2. Liquids ...... 65
3. Catalysts ...... 65
D. Experimental Procedure ...... 65
1. Catalyst Activation ...... 65
2. Hydrocarbon Reaction Material Balance ...... 66
3. Material Balance Calculations ...... 68
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IV. CATALYST PREPARATION AND ANALYSES ...... 69
A. Introduction ...... 69
6 . Catalyst Preparation ...... 70
C. Analytical Measurements ...... 71
List of References - Chapter IV ...... 76
V. A KINETIC MODEL FOR THE SIMULTANEOUS DEHYDROGENATION
AND ISOMERIZATION OF CYCLOHEXANE ...... 77
A. Introduction ...... 77
B. Cyclohexane - Benzene and Cyclohexane -
Methylcyclopentane Equilibrium ...... 78
C. Reactor Contacting ...... 80
D. Derivation of Kinetic Equations ...... 82
1. Rate Limiting Processes in Heterogeneous
Catalysis ...... 83
2. Derivation of the Rate Equations ...... 85
3. Simultaneous Solution of the Differential
Rate Equations ...... 91
E. Solution of the Kinetic Equations for the
Reaction Rate Constants ...... 97
1. Solution of Non-Linear Equations ...... 97
2. Pattern Search ...... 99
3. Solution of Kinetic Equations by Pattern
Search ...... 105
List of References - Chapter V ...... 110
VI. EXPERIMENTAL DATA AND ITS ANALYSIS ...... 113
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A. Introduction ...... 113
B. Pore Diffusion and Bulk Mass Transfer Limitations 114
1. Diffusional Effects in Experimental Catalysis 114
2. Search for Operating Conditions - Pore
Diffusion and Mass Transfer Limitations .... 119
C. Test for Mass Transfer Limitations at 775°F and
85 psia - Pt-ALgOg -Mordenite Catalyst ...... 129
D. Test for Pore Diffusion Limitations at 775°F
and 85 psia - Pt-AlgO^ -Mordenite and Pt-Al^Og
Catalysts ...... 133
E. Reproducibility of the Experimental Data on the
Pt-Alg03 -Mordenite Catalyst at 775°F and 85 psia 141
F. Test of the Reaction Model for the Dehydro
genation and Isomerization of Cyclohexane -
Pt-AlgOg-Mordenite Catalyst at 775?F and 85 psia 143
G. The Effect of Temperature on the Cyclohexane
Dehydrogenation and Isomerization Rate
Constants - Pt-Als03 -Mordenite Catalyst ...... 150
H. The Effect of Pressure oh the Cyclohexane
Dehydrogenation and Isomerization Rate Constants
at 775PF - Pt-ALjOs-Mordenite Catalyst ...... 158
1. The Effect of a Variation in Total Pressure
at a Constant Hydrogen to Cyclohexane Feed
Diluent Ratio ...... 158
2. The Effect of Independently Varying Hydro
carbon and Hydrogen Partial Pressure ...... 161
viii
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I. Correlation of the Cyclohexane Dehydrogenation
/ and Isomerization Rate Constants at 775?F with
the Observed Pressure Effects - Pt-Alg0 3 -
Mordenite Catalyst ...... -172
1. Introduction ...... 172
2. Single and Dual Site Surface Reaction
Adsorption Models ...... 177
3. Simplification of the Surface Reaction
Adsorption Models ...... 180
4. Correlation of Experimental Results with
the Simplified Surface Reaction Models ..... 182
J. Effectiveness of the Overall Model for the
Pt-ALjOa-Mordenite Catalyst ...... 185
K. Reactivity of n-Heptane and Methylcyclopentane
over the Pt-ALjO^ -Mordenite Catalyst at 925^F
and 305 psia ...... 187
List of References - Chapter VI ...... 192
VII. CONCLUSIONS AND RECOMMENDATIONS ...... 196
A. Conclusions ...... 196
B. Recommendations ...... 199
APPENDICES
A. NOMENCLATURE ...... 202
B. DETAILED EXPERIMENTAL DATA ...... 211
C. SAMPLE CALCULATIONS ...... 281
D. ANALYTICAL SYSTEM ...... 289 »
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E. COMPUTER PROGRAM LISTING ...... 295
VITA ...... 337
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Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF TABLES
TABLE PAGE
1 Dehydrogenation Activity Values of Some Supported Metal and Oxide Catalysts...... 17
2 Some Zeolites and Their Properties...... 26
3 Possible Applications of Zeolite Catalysts...... 37
4 Description of Catalyst Analytical Tests...... 73
5 Catalyst Analytical Measurements...... 74
6 Convergence of the Search Routine for Different Initial Estimates of the Rate Constants, Run 35A...... 109
7 Exploratory Data for Cyclohexane over the Pt-Al3 03 - Mordenite Catalyst at 90CPF and 225 psia...... 121
8 Test for Mass Transfer Limitations at Low Cyclo hexane Conversion Levels over the Pt-Al^Og- Mordenite Catalyst at 90(PF and 225 psia...... 124
9 Effect of Catalyst Particle Size on Cyclohexane Dehydrogenation and Isomerization Rate Constants for the Pt-Al^Og -Mordenite Catalyst...... 127
10 Equilibrium Composition of the Cyclohexane- Benzene-Methylcyclopentane System as Determined from Free Energy Data...... 130
11 Test for Mass Transfer Limitations at 775°F and 85 psia - Cyclohexane Dehydrogenation and Isomer ization over the Pt-ALjOg-Mordenite Catalyst 131
12 Test for Pore Diffusion Limitations at 775°F and 85 psia - Cyclohexane Dehydrogenation and Isomer ization over the Pt-A^Og-Mordenite Catalyst 135
13 Test for Pore Diffusion Limitations at 775°F and 85 psia - Cyclohexane Dehydrogenation and Isomer ization over the Pt-ALjOg Catalyst...... 138
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14 Reproducibility of the Experimental Data on the Pt-AlaQ,-Mordenite Catalyst at 775°F and 85 psia...... 142
15 Statistical Parameters Calculated from the Reproducibility Study on the Pt-AL,Oa -Mordenite Catalyst...... 144
16 Test of the Reaction Model for the Dehydrogenation and Isomerization of Cyclohexane - Variation of Space Time over the Pt-Alg03 -Mordenite Catalyst at 775°F and 85 psia...... 147
17 The Effect of Temperature on the Cyclohexane Dehydrogenation and Isomerization Rate Constants - Pt-ALgOg-Mordenite Catalyst at 85 psia...... 153 1 18 Reported Activation Energies for the Dehydrogena tion of Cyclohexane to Benzene...... 156
19 The Effect of Total Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F - Pt-ALgOg -Mordenite Catalyst...... 159
20 The Effect ot Total Hydrocarbon Partial Pressure on the Cyclohexane Dehydrogenation and Isomeri zation Rate Constants at 775°F and ~80 psia Hydrogen Partial Pressure - Pt-AlgOg-Mordenite Catalyst...... 163
21 The Effect of Hydrogen Partial Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F and ~5.6 psia Hydro carbon Partial Pressure - Pt-ALgOg-Mordenite Catalyst...... 166
22 The Effect of Hydrogen Partial Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F and ~2.7 psia Hydro carbon Partial Pressure - Pt-ALg03 -Mordenite Catalyst...... 169
23 Summary of Rate and Adsorption Constants for the Dehydrogenation and Isomerization of Cyclohexane over the Pt-ALgOg-Mordenite Catalyst at 775°F.... 184
24 Effectiveness of the Overall Model for the Pt- AlgOg -Mordenite Catalyst...... 186
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25 Reactivity of n-Heptane over the Pt-Al2 03 - Mordenite Catalyst at 925°F and 305 psia...... 188
26 Reactivity of Methylcyclopentane with and without Nitrogen Addition over the Pt-AlgOa-Mordenite Catalyst at 925°F and 305 psia...... 190
D-l Calibration Factors for the Gas Chromatograph.... 294
xiii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF FIGURES
FIGURE PAGE
1 Basic Structure of Zeolite Crystals...... 24
2 Cage Structure for Faujasite...... 27
3 Cross-Sectional View of Mordenite...... 29
4 Reforming C6 Hydrocarbons with a Bifunctional Catalyst...... -...... 44
5 Simplified Flow Diagram of the Reaction System... 59
6 Cross Sectional View of Reactor in Fluidized Heating Bath...... 62
7 Response Surface for Run 35A...... 100
8 Cross Section of the Response Surface for Run 35A 101
9 Illustration of Pattern Search for an Arbitrary Response Surface...... 103
10 Schematic Flow Diagram for Computer Program SLAVEZ...... 106
11 The Binodal Pore Size Distribution...... 117
12 Effect of Cyclohexane Conversion Level on the Degree of Bulk Mass Transfer Limitation for the Exploratory Data on the Pt-Al^Og-Mordenite Catalyst at 900PF and 225 psia...... 123
13 Test for Mass Transfer Limitations at Low Cyclo hexane Conversion Levels over the Pt-AlgOg- Mordenite Catalyst at 900PF and 225 psia...... 125
14 Test for Mass Transfer Limitations at 775°F and 85 psia - Cyclohexane Dehydrogenation and Isomer ization over the Pt-AlgOg-Mordenite Catalyst 132
15 Test for Pore Diffusion Limitations at 77fPF and 85 psia - Cyclohexane Dehydrogenation and Isomer ization over the Pt-Alg03 -Mordenite Catalyst..... 136
xiv
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16 Test for Pore Diffusion Limitations at 775°F and 85 psia - Cyclohexane Dehydrogenation and Isomer ization over the Pt-ALjOg Catalyst...... 139
17 Test of the Reaction Model for the Dehydrogena tion and Isomerization of Cyclohexane - Variation of Space Time over the Pt-Al2 03 -Mordenite Catalyst at 775°F and 85 psia...... 151
18 The Effect of Temperature on the Cyclohexane Dehydrogenation Rate Constant - Pt-Alg03 - Mordenite Catalyst at 85 psia...... 154
19 The Effect of Temperature on the Cyclohexane Isomerization Rate Constant - Pt-Alg03 -Mordenite Catalyst at 85 psia...... 157
20 The Effect of Total Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F - Pt-AlgO^-Mordenite Catalyst...... 160
21 The Effect of Total Hydrocarbon Partial Pressure on the Cyclohexane Dehydrogenation and Isomeri zation Rate Constants at 775°F and ~80 psia Hydrogen Partial Pressure - Pt-Al3 03 -Mordenite Catalyst...... 164
22 The Effect of Hydrogen Partial Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F and ~5.6 psia Hydrocarbon Partial Pressure - Pt-ALjOg-Mordenite Catalyst... 167
23 The Effect of Hydrogen Partial Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F and ~2.7 psia Hydrocarbon Partial Pressure - Pt-Alg03 -Mordenite Catalyst... 170
24 The Effect of Hydrocarbon Partial Pressure on The Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F - Pt-Al2 03 -Mordenite Catalyst...... 173
xv
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ABSTRACT
A halogen-free Pt-AljOg -mordenite catalyst has been investigated
for the simultaneous dehydrogenation and isomerization of cyclohexane
in an integral fixed-bed reactor system. These results on cyclohexane
are supplemented by a limited study on a halogen-free Pt-AlgOg catalyst.
A mathematical model for the simultaneous dehydrogenation and isomeri
zation of cyclohexane has been developed assuming that the surface
reactions were rate controlling and first order with respect to the
hydrocarbon components. Integration of the differential rate equations
from the model yielded two nonlinear equations which were solved
simultaneously for the rate constants by an optimization technique.
A study of macropore diffusion on both catalysts revealed that
significant diffusional effects existed in the dehydrogenation and
isomerization of cyclohexane. The rates of cyclohexane dehydrogenation
and isomerization at 775?F on the Pt-AlgOg -mordenite catalyst were
shown to be independent of particle size below a certain critical size.
Data on the Pt-AlgOg catalyst at 775°F showed that the cyclohexane
dehydrogenation rate was dependent on catalyst particle size throughout
the entire range investigated. The rate of cyclohexane isomerization
over the Pt-ALj03 catalyst was very low at 775° F and not dependent on
particle size.
The rates of cyclohexane dehydrogenation and isomerization over
the Pt-AlgOg-mordenite catalyst at 775°F were shown, by a variation
in contact time, to be consistent with the assumed reaction model.
xvi
with permission of the copyright owner. Further reproduction prohibited without permission. The activation energy for cyclohexane dehydrogenation over the Pt-
AlgOa-mordenite was evaluated in the 724°-775°F temperature range and
found to be 14.4 kcal/gm mole. This value agrees with values reported
in the literature for similar catalysts. The activation energy for
cyclohexane isomerization was found to be 12.5 kcal/gm mole which is
low in comparison to reported values for mordenite catalysts. This
suggests a diffusional limitation in the micropores of the mordenite
component.
The effects of pressure on the rates of cyclohexane dehydrogena
tion and isomerization at 77^*F over the Pt-A^C^ -mordenite catalyst
were investigated by varying total pressure and reactant partial
pressures. Both rates were found to decrease with increasing hydro
carbon partial pressure and to be independent of hydrogen partial
pressure. The observed pressure effects on the Pt-Al^Og -mordenite
catalyst were adequately correlated by using the conventional Langmuir
adsorption approach and assuming the dynamic adsorption coefficients
of the hydrocarbons were equal. An exact knowledge of the reaction
mechanism is not implied because of certain limitations of the
Langmuir adsorption theory when applied to mixtures and reaction
environments.
The effectiveness of the model for cyclohexane dehydrogenation
and isomerization over the Pt-ALj03 -mordenite catalyst was examined
by comparing predicted and experimentally determined rate constants.
The average % error for the dehydrogenation rate constant was 8.4%
while that for the isomerization rate, constant was 10.5%. These
values correspond closely to the measured precision of the data and
xvii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. the model is considered to effectively represent the observed
experimental behavior.
The cyclohexane isomerization activity of the Pt-ALjOg-mordenite
catalyst was found to be approximately eighteen times that of the
Pt-ALjQj catalyst at 775°F. The difference in isomerization activity
can be qualitatively explained by the presence of the mordenite which
was found to be twelve times more acidic than the alumina by ammonia
chemisorption measurements. These data confirm that catalyst acidity
is directly related to isomerization activity.
The dehydrocyclization and dehydroisomerization capabilities
of the Pt-AlgOg-mordenite were also investigated by limited experi
mentation on n-heptane and raethylcyclopentane.
xviii
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER I
INTRODUCTION
The study of chemical reaction phenomena has assumed a role of
ever increasing importance in the physical sciences. This importance
stems not only from the insight gained into the fundamental nature of
molecules and bonds but from a commercial standpoint as well. Few raw
materials can be made into useful products by purely physical transfor
mations. The heart of most industrial processes is a chemical reaction.
The use of a catalyst to influence a reaction is a key area in the
study of chemical reactions, both academically and industrially. Pro
ducts from catalytic processes account for approximately 20% of the (3) gross national product of the United States and it has been postu
lated that a nation's usage of catalytic technology provides a good
index to the state of its industrial’ development.^ Nowhere does
industry depend more heavily on catalysis than in the petroleum and
petrochemical industry. The development of the modern catalytic pro
cesses for cracking and reforming are crowning achievements in catalytic
technology.
The position of catalytic reforming as an industrial process of
importance is evident from the present day U. S. capacity of about 2.5 4 million barrels per day. ( ) Initial impetus for catalytic reforming
on a large scale was provided by the need for synthetic toluene from
petroleum to supply the demands for TNT in World War II. Though reformer
1
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. construction lagged immediately following the war, the octane require
ments of post-war automobiles and the development of new economical
catalysts caused growth to spiral to the present day figure. Catalytic
reforming has recently been stimulated by the need of high pressure
hydrocracking for reformer by-product hydrogen. If governmental air
pollution requirements require the withdrawal of tetraethyl lead from
gasoline, future growth of catalytic reforming will undoubtedly be
stimulated.
The primary objective in catalytic reforming of gasoline for octane
number improvement is to convert naphthenes and paraffins to aromatics.
The usual feed is an olefin-free naphtha in the C6 - Cg boiling range
consisting of cyclohexane homologues, cyclopentane homologues, normal
paraffins, isoparaffins and single ring aromatics. Generally, the
ratio of cyclohexanes to cyclopentanes is not far from unity and the
ratio of isoparaffins to normal paraffins is less than the equilibrium
ratio at reforming conditions. There are at least five different
reactions that occur in catalytic.reforming:
a. Simple dehydrogenation of cyclohexane homologues to
aromatics.
b. Isomerization of cyclopentane homologues to cyclohexanes
with subsequent dehydrogenation to aromatics.
c. Dehydrocyclization of paraffins to aromatics.
d. Isomerization of paraffins.
e. Hydrocracking, especially of paraffins.
The principal reforming catalyst for toluene production during
World War II was molybdenum oxide supported on a high-surface-area
alumina. This type of catalyst is still being used to a limited extent
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 3
in making high octane gasoline. However, in about 95% of present (2) catalytic reforming capacity in the U. S., the catalyst employed is
a post-war development. In this post-war reforming catalyst, a small
amount of platinum metal is supported on a high-surface-area alumina
which may be modified (e.g., by halogen activation) to provide additional
acidity. Catalysts of this type are much more active than the MoOg-AljOa
catalysts, and somewhat more selective; but both general types are
remarkably similar in their promotion of the five typical reactions
discussed in the preceding paragraph. Both types of catalysts are what
are known as bifunctional catalysts which possess a strong hydrogena-
tion-dehydrogenation activity and an adequate isomerization activity.
For example, Pt and Mo02 are known as active species for hydrogenation-
dehydrogenation and in both cases the alumina base contributes to the
isomerization activity by reason of its acidity. However, too much
acidity will result in an undesirable increase in hydrocracking and a
superior reforming catalyst requires a careful balancing of the two
functions.
During the past decade, crystalline aluminosilicates or zeolites
have received considerable attention as catalytic materials. Synthetic
zeolites have high crystalline regularity with an acidic functionality
and early applications were directed toward their selective adsorption
properties. Intensive research is presently being conducted toward
application of zeolites to many important industrial catalytic processes
and commercialization has already been achieved for hydrocracking and
hydroisomerization.
The use of a zeolite as the acidic component of a bifunctional
reforming catalyst presents interesting possibilities but has received
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. little attention academically or industrially. This fact, coupled
with the importance of dehydrogenation and isomerization in catalytic
reforming has provided the motivation for this research.
This dissertation is a study of the dehydrogenation and isomeriza
tion properties of a bifunctional platinum-alumina-zeolite catalyst.
The zeolite component is synthetic mordenite which has a high isomeri
zation activity for aliphatic compounds. For contrast, a platinum
alumina catalyst with no acidic functionality is also studied. The
greater part of this research is directed toward the simultaneous dehy
drogenation and isomerization of cyclohexane supplemented by limited
studies on n-heptane and methylcyclopentane.- The primary objectives of
this research are to (1) investigate the use of the synthetic zeolite
mordenite as the isomerization promoting part of a bifunctional reform
ing catalyst and (2) develop a mathematical model for the simultaneous
dehydrogenation and isomerization of cyclohexane from the experimental
data on this catalyst over a wide range of conditions.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 5
LIST OF REFERENCES - CHAPTER I
1. Anonymous, "Why the Soviet Union Often Failed to Capitalize on its Excellent Studies of Catalysis," Chemical Engineering, 76 (No. 20), 66 (1969).
2. Ciapetta, F. G., "Special Report - Catalytic Reforming," Petro/Chem Engineer, 33 (No. 5), C-19 (1961).
3. Haensel, V., "Catalysis in the Petroleum Industry," presented at the 31st Midyear Meeting of the American Petroleum Institute's Division of Refining, Houston, Texas, May 9, 1966.
4. Stormont, D. H., "Modernization-Refinings Record of 1968," Oil and Gas Journal, 67 (No. 12), 108 (1969).
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER II
LITERATURE SURVEY
A. Introduction
A catalyst is a substance which, without appearing in the final
product, influences the velocity of a chemical reaction. The first
scientific observation of a catalytic transformation is due to Kirchhoff,
who in 1811 showed that mineral acids catalyze the starch-sugar reaction /oo\ without themselves being altered. During the period 1811-1900, many /oo\ catalytic reactions were investigated but it was not until shortly
after the turn of the century that catalysis was accorded world recog
nition. In 1909 and 1912 Ostwald and Sabatier respectively were awarded
Nobel Prizes in Chemistry for their work in reaction rates, chemical
equilibria and catalysis.
The petroleum and petrochemical industry are unmatched in applying
the achievements of research and development in catalysis to practical
industrial processes. The "catalytic era" in the petroleum industry
emerged with the catalytic cracking process which was developed largely
through the observations of Houdry from 1924 to 1928.^®’^®^ The first / loft} catalytic cracking unit went on stream in 1936 ' and since that time
the application of catalysis in the petroleum industry has grown at a
fantastic rate. Products from catalysis currently account for 20% of
the gross national product of the U. S. The petroleum and petrochemical
industry is almost completely catalysis oriented. In 1965 the catalytic
6
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processes of cracking, reforming, alkylation and hydrogen treating were (43) alone responsible for 9.6 million barrels per day capacity. The
primary reason for this orientation in the petroleum industry is that
catalytic methods are much more satisfactory for control of selectivity
than are straight thermal reactions.
One of the most interesting and important heterogeneous catalytic
processes is the reforming of virgin and cracked naphthas to produce pure
aromatic hydrocarbons and high octane gasoline. It is the most important
refinery technique for raising octane number and is second in capacity
only to catalytic cracking. As in catalytic cracking, catalytic
reforming was preceded by thermal methods which have virtually been
discarded in favor of the catalytic process for reasons of product
quality.
The first catalytic reforming unit went on stream in 1940 and (28) employed a process using a molybdena-alumina catalyst. This process,
which was used until 1950, was initially applied to virgin naphtha for (8$ production of aromatics to be used in explosives and aviation gasoline.
After World War II reformer construction lagged and by 1950 ’.nstalled
capacity was less than 80,000 barrels per day, some of which was not used
after the war due to high operating cost and lack of demand for high
octane fuels.
During the late 1940's catalysis investigations by petroleum
scientists led to the discovery of a new class of hydrocarbon reforming
catalysts which were more active and selective than the molybdena-alumina
catalysts. These new dual-function catalysts were obtained by the
deliberate incorporation of a hydrogenation-dehydrogenation component
such as platinum on a surface containing acid sites such as halogen
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. /or 28) activated alumina. ’ ' These catalysts are called bifunctional since
they simultaneously promote dehydrogenation and isomerization of saturated
hydrocarbons. The first process to use the new bifunctional catalyst
was the Platforming process of Universal Oil Products which was announced
in 1949. During the next five years nine new catalytic reforming pro
cesses were announced indicating that parallel investigations were being (27) carried out in many petroleum laboratories. ' The growth of catalytic
reforming in the past twenty years has been phenomenal. The present
U. S. capacity is about 2.5 million barrels per d a y ^ ^ of which 95%
is based on the platinum-containing catalysts, and the remainder on the (27) molybdena-alumina catalysts.
The usual catalytic reforming feed is an olefin-free naphtha in the
C6 -Cg boiling range consisting of cyclohexane homologues, cyclopentane
homologues, paraffins and single ring aromatics. Although any straight
run naphtha is a potential reformer feed, the product quality over
platinum catalysts will be governed by the feed composition. It has
been shown that the relative amounts of the hydrocarbons in a reformer
feed is a function of the crude source.The aromatics concentration
is usually less than 20% but the naphthene concentration may vary from (27) 12 to 70% depending on the crude source. There are at least five
different reactions that occur in catalytic reforming.(®®>64>28,113)
a. Dehydrogenation of cyclohexane homologues to aromatics.
0 — 0 + 3 ^
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b. Dehydroisomerization of cyclopentane homologues to
aromatics.
+ 3 H j
c. Dehydrocyclization of paraffins to aromatics.
nGjrfye «»- Y
d. Isomerization of paraffins.
nc7H16 ;==£ C%CH(CH 3)3C%
e. Hydrocracking of paraffins.
Other possible reactions that may occur are isomerization of substituted
aromatics, hydrodesulfurization of thiophenes and hydroisomerization of
olefins to isoparaffins. The extent to which each of these reactions
takes place depends on the catalyst, composition of the feed, and the
operating conditions.
The most important reactions in catalytic reforming from an octane
upgrading standpoint are dehydrogenation of cyclohexanes, dehydroisom
erization of cyclopentanes and dehydrocyclization of paraffins. This
importance lies in the fact that naphthenes and paraffins have lower
octane numbers than the corresponding aromatics to which they can be (281 converted. The naphthene dehydrogenation and isomerization reactions
form the basis for this investigation. The pertinent literature with
respect to these reactions is covered in detail in a latter part of this
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. chapter. The dehydrocyclization reaction has been the subject of many . ■ . (115,62,74,63) . _ . (28) . „ ,(46) pure compound studies, and Ciapetta et al and Hansch
give complete reviews of the literature. One current dehydrocyclization
study of interest is reported by L y s t e r ^ ^ who studied the dehydro
cyclization of n-heptane over twenty-four reforming type catalystsi
B. Non-Zeolite Catalysts
Non-zeolite catalysts have been used extensively for cycloparaffin
dehydrogenation and isomerization. Cycloparaffin dehydrogenation cata
lysts employed are usually a transition group metal or transition group
metal oxide. Non-zeolite cycloparaffin isomerization catalysts employed
are usually acidic halides or acidic chalcides. Bifunctional catalysts
for the simultaneous dehydrogenation and isomerization of cycloparaffins
contain a hydrogenation-dehydrogenation component and an acidic component.
1. Cycloparaffin Dehydrogenation Catalysts
Dehydrogenation-hydrogenation reactions are those in which a
hydrogen-hydrogen bond is broken or formed and in which hydrogen is a
reactant or product. Active catalysts tc\ reactions involving hydrogen
can be classified into three groups: (a) transition and bordering
metallic elements, (b) transition oxides or sulfides, and (c) other
oxides.
Pure metals and oxide supported pure metals have been found
to be active cycloparaffin dehydrogenation catalysts. The most common
pure metals reported to be active for dehydrogenation of cyclohexane (122 134) and other monocyclic naphthenes are platinum and palladium, *
although cobalt,rhenium,^ and nickel^have also been listed.
Examples of oxide-supported metal catalysts used for the dehydrogenation
of cyclohexane to benzene include Pt-AlgOs , (*06,23) Pt-TiOa , ^ ^
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Re-A]g03 , ^ ^ and Pd-AlgOg.^3^ Innes^33^ indicates that metal dehydro
genation catalysts must be capable of forming chemical bonds (chemi-
sorption) with the reactants, but bonding must not be so strong as to
inhibit the easy release of the reaction products. The strength of
bonding with hydrogen increases with the number of vacant d orbitals of
the metal. Catalytic activity, however, commonly reaches a maximum with
about one vacant d orbital per atom so that the elements Co, Ni, Rh, xr,
and Pt which have this characteristic are generally the most active
metals for reactions involving hydrogen.
Elements such as V, Cr, Mo, Ta, and W have a large number of
vacant d orbitals and are relatively inactive for reactions involving
hydrogen, which is probably due to their strong adsorption for reactants
and products.During dehydrogenation-hydrogenation conditions, the
lower oxides and sulfides of -.hese metals undergo partial or complete
reduction to the metal at the surface. After reduction of the oxide or
sulfide, Innes^33^ postulates that the electrons of the residual oxygen
or sulfur lessen the strong adsorptive properties of the metals by fill
ing some of the vacant orbitals, so that the adsorption and catalytic
properties would be similar to elements with fewer empty orbitals. This
theory may help to explain why the compounds Cr2 03 ,^ ^ * 23^ V2 03 , ^ ^
- Cr2 03 -AL,03 , MoOj-ALjOj, ,(124) M o S a / 8^ and NiW04 -ALjOg (23^ have
been reported active for the dehydrogenation of cyclohexane whereas the
pure metals are usually inactive for reactions involving hydrogen.
2. Non-Zeolite Cycloparaffin Isomerization Catalysts
Isomerization of hydrocarbons can be defined as a rearrange
ment of the molecular structure of the hydrocarbon without a change in
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molecular weight. Non-zeolite catalysts for the isomerization of cyclo-
paraffins are usually acidic halides or acidic chalcides (sulfides or
oxides).(32)
Acidic halides were the first catalysts commercialized for the
isomerization of saturated hydrocarbons and came into prominence during
the nineteen forties. Although the acidic halides as ordinarily prepared
are effective catalysts for the isomerization of saturated hydrocarbons,
it has been well established that these catalysts are ineffective in the (32) absence of a promoter or initiator. This promoter or initiator of
catalytic activity in the acidic haldies is a source of protons such as
a hydrogen halide or water^33,3^ ,^2,^ >*''^ and is usually present in
comparatively small amounts.For example, Stevenson and B e e c k ^ ^
found that moist aluminum chloride is catalytically active for the isom
erization of cyclohexane but has no effect when it is anhydrous. Alumi
num chloride and aluminum bromide are the most active and widely used (32) of the acidic halides for isomerization of saturated hydrocarbons
and have been used extensively for the isomerization of cyclohexane and
methylcyclopentane.(117,68,92,94) other acidic halides reported active
for the isomerization of paraffins are boron trifluoride plus hydrogen (54) (32) fluoride and zinc chloride. Although acidic halides have the
advantage of being active for isomerization at relatively low temperatures
(~ 250°F), they have the disadvantages of promoting undesirable side
reactions and being corrosive. They also have the disadvantage of being
poisoned by relatively small amounts of water and sulfur.
The elements oxygen, sulfur, selenium, and tellurium of Group
VIA of the Periodic Table have been called "chalcogens," a term analogous
to "halogens" used for the elements of Group VIIA. The compounds of
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these elements of Group VIA are called acidic chalcides. Although the
acidic chalcides include a great variety of solid oxides and sulfides, (32) the most widely used are silica, alumina and their mixtures.
Chalcide catalysts such as silica-alumina or alumina are not particularly
effective for isomerization of saturated hydrocarbons unless they possess
electronic (oxidative-reductive, hydrogenactive) as well as acidic
(electron pair accepting) properties. Hydrogenation-dehydrogenation
activity may be imparted to an acidic chalcide by the addition of a (29,77) transition metal or transition metal oxide such as platinum, ’ , . , (29,98) , (29) . . . (29,31,41) „ ,, (29) nickel, cobalt, molybdena, or tungstic oxide.
Acidic chalcides of the silica-alumina variety reported effective for (98 26 29) the isomerization of naphthenes and paraffins are Ni-SiOs -AlgOg, ’ *
Pt-SiOg-ALjOg Mo03 -Si02 -AL3O3 Th03 -Si03 -ALjOg ,*21^ and (21) ZrOg-SiOg-ALgOa . Other synthetic acidic chalcide catalysts used for
the isomerization of cyclohexane or cyclohexene to methylcyclopentane or
methylcyclopentene are B e O , ^ ALjOg-F^03 plus H C l , ^ ^ AlgOg-V3 03 ,
MoSg,^2 ’*^2^ and MoS3 -CoS. Although the acidic chalcides are non-
corrosive and selective for isomerization of hydrocarbons, their low
activity requires the use of high temperature (~ 70CPF) which is undesir
able from the standpoint of the thermodynamic equilibrium of the paraffin
isomers.
One recent development in non-zeolite isomerization catalysts
for saturated hydrocarbons is the combination of an acidic halide such (139) as aluminum chloride with an acidic chalcide such as platinum alumina.
This combination acidic halide-acidic chalcide type catalyst operates in
a moderate temperature range (200-40GPF) and apparently does not have
corrosion problems.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 14
3. Non-Zeolite Bifunctional Catalysts
The development of bifunctional catalysts for catalytic reform
ing of petroleum naphthas represents one of the most outstanding appli
cations of heterogeneous catalysis over' the past two decades. These
bifunctional catalysts usually consist of a dehydrogenation-hydrogenation
component such as platinum or palladium on an acidic support such as
silica-alumina or halogen promoted alumina.Such catalysts are
termed bifunctional since they have been found to simultaneously promote
dehydrogenation and isomerization of saturated hydrocarbons.
The earliest catalysts employed in catalytic reforming were
transition metal oxides such as molybdena or chromia supported on
alumina.Molybdena-alumina is still employed commercially in cata
lytic reforming, but only to a limited extent as compared to platinum-
alumina. It is a much less active catalyst. Also, due to side-reactions
leading to carbonaceous deposits, the molybdena-alumina catalyst must be /Og\ frequently regenerated. Early pure compound studies of the funda
mental reforming reactions over Mo02 -Al^Os and CrgOa-AlgO^ catalysts are (42) reported by Grosse et al who studied the dehydrocyclization of n- (41) heptane, and Greensfelder et al who studied the aromatization of
n-heptane, raethylcyclohexane, and methylcyclopentane. Although the
molybdena-alumina reforming catalyst is truly bifunctional since it
promotes both dehydrogenation and isomerization, the distinction between
the two types of sites is not clear since both types of catalytic centers (28) are present in this transition metal oxide. Since the development
of the bifunctional metal-acidic oxide reforming catalysts, the transition
metal oxide-alumina catalysts have little commercial importance and were (27) used in only 5% of U. S. reforming capacity in 1961. In spite of
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the lack of industrial stimulus MoOg-Al^t^ and CrgOa-A^C^ catalysts are
still being studied^^’^ ’^? as catalysts for typical pure component
reforming reactions to learn more about the mechanisms in catalytic
reforming and the chemistry of these catalysts.
During the mid 1940's, petroleum catalytic scientists began
to investigate the catalytic properties of active metal dehydrogenation-
hydrogenation catalysts as possible components of reforming catalysts.
These investigations led to the discovery of a new class of reforming
catalysts which were more active and selective than the transition metal
oxide catalysts. These catalysts consisted of a dehydrogenation component
such as platinum or palladium supported on an acidic isomerization pro
moting component such as silica-alumina or halogen promoted alumina. The
first commercial process to successfully employ the platinum-acidic oxide (141 142) type catalyst ’ was the Platforming process of Universal Oil (27) Products which was announced in 1949. The Platformir.g process was
an immediate success since its announcement coincided with the early
stages of the present octane race, and by 1951 twenty-five units were (28) operating, under construction, or under contract. During this time,
similar investigations were being carried out in other petroleum labora
tories and by 1956 twelve new catalytic reforming processes.had been (27) announced. All of these modern catalytic reforming processes employ
ing a platinum type catalyst are characterized by moderate temperatures
(850-950PF) , moderate hydrogen partial pressures (10-30 atm.) and low /or} regeneration frequency. As of 1961, 95% of catalytic reforming
capacity in the United States was based on the platinum-acidic oxide (27) type reforming catalyst.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 16
As already noted, the most common bifunctional reforming
catalysts today consist of an active metal dispersed on an acidic support.
A highly selective reforming catalyst must contain a very active dehydro
genation component. Several experimental procedures have been used to
determine the dehydrogenation activity of various metals and metal (27 130 30) (27) oxides. * ’ Ciapetta measured the rate of converting cyclo
hexane to benzene in a differential flow reactor under reforming con
ditions on several supported metal and oxide catalysts and this data is
shown in Table 1. These results show clearly why platinum has emerged
as the most desirable metal for imparting dehydrogenation activity to
reforming catalysts. Most platinum-acidic oxide catalysts have platinum
concentrations ranging from 0.1 to 1.0 wt. It has been s h o w n ^ ^
.that platinum concentrations higher than 0.5 to 0.7 wt. % do not increase
the activity of the catalyst. The acidic support for the platinum may
be either halogen promoted alumina or silica-alumina^^ although most (27) commercial platinum reforming catalysts use halogen promoted alumina.
The characterization of platinum on reforming-type catalysts
has received much attention. Platinum is usually incorporated on alumina (81) supports by chloroplatinic acid. Mills et alv ' have described the
distinct chemical steps in the preparation and use of the catalyst.
These steps are:
a. Impregnation,
HgPtClg (soln) -• HgPtClg (ionic adsorption)
b. Drying and calcining,
c. Reduction to metal from original salt,
HjPtClg + 2Hg - Pt + 6HC1
d. Catalytic use,
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Dehydrogenation Activity Values of Some Supported Table 1. ^etal an Dehydrogenation Activity Index* (micromoles Catalyst (wt. %) benzene/gm catalyst-sec) 34% Cr2 03 cogelled with AlgOg 0.5 10% M o 0 3 coprecipitated with Alg03 3 57» Ni on ALg03 or Si02 -AlgOg 13 5% Co on Alg03 13 0.5% Ir on Alg03 190 1% Pd on ALg03 200 5% Ni on Si02 320 1% Rh on Alg03 890 0.5% Pt on Alg03 or Si02 -Alg03 1400-4000 *fc Determined with cyclohexane in a differential flow reactor, 80CPF, 100 psig, and 6 moles Hg/mole cyclohexane after 30 min. pretreated in flowing Hj at the same conditions. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 18 e. Regeneration by burning off coke, Pt + 02 - Pt03 f. Reduction from oxide. Pt02 + 2E, -* Pt + E,0 These authors studied steps c., e. and f. and found that the platinum was highly dispersed and that loss of platinum effectiveness was paralleled by growth in platinum crystallite size. The high degree of dispersion of platinum on alumina was also noted by Spenadel and B o u d a r t ^ ^ who studied platinum dispersion by hydrogen chemisorption. I This study indicated that the crystal size must be less than 10 X and that the platinum may be dispersed as two-dimensional patches but not (71) as isolated atoms. Maat and Moscou studied the influence of platinum crystallite size on the n-heptane dehydrocyclization reaction and it was O found that at increased platinum crystallite sizes (> 100 A) the dehydro cyclization reaction rate decreased. The effect of platinum dispersion (33) on cyclohexane dehydrogenation has been investigated by Cusumano et al. (74) McHenry et al suggested that platinum on alumina exists as a complex which is soluble in hydrofluoric acid or acetylacetone. The alumina or alumina-silica supports used in bifunctional reforming catalysts have been shown to be acidic in nature by their chemical affinity for basic nitrogen compounds such as ammonia, n-butyla- (18 87 108) mine, pyridine and quinoline. ’ ’ As discussed previously, the function of the acidity is to give isomerization activity to the support. It has been suggested that acidic nature of silica-alumina arises from the replacement of silicon by aluminum atoms at the surface, yielding sites that may act as Lewis or Br^nsted acids.Although alumina itself is slightly acidic, it is much less acidic than the silica-alumina Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 19 combination.The most common way to incorporate acidity and hence isomerization activity to alumina is by treatment with halogens such as u, • n (141,142,145,151,144) . _ . .. , chlorine or fluorine. The halogen may be added during preparation of the catalyst or by the addition of organic halogens (27) to the reformer feed. The concentration of halogen on platinum- alumina reforming catalysts are commonly in the range, 0 .1 -1.0 wt. Although the simple term alumina has been used in this discussion, several phases of alumina e x i s t ^ * ^ which have been shown to have quite different catalytic properties.^"*’^ One of the most important considerations in bifunctional plati num-acidic oxide catalysts is the correct balance of the dual-functions. It has been shown that the platinum sites and acidic sites can act (52 132} (52} independently. ' Hinden et alv ' found that mechanical mixtures of Pt-Si02 and SiOg-AlgOa were active for the dehydroisomerization of methyl- cyclopentane to benzene. Since this stepwise reaction requires both isomerization and dehydrogenation, it appears that the olefin intermediates diffuse through the gas phase from one type of catalytic site to the other. (132) Similarly, Weisz and Swegler found that mechanical mixtures, in which the acidic and dehydrogenation functions were present on different parti cles were active for the isomerization of n-paraffins. The independent action of the dehydrogenation and acidic functions in platinum-acidic oxide catalysts makes it possible, to a certain extent, to exert control over these functions and obtain the correct balance in the catalysts. It has been shown previously that increasing the platinum content beyond 0.5 wt. % provides no increase in dehydrogenation activity. From a cost viewpoint, it is desirable to keep the platinum concentration as low as possible. The main problem, however, is correct adjustment of the acidity Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. of the support. Too much acidity will cause excessive hydrocracking while too little acidity will not sufficiently promote the desired (27) (27) isomerization reactions. Ciapetta ' has shown that although Pt-Si02 -ALgOg has a high activity for dehydrogenation and isomerization of saturated hydrocarbons at 75CPF, operation at 90(fF gives excessive hydrocracking due to high acidity of the Si02 -Alg03 . Acidity of Pt-Si02 - (27) A1203 catalysts can be controlled by reduction in surface area, (27) addition of controlled amounts of alumina to silica gel or by addition of basic metal oxides.A similar problem in acidity control exists with Pt-AlgOjj catalysts promoted by halogens. A study of the reactivity of a n-heptane-cyclohexane mixture at 800PF over a Pt-Alg03 catalyst with (27) varying amounts of chloride was reported by Ciapetta. 7 The results indicate that while catalysts with less than 0.06 wt. % chloride have virtually no heptane isomerization activity, an increase to 0.49% gives a tremendous increase in isomerization activity. Increasing the chloride content to 1.2 wt. % gives increased isomerization activity but the selectivity to heptane isomers is decreased due to excessive hydrocrack ing. All of these results indicate that control of acidity in bifunc tional reforming catalysts is essential. Pure compound studies over bifunctional platinum-acidic oxide catalysts at reforming conditions have been numerous. Heinemann et al^ ^ studied the reactions of cyclohexane, methylcyclohexane, methylcyclopentane /Og\ and n-heptane over the Houdry platinum on alumina catalyst at 95CPF and 300-600 psig. A companion paperproposes a reaction mechanism for the C6 hydrocarbons. Hettinger et al^ ^ report extensive data on the reactions of n-heptane, alkylcyclohexanes, and other pure compounds over the Sinclair-Baker RD-150 platinum on alumina catalyst^ ' over Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 21 / temperature and pressure ranges of commercial interest. Data are also presented on the effect of particle size, platinum concentration and (44) catalyst poisons. Haensel and Donaldson show the effectiveness of the Platforming catalyst^®^ (Pt-AlgOg-Cl) to promote typical reforming reactions using n-heptane, n-pentane, cumene, and methylcyclohexane. The reactivities of thirty individual Cg -C8 naphthenes over a platinum-alumina- halogen catalyst were investigated by Keulemans and V o g e , ^ ^ and a detailed reaction mechanism is proposed which accounts for the influence of structure on reactivity. Data on the reactions of cyclohexane and methylcy.clopentane over Pt-Alg03 -Cl and Pt-ALjOg catalysts at very high (45) space velocities are reported by Haensel et al. Cyclohexane was observed as a primary product and a reaction mechanism explaining the experimental data is presented. Detailed literature surveys on pure component studies over bifunctional reforming catalysts are given by S i n f e l t ^ ^ and Ciapetta. Bifunctional platinum-acidic oxides catalysts are very sensi tive to certain poisons. These poisons may be of a permenent nature such as arsenic or lead or of a temporary variety such as nitrogen or sul- (27) fur. The effects of the temporary poisons on cycloparaffin reactions over platinum alumina catalyst are reported by Meisel et al , ^ ^ Minachev and Isagulyants^®^ and Haensel.Hettinger et al^ ^ report the effect of the permanent poison arsenic for typical reforming reactions in addition to a study of the temporary poisons. C. Crystalline Zeolites 1. Introduction During the past decade, the unique physical and chemical prop erties of crystalline aluminosilicates, called zeolites, have attracted Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 22 widespread attention in scientific circles and in the chemical process industry. The basic building block in any zeolite crystal is a tetra hedron of four oxygen atoms surrounding a silicon or aluminum atom. The different geometrical patterns in which these Si04 and A104 tetrahedra are arranged form the basis for the different physical and chemical properties of the various classes of zeolites. Smith has recently defined a zeolite as "an aluminosilicate with a framework structure enclosing cavities occupied by large ions and water molecules, both of which have considerable freedom of movement, permitting ion exchange and reversible dehydration."*22^' There are over thirty naturally occurring zeolites and many synthetic variants have been made which have quite different prop erties from their natural counterparts.*^ Zeolite minerals were discovered and named in 1756 by Baron Cronstedt, the Swedish mineralogist.*22) Early research (1840-1925) on zeolites was concentrated on purely physical phenomena such as ion (22) exchange, reversible dehydration and adsorption properties. The term "molecular sieve" was proposed for crystalline zeolites in 1932 by McBain*^) in a discussion of the significance of the early adsorption studies. The period 1930-1945 produced significant studies on the struc ture of natural zeolites***^ and their sorptive properties.* ) During the late nineteen forties, research was directed toward synthesis of zeolites; and by 1952, the Linde Company had successfully prepared several synthetic varieties.*22) The early synthetic zeolites were applied primarily to the selective separation of gases. The past decade has seen the emergence of zeolites as important catalytic materials. The regular, ordered arrangement of the zeolite crystals permits catalysis to be treated as an exact science. Although Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 23 zeolites are still important in adsorption, ion exchange and water soften ing, their future use in catalysis is expected to overshadow all other commercial applications.^^ 2. Physical Properties of Zeolites a. General There are over thirty naturally occurring zeolites; and in addition, many have been synthesized in the laboratory.^ All zeolites’, natural or synthetic, are composed by Si04 and A104 tetrahedra as shown in Figure 1, having the basic form o f : ^ ^ ^ 0 -1 r 1 -1 r I 1 0 0 < - J % O 0 1 1 1 1 l+ 1 1 M- 0 0 and 1 1 0 0 L I • I - The oxygen atoms are mutually shared between tetrahedral units, contrib uting one of the two valence charges of each oxygen to each tetrahedron. The Si04 tetrahedra containing the tetravalent silicon are electrically neutral while the A104 tetrahedra containing the trivalent aluminum are negatively charged. Electrical neutrality is typically maintained by the presence of an alkali metal or alkaline earth ion such as Na+ , K+ , CaP+ , BaP+ , or Sr3 + . >m>90) g£nce each A104 tetrahedron requires only a monovalent cation for electrical neutrality, a divalent cation may be -shared between two A104 tetrahedra. Figure 1 shows the spatial arrange ment of simple zeolite crystal with examples of monovalent and divalent cations. A general empirical formula of a unit cell for all zeolites, (22 121) natural or synthetic, is ’ Mex/N £(A102)X (Si02)v J • Zl^O Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 24 Electrically neutral 0 Si04 tetrahedron f .Si Na A104 tetrahedron uses a Al monovalent sodium atom 0 to balance charge Ca Al Si Al Two A104 tetrahedra share a divalent calcium atom which balances charge (79) Figure 1. Basic Structure of Zeolite Crystals Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 25 The notation Me represents a metal cation of valence N while X, Y and Z give the number of moles of alumina, silica and water respectively per unit cell. Table 2 gives the compositions and some structural properties for several zeolite groups. The Si04 and A104 tetrahedra in zeolites may be joined together in an almost infinite variety of geometrical patterns. This variation in geometry, plus the metal cations included, determine the physical and chemical characteristics of any particular zeolite. A recent structural classification of zeolites by x-ray diffraction divides them into seven groups: analcite, natrolite, chabazite, harmoi.one, (121) heulandite, mordenite, and faujasite. This structural classification can be broken down into three general classes: (1) chainlike or fibrous crystals, (2) layer structures and (3) semi-rigid three dimensional (79) structures. Mordenite is an example of a chainlike structure and will be discussed in detail in the next section. Zeolites in the chaba zite group have frameworks best represented in terms of sheets or layers, and are an example of the second general structural class. An example of semi-rigid three dimensional zeolites is the sodalite group (7 9 ) which contains faujasite and Linde's A, X, and Y zeolites. The sodalite group of zeolites are all based on frameworks which are simple (22) arrangements of truncated octahedra. This arrangement of truncated octahedra forms periodic inner cavities or cages in the crystal structure, and an example of the cage structure for faujasite is shown in Figure 2. Each vertex in the cage structure represents a silicon or aluminum atom and the edges represent oxygen atoms linking the tetrahedra. The inner cavity has a diameter of about 11 %. and access is by four twelve-sided 9 (79) windows having diameters of about 9 A each. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ro CTv 6.6 2.6 8 8 4.0 8 4.0 2.8 4.2 ~ 3.0x4.3 3.6x5.2 Size, Size, A Aperture * 4c 0.22 0.15 0.22 0.29 0.21 0.30 0.099 0 2.0 cnP /gm cnP Void Volume, Symmetry Hexagonal OrthorhombicMonoclinic 0.14, Orthorhombic Rhombohedral CubicCubic 0.35 0.35 Orthorhombic Cubic 0.36 Cubic Cubic Cubic 1011,0 ] ] 2711,0 • ) )i32 ] 260HgO * )i3B ] 264HgO * 22 2 )12 2 2 ( )i B ] * ] 26 IIjO * B )i (Si02 )26] • (Si02 )26] 2811,0 • 2 (Si0 (Si02 )32] (Si02 )32] 16IfeO • 1 0 (Si0 ) (Si02 )4O] • )4O] (Si02 2411,0 • (Si03>6 3 • (Si03>6 3 2C1 • 2 1 6 5 6 8 )ag(Si02)1O6 3 264HjO * ) ) 6 ) ) 2 )12 2 2 ) Q (S10 Q ) 2 2 2 102 [(A10 4 L(A102 )g (Si02 )2.jp j * j 27HgO * )2.jp (Si02 L(A102 )g L(A [(A10 L(A10 .6 1(A10 Ca .2 2 8 6 4 1 6 a4 Naa[(A10 C C^ ^a Kg L(4102)b (SiOg)!! ] • ] • (SiOg)!! L(4102)b Kg Na Source Composition Idaho Synthetic ] 2411,0 • )4O (Si02 t(A102)e Nag Italy Synthetic Synthetic Naj Germany C^oCCAtaajeo(Si0 Many Name Table 2. Some Zeolites Theirand Properties. Stilbite Many Na Erionite Oregon Philipsite Sodalite Many Naell(A10 ZeoliteA Mordenite Mordenite Chabazite Nova Scotia Faujasite ZeoliteX Zeolite Y Synthetic C(A10 Analcime Based on amount the water of contained per gram of dehydrated zeolite. Unknown Structures Sodalite Group Phillipsite Group Mordenite Group Chabazite Group Analcime Group Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 27 Figure 2. Cage Structure for Faujasite Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 28 In general, zeolites are characterized by a narrow, uniform continuous channel system that becomes available after the water of hydration is driven off by heating and evacuation.It is this property that gives the zeolites their "sieving property" since materials held in channels may be driven off without collapse of the crystal struc ture. The empty channels are then in a condition to receive other mole cules and the rigidity and fixed dimensions of the crystal structure limit the size of the molecules that can be accomodated.Excellent reviewsLews (22) of the structural characteristics of zeolites have been given by Breck, B a r r e r , ^ ’^ Venuto et al, ^ ^ ^ and Meier. b. Mordenite A unit cell of the zeolite mordenite has the empirical .... . (22,127,121) chemical formula Na0 [(A102 )8 (Si03)4O] • 24HgO Mordenite has been found in such diverse parts of the world as Iceland, Nova Scotia,^39^ Soviet Union,andUni Idaho.It can also be (10,135,34,138) synthesized. Structurally, mordenite is characterized by a two dimen sional, tubular pore system which is parallel to the fiber axis of the (127) crystal. ' A cross-sectional view of mordenite is shown in Figure 3. The silicon and aluminum atoms are represented by the points of inter section while the linking oxygen atoms are represented by the lines. The crystal structure consists of chains of silica and alumina tetrahedra linked laterally so that a system of large elliptical parallel channels (127) interconnected by smaller cross channels is created. As reported by Meier,in his structural investigations, mordenite is orthorhombic with unit cell dimensions of: a = 18.13 X, b = 20.49 X, and c = 7.52 X. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. b=20.49A (37) Figure 3. Cross-Sectional View of Mordenite. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 30 A unit cell of mordenite contains two of the large parallel elliptical tubes and extends a distance of 7.52 A perpendicular to the plane of the .page in Figure 3. Ideally, the dimensions of the large elliptical channels are 6.95 A by 5.81 A while the small elliptical cross channels have major and minor diameters of 4.72 A and 3.87 The effec tive channel diameters may be reduced by stacking faults which are (127 75) periodic displacements of the lattice network. * The first successful synthesis of mordenite was achieved by B a r r e r ^ ^ who crystallized mordenite from aqueous suspensions of sodium aluminosilicate gels. The optimal temperature for crystallization was 265-29fPc at a pH of 8-10. The resulting mordenite product was found to readily undergo cation exchange and was a good gas adsorbent. Recent (34) synthesislesis iof mordenite have been reported by Domine and Quobex and (135) Sand. Mordenite has a high Si/Al ratio and a good thermal and acid stability. Sodium mordenite can be readily cation exchanged or converted to hydrogen mordenite by exchange with ammonium ions with subsequent calcining, or by dilute acid treatment. Mordenite is one of the few zeolites that will undergo complete hydrogen ion exchange in acidic media without destruction of the crystal structure. 3. Sorption, Diffusion and Acidity in Zeolites The capacity of porous solids to sort mixtures of molecules according to their size and shape has been exhibited in a variety of (7) sorbents such as coals, active carbon, and silica gels. Nowhere,, however, is molecular sieve separation so specific and quantitative as in the naturally occurring zeolites or their synthetic variants. Once zeolitic water has been removed by heating and degassing, crystalline Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 31 zeolites are able to sorb guest molecules in great variety and yet in a highly selective manner. Zeolitic crystals are permeated by continuous channel systems and entry is regulated by windows located periodically through the structures. Free access to the structure is controlled by the dimensions of the cavity windows and not by the free dimensions of the cavities themselves. The first report of the molecular sieve behavior of zeolites was in 1925 when Weigel and Steinhoff studied the sorption properties of (22) an anhydrous chabazite. The affinity of dehydrated zeolites for a wide variety of guest molecules was recognized at an early date by (11) Barrer who in 1938 reported on the sorption of argon, nitrogen, hydrogen, and ammonia by five natural zeolites. Since 1938, the scien tific literature has contained many reports on the sorption characteris tics of natural and synthetic zeolites. Sorption studies on such zeolites as erionite,^ Linde 5A,^^ gmelinite,^^ montmorillonite,^^ and (9 109 37 39 13) mordenite ’ ’ * * have led to the development of several important commercial separation, drying, and purification processes. (133) (131) .As discussed by Wheeler and Weisz and Prater, the surface reaction in heterogeneous catalyzed reactions may not be rate controlling. In many solid catalyzed reaction systems, the processes of bulk mass transfer, pore diffusion, and catalyst adsorption/desorption •may determine or affect the overall reaction. Pore diffusion in catalyst particles may occur by one or more of three possible mechanisms: ordinary diffusion, Knudsen diffusion, and surface diffusion. Ordinary O diffusion usually occurs in pores with a diameter greater than 10,000 A; and under these conditions, a molecule within the pore structure will (133) collide with other molecules far more often than with the pore wall. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. ' 32 O Knudsen diffusion or molecular flow usually occurs in pores of 20-1000 A diameter; and in this case, the molecules collide with the pore wall much more frequently than with each other.Flow through very small channels (5-20 A) is known as surface d i f f u s i o n ^ ^ * ^ ^ and is charac teristic of the molecular movement in the channels of crystalline zeolites. Prior to 1960, little research had been done toward the investi gation of surface diffusion effects.(133,110) & resuit of the growing interest in zeolites as catalytic agents, some work on the diffusion of /Og\ hydrocarbons in zeolite structures has begun to appear. Eberly studied adsorption and diffusion of n-pentane through n-octane on erionite and 5A molecular sieve. Measurements were made at temperatures from 93° to 207°F and the diffusivities, calculated from adsorption and desorption curves using Pick's second law, were quite different. Measured diffusion coefficients were in the order of 10"7 cn?/sec. Satterfield and Frabetti^**^ found that diffusion coefficients for desorption were from 3 to 60 times smaller than those for adsorption in their study of the diffusion of -C4 .paraffin gases in single sodium mordenite crystals. Measured diffusion coefficients at 0 to 20 cm. Hg and 25^ to 14CPC were in the order of 10”9to 10~10 cnP/sec. Beecher et al^ ^ measured the diffusivities of n-decane, decalin, toluene and various inert gases in synthetic mordenites. Aluminum deficient mordenite prepared by acid leaching was found to have a much lower diffusion resistance than conven tional mordenite. Acidity in zeolites may arise in two different ways depending on how the zeolite is prepared or chemically treated. If the monovalent cations in zeolites are exchanged for divalent cations such as CaP*, then in certain parts of the zeolite crystal, each of the A104 tetrahedra Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 33 will contain a net positive charge because of the charge imbalance and the inability of the rigid crystal network to move and accomodate the imbalance.This exchange can be represented b y ^ Na+ Na+ w v v v y / \ / \ / \ /■ \ / \ / \ Exchange N 0 0 0 0 0 ' o r o o oj /V V V V * 'V Vs/ V a/\ This net positive charge is the site of the acid activity of the catalyst, and the smaller the divalent cation the greater the acid activity since a larger electrostatic field results. If, however, the monovalent cation in the original zeolite is ion exchanged with mineral acids or exchanged with with subsequent calcining, the hydrogen form (decationated) of the zeolite results. Venuto et al^ ^ suggest that there exists a possible analogy between hydrogen zeolites and certain heteropoly acids. Depending on temperature, the acidity in hydrogen zeolites may take one of two possible forms. At temperatures in the order of 3 0 C P c ^ ^ zeolites that have been Nl^ (127) exchanged will evolve NI^ and the following mechanism is postulated:' 4. *4* n n j ht o yOv 0 m 0 ,0. V °V 0H y ° \ l \ i ( ^ / A i ^ a t ( ?± A1 \si 0 \/ 0 0 0(/ o o o / o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 34 The equilibrium pair formed by loss of ammonia is viewed as a BrjJnsted a c i d ^ ^ ^ and infrared studies by Liengme and H a l l ^ ^ and Uytterhoeven et confirm their existence. At about 50CPC, a second process (127 123) called dehydroxylation, becomes important in decationated zeolites. ’ In this process, the protionic form exhibits instability and decomposes losing one mole of water per pair of A104 tetrahedra to form the defect . . (127,123) structure. 2 °\ A1 °H)S1( /° - .feO + °\)Alx /°\ )S1 /° ♦ °\ Al Si +/° 0 00 o 0 00 0 0 0 0 0 This structure is viewed as a Lewis acid, and under certain activation (123) (19) conditions both Lewis and Br0nsted sites may be present. Benesi studied the reactions of toluene, n-butane, and n-pentane on mordenite and synthetic faujasite and determined the catalytic activity as a func tion of the decomposition of the ammonia zeolites to their hydrogen (BrfSnsted acid) and hydrogen-free (Lewis acid) forms. 4. Catalytic Properties of Zeolites a. General The first patent concerning the use of a zeolite catalyst was issued in 1917 and reported the use of palladium-exchanged chabazite for hydrogenation-dehydrogenation reactions.From 1917 to 1960, industrial and academic interest in zeolites was directed primarily toward structural identification and use as selective adsorbents. Since I960, however, the open literature on zeolite catalysis has become voluminous, and it is postulated that zeolite catalysts will be far more important commercially than molecular sieve adsorbents were ever expected (79) to be. The unique properties of crystalline zeolites permit Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 35 catalysis to be treated as an exact science with catalysts tailor-made to fit the properties of the desired reactant(s) . The unique properties that set zeolite catalysts apart from conventional ones a r e / 9^* a. Their ionic surfaces provide unusually strong carbonium ion activity. b. Their exchangeable cations facilitate the introduction of catalytically active metals in the highest degree of dispersion. c. They are completely crystalline with uniform internal pores of molecular dimension. Since 1960, crystalline zeolites have been found to catalyze numerous organic reactions of interest. Catalytic cracking was (79) the first commercial breakthrough for zeolite catalysis. Catalysts investigated for cracking activity include natural and synthetic u,orda„ite/60-129*W 6 -137-59-78> fa»jaslte,<129'99’78> x-aeollte/4® grnelimta/129-146-78) stilblta,'129’78’ chabaalte,<78> and oKretite<78> Zeolites investigated for high pressure hydrocracking typically are impregnated with an active dehydrogenation-hydrogenation component and include mordenite^17* and faujasite/47* Crystalline zeolites have frequently been reported as active isomerization catalysts and may or may not have an active hydro- genation-dehydrogenation component. Zeolites used for isomerization of n-paraffins/39,104,103,25,53,16* naphthenes/53,39* and alkylaromat- ics<150> include mordenite,<25,53,16,39,150> X-zeolite,<103> and Y-zeolite/1^4,1^3* Other reported applications of zeolites are alkyla- t i o n / 126* catalytic reforming/147,136’149’148* olefin polymerization^86* and dehydrohalogenation/123* Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Due to their unique properties, crystalline zeolites have great potential for catalysis of commercially important reactions. Table 3 lists some of the processes that can look to zeolites for calculated catalysis. b. Mordenite Natural mordenite has good thermal stability, acid resis tance and ideally has a fairly open structure.In spite of these advantages, natural mordenite is subject to stacking f a u l t s ^ ^ which can o o (127) reduce its effective channel size from about 7 A to about 4 A. * This reduction in effective channel size bars molecules such as n-heptane, cyclohexane, or benzene from the crystalline structure. Recently devel oped synthetic mordenites seem to be more free of stacking faults and have considerable capacity for large molecules. One of the first reports on catalysis over mordenite was published in 1961 by Keough and S a n d . ^ ^ These authors studied cracking of n-decane and hexadecane over the hydrogen form of synthetic sodium mordenite and found it to be much more active than conventional Si02 - (59) Al^Og cracking catalyst. Keough reports data on the cracking of n-decane and cumene over hydrogen mordenite and various cation exchanged synthetic mordenites. Hydrogen mordenite had the greatest cracking activity, and the data obtained are compatible with a carbonium ion ( 129) mechanism. Data obtained by Weisz and Miale on the catalytic crack ing of n-hexane confirm the high activity of mordenite in relation to conventional silica-alumina cracking catalyst. (47) Extensive data were obtained by Hatcher' on hydrocrack ing of cyclohexane and n-hexane at typical hydrocracking conditions over synthetic hydrogen mordenite impregnated with palladium. A reaction with permission of the copyright owner. Further reproduction prohibited without permission 37 (79^ Table 3. Possible Applications of Zeolite Catalysts. Probable Process Zeolite Catalysts Competitive Features Catalytic Cracking X and Y Improved Yields; Reduced Light Gas and Coke. Isomerization Y, Mordenite Troublesome Activators Unnecessary; High Selectiv ity and Resistance to S Poisoning. Catalytic Reforming Y, Mordenite Activators Unnecessary; Gasoline with Reduced Sensitivity. Polymerization Y Noncorrosive. Alkylation Y Noncorrosive; Feed Pretreat ment Minimized. Hydrodealkylation X and Y High Activity and Improved Selectivity. Hydrogenation X and Y Resistance to S Poisoning. Hydrogenation of X and Y High Selectivity and Low Fats and Oils Isomerization. Selective Hydro A Separation Problems genation Minimized. Methanation X and Y High Yields; Resistance to Poisons. Dehydrogenation X and Y Improved Selectivity. Dehydration A Improved Rates and Yields. Dehydrohalogenation A Molecular Size; Selectivity. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 38 mechanism Is presented and results on the mordenite are compared to the results obtained on a synthetic faujasite. Beecher et al^ ^ report data on hydrocracking of n-decane and decalin over palladium hydrogen mordenite catalysts. An aluminum deficient Pd-H mordenite prepared by acid leaching was found to have superior hydrocracking activity to the conventional mordenite, which was accounted for in part by lowered diffusion resis tance . Isomerization of hydrocarbons via zeolite catalysts is a subject of much current interest. Reported advantages of zeolite base catalysts for isomerization are: high activity, lack of corrosion problems, and resistance to poisons. Extensive data on the isomeri zation of n-pentane, n-hexane, and cyclohexane have been reported by _ (25) „ . (16) . „ (53) Bryant, ' Beecher, ' and Hopper. (25) Bryant ' studied the isomerization of n-pentane over synthetic hydrogen mordenite with and without palladium impregnation. The overall conversion rate was found to be independent of concentration of the dispersed metal, indicating that the hydrogenation-dehydrogenation functions of the catalyst were not rate limiting. The conversion rate, however, was significantly influenced by the acidity of the cations in the crystal lattice. Beecherstudied the isomerization of n-hexane plus other normal paraffins over synthetic hydrogen mordenite and faujasite. Both catalysts were prepared with and without palladium impregnation. The mordenites were found to be much more active for paraffin isomeri zation than the faujasites. A detailed reaction mechanism for the isomerization of n-hexane is presented. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 39 A series of palladium hydrogen mordenite catalysts of (5 3 ) varying SiOa/AlgOa ratio were evaluated by Hopper for the isomeri zation of n-pentane and cyclohexane. The relative activity for cyclo hexane isomerization was found to be independent of the SiOjg/ALgOs ratio while the activity for pentane decreased with decreasing SlOg/AlgS^ ratio. Although most research on mordenite-containing catalysts (136. has been directed toward cracking and isomerization, recent patents 149 148) * indicate that mordenite may find application in catalytic reforming. Mobil Oil Corporation^claims a naphtha reforming catalyst can be made using an acid extracted synthetic mordenite. Standard Oil (149 148) Company of Indiana' ' 7 describes a process whereby a platinum alumina mordenite catalyst is active for naphtha reforming if basic % nitrogen compounds are added to the feed. D. Catalytic Mechanisms t 1. Dehydrogenation of Naphthenes The mechanism of naphthene dehydrogenation has been studied (4) extensively by Balandin who has postulated the multiplet theory for dehydrogenation catalysis. Balandin postulates that catalytic dehydro genation occurs when a group of surface atoms appropriately spaced and of necessary activity adsorb the reactant in a definitely oriented position. Cyclohexane is assumed to adsorb on a hexagoned metal crystal face such that all six hydrogen atoms are lost simultaneously. Balandin has shown that those metals possessing the correct crystal structure and interatomic distances are effective for cyclohexane dehydrogenation and vice versa. Furthermore, the multiplet theory predicts that: (a) cyclo- hexene and cyclohexadiene should not be obtainable from partial dehydro genation of cyclohexane and (b) cyclopentane and cycloheptane should not Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. AO be dehydrogenated by metal catalysts. While this theory satisfactorily explained experimental data at that time, more recent data on oxide and metal acidic catalysts essentially refute the multiplet hypothesis of dehydrogenat ion. Herrington and Rideal^^ studied the dehydrogenation of cyclo hexane to benzene over Cr2 03 supported on alumina. Cyclohexene was observed and the proposed mechanism was 0 * O * 0 * o + % + ^5 + No cyclohexadiene was observed experimentally and it was concluded that this component existed only on the catalyst surface. It was also con cluded from the kinetic measurements that the loss of the first pair of hydrogen atoms was the rate controlling step. Hills et al^ t y studied the reactions of cyclohexane, cyclo hexene, methylcyclopentane, and methylcyclopentene on three different types of catalysts. These hydrocarbons were tested using a single func tion isomerization catalyst, a single function dehydrogenation catalyst, and a bifunctional Houdriforming catalyst (noble metal-acidic oxide) . It was found that the dehydrogenation of cyclohexane to benzene proceeded as well over the dehydrogenation catalyst as it did over the bifunctional catalyst but did not take place over the catalyst containing only acidic functionality. Olefin formation was observed with cyclohexane on both dehydrogenation and bifunctional catalysts. Like Herrington and R i d e a l / ^ these authors state that the dehydrogenation of cyclohexane to benzene may proceed stepwise through the olefin and diolefin Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 41 » intermediates. Additionally, they postulate that the stepwise dehydro genation may take place on a single dehydrogenation site which can account for low observed olefin concentrations in the gas phase. 2. Isomerization of Naphthenes Two general types of catalytic mechanisms have been proposed for the isomerization of saturated hydrocarbons. One has been postulated for isomerization of saturated hydrocarbons over acidic halide catalysts and the other for supported metal catalysts. Isomerization of saturated hydrocarbons over acidic halide catalysts is presently thought to occur by a carbonium ion chain mecha nism first proposed by Bloch et al^ ^ in their study of n-butane isom erization over an AlClg-HCl catalyst. These a u t h o r s ^ ^ state that the mechanism is also applicable to cycloparaffins, and confirming evidence has been obtained for the isomerization of methylcyclopentane and cyclo- (93 91 92 94) hexane. ’ * ’ To start the ionic chain reaction, an initiator is needed.Trace amounts of oxygen,alkyl halides,olefins, (92) o r light have been found to be effective initiators. The mechanism (91) can be demonstrated for the isomerization of methylcyclopentane as: a. Carbonium ion formation ,+ + R b. Carbonium ion rearrangement Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 42 c. Chain propagation O * O'- O * d CHj A different type of mechanism has been proposed for the isom erization of saturated hydrocarbons catalyzed by metals on acidic supports. This bifunctional mechanism, as discussed by Sinfe l t ^ ^ and /£1\ Keulemans and Voge, involves both hydrogenation-dehydrogenation and isomerization sites with gas phase migration of the reaction intermediates between the sites.. This mechanism can be demonstrated for the isomeri zation of cyclohexane as: a. Dehydrogenation to olefin Metal Site o ■ □ * ' b. Carbonium ion formation Acid Site + H+ 0 c. Carbonium ion isomerization Acid + Acid + P X Site | |CHg Site .----- .CHj U s o = o d. Olefin formation Acid p ’ " " c r * H+ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. A3 e. Olefin hydrogenation Metal ji CH3 Site i JCH3 C3 - q Confirming evidence in support of this bifunctional mechanism for naph- thene isomerization over metal-acidic oxide catalysts has been obtained by Hinden et al^ ^ andMills et al. ^ ^ Keulemans and Voge^^ propose that the carbonium ion isomerization is rate limiting. 3. Combination Dehydrogenation and Isomerization of Naphthenes Mills et al^*^ studied the reactions of cyclohexane, cyclo- hexene, methylcyclopentane, and methylcyclopentene on three types of catalysts. These catalysts were a single function dehydrogenation catalyst, a single function isomerization catalyst and a bifunctional dehydrogenation-isomerization catalyst. It was found that dehydrogenation of cyclohexane to benzene was essentially the same over the bifunctional and dehydrogenation catalysts but did not take place over the catalyst containing only isomerization functionality. The isomerization and dehydroisomerization of methylcyclopentane to cyclohexane and benzene only occurred to a significant extent over the bifunctional catalyst while the isomerization of cyclohexane to methylcyclopentene required only an acidic functionality. To explain these observations, Mills et al^*^ proposed the reaction scheme shown in Figure 4 for reforming C6 hydrocarbons. The vertical paths in Figure 4 take place on the dehydrogenation-hydrogenation sites while the horizontal paths take place on the isomerization sites. These authors propose that methylcyclopentane conversion to benzene proceeds by first converting to methylcyclopentene on a dehydrogenation site. This methylcyclopentene then migrates to an Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 44 n-Hexane i-Hexanes It iT C% s: n-Hexene i-Hexenes o a CO ij Isomerization Sites , Reforming C« Hydrocarbons with a Bifunctional Figure 4. B ®* Catalyst (8°* Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 45 isomerization site where cyclohexene is formed. The cyclohexene migrates to a dehydrogenation site where further dehydrogenation to cyclohexadiene and finally benzene takes place. ' (45) Haensel et al studied the dehydrogenation of cyclohexane to benzene over a Pt-ALgOg catalyst at 520^0, 300 psig, and space velocities from 1000 to 32,000. Cyclohexene was observed to be a primary product. The dehydroisomerization of methylcyclopentane was also studied over a Pt-AlgOg-Cl catalyst, and methylcyclopentene was observed as a primary intermediate product. Based on these observations, Haensel and co-workers proposed that the mechanism for the dehydrogenation and isomerization of cyclohexane is 0 = 0-0 ^ - jCHg which is essentially the same as that proposed by Mills et al. ^ ^ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. L IS T OF REFERENCES - CHAPTER I I 1. Andreev, A. A., Shopov, D. M . , and Kiperman, S. L., "Kinetics of Cyclohexane Dehydrogenation in a Gradientless System," Kinet. Katal. (U.S.S.R.) 7, 1092 (1966); Chemical Abstracts, 6£, 85291 (1967) . 2. Anonymous, "Molecular Sieves Enter the Catalyst Market," Chemical Engineering 7 1 , (No. 26), 52 (1964). 3. Arbuzov, Yu. A., Batuev, M. I., and Zelinskii, N. D., "Contact Isom erization of Cyclohexene," Bulletin of the Academy of Science (U.S.S.R.), 665 (1945); Chemical Abstracts, 42, 5857 (1948). 4. Balandin, A. A., "The Theory of Heterogeneous Catalytic Reactions. The Multiplet Hypothesis. Model for Dehydrogenation Catalysis," Z. Physik. Chem., 2^, 289 (1929); Chemical Abstracts, 23, 2872 (1929) . 5. Balandin, A. A., Karpeiskaya, E. I. and Tolstopyatova, A. A., "Catalytic Dehydrogenation of Hydrocarbons and Alcohols over Metallic Rhenium," Doklady Akad. Nauk (U.S.S.R.) 122, 227 (1958); Chemical Abstracts, 53, 837 (1959). 5 6 . Balandin, A. A. and Kostin, F. L., "Kinetic Study on the Dehydro genation of Cyclohexane," Acta Physicochim. (U.S.S.R.), JL7, 211 (1942); Chemical Abstracts, 3 7 , 4615 (1943). 7. Barrer, R. M., "Molecular Sieves," Endeavor, 23 (No. 90), 122 (1964). 8 . Barrer, R. M., "Some Aspects of Molecular Sieve Science and Tech nology," 2. 1203 (1968) . 9. Barrer, R. M., "Sorption by Gmelinite and Mordenite," Transactions of the Faraday Society, 40, 555 (1944). 10. Barrer, R. M., "Synthesis and Reactions of Mordenite," Journal of the Chemical Society, Part 2, 2158 (1948). 11. Barrer, R. M., "The Sorption of Polar and Non-Polar Gases by Zeolites Proceedings of the Royal Society of London, A-167, 393 (1938) . 12. Barrer, R. ,M. and MacLeod, D. M., "Intercalation and Sorption by Montmorillonite," Transactions of the Faraday Society, 50 , 980 (1954). 46 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 4 7 13.. Barrer, R. M. and Peterson, D. L., "Intracrystalline Sorption by Synthetic Mordenites," Proceedings of the Royal Society of London, A-280, 466 (1964). 14. Barrer, R. M. and Peterson, D. L., "Kinetics of N-Paraffin Sorption in the Natural Zeolite Erionite," Journal of Physical Chemistry, 68 (No. 11), 3427 (1964). 15. Barrett, W. T., Sanchez, M. G., and Smith, J. G., "Phase Transfor mations in Silica Alumina Catalysts," Proceedings of the First International Congress of Catalysis, 551 (1956). 16. Beecher, R. G., "Hexane Isomerization," Ph.D. dissertation, Department of Chemical Engineering, Louisiana State University, 1967. 17. Beecher, R. G., Voorhies, A., Jr., and Eberly, P. E., Jr., "Hydro cracking and Diffusion of Pure Compounds on Mordenite Catalysts," Industrial and Engineering Chemistry Product Research and Development, 7_, 203 (1968). 18. Benesi, H. A., "Acidity of Catalyst Surfaces. II. Amine Titration Using Hammett Indicators," Journal of Physical Chemistry, 61, 970 (1957) . 19. Benesi, H. A., "Relationship Between Catalytic Activity and Nature of Acidity of the Crystalline Zeolites, Mordenite, and Y Faujasite," Journal of Catalysis, j5, 368 (1967). '20. Bloch, H. S., Pines, H., and Schmerling, L., "The Mechanism of Paraffin Isomerization," Journal of the American Chemical Society, 6 8 , 153 (1946). 21. Bloch, H. S. and Thomas, C. L., "Hydrocarbon Reactions in the Presence of Cracking Catalysts. III. Cyclohexene, Decalin, and Tetralin," Journal of the American Chemical Society, 6 6 , 1589 (1944). 22. Breck, D. W . , "Crystalline Molecular Sieves," Journal of Chemical Education, 41 (No. 12), 678 (1964). 23. Bridges, J. M. and Houghton, G., "The Evaluation of Activation Energies Using a Rising Temperature Flow Reactor. The Dehydro genation of Cyclohexane over WS3 , Pt/AlgOg , CrgOg/Al^Og, NiW04 / Al^Og , and Cr2 03 ," Journal of the American Chemical Society, 81, 1334 (1959). 24. Briggs, R. A. and Taylor, H. S., "The Dehydrogenation of Normal Heptane and Cyclohexane on Cerium, Vanadium, and Thorium Oxide Catalysts," Journal of the American Chemical Society, 63, 2500 (1941) . Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 4 8 25. Bryant, P. A., "Hydroisomerization of Normal Pentane over a Zeolite Catalyst," Ph.D. dissertation, Department of Chemical Engineering, , Louisiana State University, 1966. 26. Ciapetta, F. G., "Isomerization of Saturated Hydrocarbons - Cyclo- alkanes," Industrial and Engineering Chemistry, 45 (No. 1), 159 (1953). 27. Ciapetta, F. G., "Special Report - Catalytic Reforming," Petro/ Chem Engineer, 33 (No. 5), C-19 (1961). '28. Ciapetta, F. G., Dobres, R. M. and Baker, R. W.., "Catalytic Reform ing of Pure Hydrocarbons and Petroleum Naphthas," Catalysis, (>, 495, Reinhold Publishing Corp., New York, New York, 1958. 29. Ciapetta, F. G. and Hunter, J. B., "Isomerization of Saturated Hydrocarbons in the Presence of Hydrogenation - Cracking Catalysts," Industrial and Engineering Chemistry, 45 (No. 1), 147 (1953). 30. Clark, A., "Oxides of the Transition Metals as Catalysts," Industrial and Engineering Chemistry, 45 (No. 7), 1476 (1953). 31. Clark, A., Matuszak, M. P., Carter, N. C., and Cromeans, J. S., "Isomerization of N-Pentane in the Presence of Molybdena Alumina Catalyst at Low Hydrogen-Hydrocarbon Ratio," Industrial and Engineering Chemistry, 45, 803 (1953). 32. Condon, F. E., "Catalytic Isomerization of Hydrocarbons," Catalysis, <5, 43, Reinhold Publishing Corp., New York, New York, 1958. 33. Cusumano, J. A., Dembinski, G. W., and Sinfelt, J. H . , "Chemisorption and Catalytic Properties of Supported Platinum," Journal of Catalysis, 5, 471 (1966). 34. Domine, D. and Quobex, J., "Synthesis of Mordenite," Conference on Molecular Sieves, 78, Society of Chemical Industry, London, 1967 35. Eastam, A. M., "Co-Catalysis in Friedel-Crafts Reactions I. Boron Fluoride-Water," Journal of the American Chemical Society, 78, 6040 (1956). 36. Eberly, P. E., Jr., "Adsorption of Normal Paraffins in Erionite and 5A molecular Sieve," American Chemical Society Preprints, Division of Petroleum Chemistry, 13 (No. 3), 216 (1968). 37. Eberly, P. E., Jr., "Hydrocarbon Adsorption Studies at Low Pressures on the Sodium and Acid Forms of Synthetic Mordenite," Journal of Physical Chemistry, 67, 2404 (1963). 38. Emmett, P. H., Sabatier, P., and Reid, E. E., Catalysis Then and Now, Franklin Publishing Company, Englewood, N. J., 1965. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 4 9 39. Frilette, V. J. and Rubin, M. K., "Sorption and Catalytic Properties of Natural Mordenite," Journal of Catalysis, 4, 310 (1965) . 40. Frilette, V. J., Weisz, P. B., and Golden, R. L., "Catalysis by Crystaline Aluminosilicates. I. Cracking of Hydrocarbon Types over Sodium and Calcium X Zeolites," Journal of Catalysis, 1_, 301 (1962). 41. Greensfelder, B. S., Archibald, R. C., and Fuller, D. L., "Catalytic Reforming - Fundamental Hydrocarbon Reactions of Petroleum Naphthas with Molybdena-Alumina and Chromia-Alumina Catalysts," Chemical Engineering Progress, 43 (No. 10), 561 (1947). 42. Grosse, A. V., Morrell, J. C., and Mattox, W. J., "Catalytic Cyclization of Aliphatic Hydrocarbons to Aromatics," Industrial and Engineering Chemistry, 32 (No. 4), 528 (1940). 43. Haensel, V., "Catalysis in the Petroleum Industry," presented at the 31st Midyear Meeting of the American Petroleum Institute's Division of Refining, Houston, Texas, May 9, 1966. 44. Haensel, V. and Donaldson, G. R., "Platforming of Pure Hydrocarbons," Industrial and Engineering Chemistry, 43 (No. 9), 2102 (1951) . 45. Haensel, V., Donaldson, G. R., and Riedl, F. J., "Mechansims of Cyclohexane Conversion Over Platinum-Alumina Catalysts," Proceedings of the Third International Congress of Catalysis, 294 (1964). 46. Hansch, C., "The Dehydrocyclization Reaction," Chemical Reviews, 53, 353 (1953) . 47. Hatcher, W. J., Jr., "Hydrocracking of Normal Hexane and Cyclo hexane over Zeolite Catalysts," Ph.D. dissertation, Department of Chemical Engineering, Louisiana State University, 1968. 48. Heinemann, H . , Mills, G. A., Hattman, J. B., and Kirsch, F. W., "Houdriforming Reactions - Studies with Pure Hydrocarbons," Industrial and Engineering Chemistry, 45 (No. 1), 130 (1953). 49. Herbo, C., "Research on the Mechanism of Catalytic Reactions. II Kinetic Studies on the Dehydrogenation of Cyclohexane," Bulletin of the Chemical Society Belgium, 51, 44 (1942); Chemical Abstracts, 37, 5307 (1943). 50. Herington, E. F. G. and Rideal, E. K . , "The Catalytic Dehydrogena tion of Naphthenes. I. Kinetic Study," Proceedings of the Royal Society of London, A-190, 289 (1947^ . 51. Hettinger, W. P., Keith, C. D., Gring, J. L., and Teter, J. W. , "Hydroforming Reactions - Effect of Certain Catalyst Properties and Poisons," Industrial and Engineering Chemistry, 47 (No. 4), 719 (1955). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 50 52. Hindin, S. G., Weller, S. W., and Mills, G. A., "Mechanically Mixed Dual-Function Catalysts," Journal of Physical Chemistry, 62, 244 (1958) . 53. Hopper, J. R., "A Study of the Catalytic Hydroisomerization Reactions of N-Pentane and Cyclohexane over Structurally Modified Mordenites," Ph.D. dissertation, Department of Chemical Engineering, Louisiana State University, 1969. 54. Hughes, E. C. and Darling, S. M . , "Lower Paraffin Hydrocarbons, Catalytic Conversion by Boron Fluoride with Hydrogen Fluoride," Industrial and Engineering Chemistry, 43, 746 (1951) . 55. Innes, W. B., "Classification of Heterogeneous Catalytic Vapor Phase Reactions," Catalysis, ,2, 1, Reinhold Publishing Corp., New York, New York, 1955. 56. Ipatieff, V. N. and Grosse, A. V., "Polymerization of Ethylene with Aluminum Chloride," Journal of the American Chemical Society, 58, 915 (1936). 57. Isagluyants, G. V., Ryashentseva, M. A., Derbentsev, Yu. I., Minachev, Kh. M . , and Balandin, A. A., "The Role of Cyclohexane in Cyclohexane Dehydrogenation and Isomerization Under Reforming Conditions," Neftekhimiya .(U.S.S.R.), 4 (No. 2), 229 (1964); Chemical Abstracts, 61, 8103 (1964). 58. John, G. S., Den Herder, M. J., Mikovsky, R. J., and Waters, R. F., "Physicochemical Studies of Molybdena Reforming Catalysts," Proceedings of the First International Congress of Catalysis, 252 (1956). 59. Keough, A. H., "Catalytic Cracking of Hydrocarbons with Open Synthetic Mordenites," American Chemical Society Preprints, Division of Petroleum Chemistry, 8 (No. 1), 65 (1963). 60. Keough, A. H.. and Sand, L. B., "A New Intracrystalline Catalyst," Journal of the American Chemical Society, 83, 3536 (1961). 61. Keulemans, A. I. and Voge, H. H., "Reactivities of Naphthenes over a Platinum Reforming Catalyst by a Gas Chromatographic Technique," Journal of Physical Chemistry, 63, 476 (1959). 62. Kira, G. and Krieger, K. A., "Catalytic Activity of Chromia-Silica for the Dehydro-Aromatization of N-Heptane," Proceedings of the Second International Congress of Catalysis, Section I, No. 28, 1 (1960). 63. Komarewsky, V. I. and Shand, W. C., "Catalytic Aromatization of Branched Chain Aliphatic Hydrocarbons," Journal of the American Chemical Society, 6 6 , 1118 (1944). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 51 64. Krane, H. G., Groh, A. B., Schulman, B. L., and Slnfelt, J. H . , Reactions in Catalytic Reforming of Naphthas," Proceedings Fifth World Petroleum Congress, Section III, 39 (1959). 65. Lawrence, P. A. and Rawlings, A. A., "Advances in Isomerization," Proceedings Seventh World Petroleum Congress, 4, 135 (1967). 6 6 . Lazier, W. A. and Vaughen, J. V., "Non-Metallic Catalysts for Hydrogenation and Dehydrogenation. II. The Catalytic Properties of Chromium Oxide," Journal of the American Chemical Society, 54, 3080 (1932). 67. Leighton, P. A. and Heldman, J. D., "The Catalytic Isomerization of Paraffin Hydrocarbons. I. Butanes," Journal of the American Chemical Society, 65, 2276 (1943). 6 8 . Lien, A. P., D'Ouville, E. L., Evering, B. L., and Grubb, H. M., "Rate of Isomerization of Cyclohexane," Industrial and Engineer ing Chemistry, 44 (No. 1) , 351 (1952). 69. Liengme, B. V. and Hall, W. K., "Studies of Hydrogen Held by Solids," Transactions of the Faraday Society, 62, 3229 (1966). 70. Lyster, W. N., "Kinetics of Chemical Reactions - Dehydrocyclization of N-Heptane," Ph.D. dissertation, Department of Chemical Engineering, University of Houston, 1964. 71. Maat, H. J. and Moscou, L., "A Study of the Influence of Platinum Crystallite Size on the Selectivity of Platinum Reforming Catalysts," Proceedings of the Third International Congress of Catalysis, Section II. 5, 1277 (1964). 72. Maslyanskii, G. N., "Kinetics of Isomerization of Cyclohexane at High Pressures," Journal of General Chemistry (U.S.S.R.), 13, 540 (1943); Chemical Abstracts, 39, 454 (1945). 73. McBain, J. N., The Sorption of Gases and Vapors by Solids, Rutledge and Sons, Ltd., London, 1932. 74. McHenry, K. W., Bertolacini, R. J., Brennan, H. M . , Wilson, J. L., and Seelig, H. S., "The Nature of the Platinum Dehydrocyclization Catalysts," Proceedings of the Second International Congress of Catalysis, Section II, No 117, 1 (1960). 75. Meier, W. M., "The Crystal Structure of Mordenite (Ptilolite)," Zeitschrift fur Kristallographie, 115, 439 (1961). 76. Meier, W. M., "Zeolite Structures," Conference on Molecular Sieves,' 10, Society of Chemical Industry, London, 1967. 77. Meisel, S. L., Koft, E., Jr., and Ciapetta, F. G., "Effect of Nitrogen Compounds on Platinum Acidic Oxide Catalysts," American Chemical Society Preprints, Division of Petroleum Chemistry, (No. 4), A-45 (1957). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 52 78. Miale, J. N., Chen, N. Y., and Weisz, P. B., "Catalysis by Crystalline Aluminosilicates IV. Attainable Catalytic Cracking Rate Constants, and Superactivity," Journal of Catalysis, 6 , 278 (1966). 79. Miller, R., "Molecular Sieve Catalysts," Chemical Week, 95 (No. 20), 77 (1964). 80. Mills, G. A., Heinemann, H., Milliken, T. H., and Oblad, A. G., "Houdriforming Reactions - Catalytic Mechanism," Industrial Engineering Chemistry, 45 (No. 1), 134 (1953). 81. Mills, G. A., Weller, S., and Cornelius, E. B., "The State of Platinum in a Reforming Catalyst," Proceedings of the Second International Congress of Catalysis, Section II, No. 113, 1 (1960). 82. Minachev, Kh. M. and Isagulyants, G. V . , "Investigation of Catalyst Poisoning and Hydrocarbon Conversion Mechanism in Reforming Process," Proceedings of the Third International Congress of Catalysis, 309 (1964). 83. Minachev, Kh. M . , Shuikin, N. I., and Rozhdestrenskaya, I. D., "Hydro- and Dehydrogenation of Hydrocarbons in the Presence of Ruthenium and Rhodium Catalysts with a Low Content of the Metal," Izvest. Akad. Nauk (U.S.S.R.), 338 (1954); Chemical Abstracts, 48, 10259 (1954). 84. Moldavskii, B. L., Kamusher, G. D., and Livshits, S. E., "Catalytic Dehydrogenation of Hydrocarbons. I Dehydrogenation of Cyclohexane in the Presence of Sulfide and Oxide Catalysts," Journal of General Chemistry (U.S.S.R.), 7, 131 (1937); Chemical Abstracts, 31, 4282 (1937). 85. Nehring, D. and Dreyer, H . , "Influence of Various Catalyst Supports on the Catalytic Properties of Pt," Chemical Technology, (Berlin), 12, 343 (1960); Chemical Abstracts, 5 5 , 3159 (1961). 8 6 . Norton, C. J., "Olefin Polymerization over Synthetic Molecular Sieves," Industrial and Engineering Chemistry Process Development, 3 (No. 3), 230 (1964). 87. Oblad, A. G., Milliken, T. H., and Mills, G. A., "Chemical Charac teristics and Structure of Cracking Catalysts," Advances in Catalysis, 3_, 199, Academic Press, New York, New York, 1951. 8 8 . Oblad, A. G., Shalit, H., and Tadd, H. T., "Catalytic Technology in the Petroleum Industry," Proceedings of the First International Congress of Catalysis, 510 (1956). 89. Pauling), L., "The Structure of Some Sodium and Calcium Aluminosili cates]," Proceedings of the National Academy of Science (U.S.), 16, 453 (1930). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 53 90. Pickert, P. E., Bolton, A. P., and Lanewala, M. A., "Molecular Sieve Zeolites: Trendsetters in Heterogeneous Catalysis," Chemical Engineering, 75 (No. 16), 133 (1968). 91. Pines, H., Abraham, B. M . , and Ipatieff, V. N., "Isomerization of Saturated Hydrocarbons. V. The Effect of Cyclohexene Upon the Isomerization of Methylcyclopentane and Cyclohexane," Journal of the American Chemical Society, 70, 1742 (1948). 92. Pines, H., Aristoff, E., and Ipatieff, V. N., "Isomerization of Saturated Hydrocarbons. VII. The Effect of Light Upon the Isomerization of Methylcyclopentane in the Presence of Aluminum Bromide-Hydrogen Bromide," Journal of the American Chemical Society, 72, 4055 (1950). 93. Pines, H., Aristoff, E., and Ipatieff, V. N . , "Isomerization of Saturated Hydrocarbons. VIII. The Effect of Oxygen and Light Upon the Isomerization of Methylcyclopentane in the Presence of Aluminum Bromide," Journal of the American Chemical Society, 72, 4304 (1950). 94. Pines, H., Aristoff, E., and Ipatieff, V. N., "Isomerization of Saturated Hydrocarbons. XII. The Effect of Experimental Variables, Alkyl Bromides and Light Upon the Isomerization of Methylcyclopentane in the Presence of Aluminum Bromide," Journal of the American Chemical Society, 75, 4775 (1953). 95. Pines, H. and Chen, C. T., "Alumina: Catalyst and Support. VII. Aromatization of N-Octane-l-C14 and Cyclo-Octane over Chromia- Alumina Catalysts," Proceedings of the Second International Congress of Catalysis, 11 (I960). 96. Pines, H. and Csicsery, S. M., "Alumina: Catalyst and Support. XVI. Aromatization and Dehydroisomerization of Branched C6 -C8 Hydro carbons over Nonacidic Chromia-Alumina Catalyst," Journal of Catalysis, 1, 313 (1962). 97i Pines, H. and Haag, W. 0., "Alumina: Catalyst and Support. I. Alumina, Its Intrinsic Acidity and Catalytic Activity," Journal of the American Chemical Society, 82, 2471 (1960). 98. Pines, H. and Shaw, A. W., "Isomerization of Saturated Hydro carbons. XV. The Hydro-isomerization of Ethyl-a-C1 4 -Cyclo hexane," Journal of the American Chemical Society, 79, 1474 (1957). 99. Plank, C. J . , Rosinski, E. J., and Hawthorne, U. P., "Acidic Crystalline Aluminosilicates," Industrial and Engineering Chemistry Product Research and Development, 3^ (No. 3), 165 (1964). 100. Plate, A. F., "Mechanism of Catalytic Transformations of Hydro carbons on a Vanadium Catalyst. V. Simultaneous Hydrogenation and Dehydrogenation of Cyclic Olefins," Journal of General Chemistry (U.S.S.R.), 15, 156 (1945); Chemical Abstracts, 40, 3409 (1946). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 54 101. Prokopetz, E. I. and Filaratov, A. N., "Isomerization of Cyclohexane and Methylcyclopentane in High-Temperature Hydrogenation," Journal of Applied Chemistry (U.S.S.R.), JL1, 1631 (1938); Chemical Abstracts, 33, 5817 (1939). 102. Puchkov, P. V. and Nikolaeva, A. F., "Transformation of Cyclohexane under Hydrogen Pressure," Journal of General Chemistry (U.S.S.R.), 8 , 1153 (1938); Chemical Abstracts, 33, 3766 (1939). 103. Rabo, J. A., Pickert, P. E., Stamires, D. N., and Boyle, J. E., "Molecular Sieve Catalysts in Hydrocarbon Reactions," Proceedings of the Second International Congress of Catalysis, Section II, No. 104, 1 (1960). 104. Rabo, J. A., Schomaker, V., and Pickert, P. E., "Sulfur Resistant Isomerization Catalyst: Study of Atomic Platinum Dispersions on a Zeolite Support," Proceedings of the Third International Congress of Catalysis, 1264 (1964) . 105. Rengarten, N. V., "A Zeolite from the Mordenite Group in the Upper Cretaceous and Paleogene Marine Deposits of the Eastern Slope of the Urals," Compt. Rend. Acad. Sci. (U.S.S.R.), 48, 591 (1945); Chemical Abstracts, 40, 4625 (1946) . 106. Ritchie, A. W. and Nixon, A. C., "Dehydrogenation of Monocyclic Naphthenes over a Platinum on Alumina Catalyst without Added Hydrogen," American Chemical Society Preprints, Division of Petroleum Chemistry, 11 (No. 3), 93 (1966). 107. Rossini, F. D. and Mair, B. J., Hydrocarbons from Petroleum, Reinhold Publishing Corp., New York, New York, 1953. 108. Ryland, L. B. Tamele, M. W., and Wilson, J. N., "Cracking Catalysts," Catalysis, 7, 1, Reinhold Publishing Corp., New York, New York, 1960. 109. Satterfield, C. N. and Frabetti, A. J., Jr., "Sorption and Diffusion of Gaseous Hydrocarbons in Synthetic Mordenite," American Institute of Chemical Engineering Journal, 13 (No. 4), 731 (1967) . 110. Satterfield, C. N., and Sherwood, T. K., The Role of Diffusion in Catalysis, Addison - Wesley Publishing Co., Inc., Reading, Mass., 1963. 111. Shalit, H. and Conner, J. E., Jr., "New Developments in Catalysis," Chemical Engineering, 72 (No. 7), 73 (1965). 112. Shuikin, N. I., "The Contact-Catalytic Isomerization of Six-Membered into Five-Membered Rings, "Bulletin of the Academy of Science (U.S.S.R.), 440 (1944); Chemical Abstracts, 3 9 , 4319 (1945). 113. Sinfelt, J. H., "Bifunctional Catalysis," Advances in Chemical Engineering, 5, 37, Academic Press, New York, New York, 1964. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 55 114. Spenadel, L. and Boudart, M., "Dispersion of Platinum on Supported Catalysts," American Chemical Society Preprints, Division of Petroleum Chemistry, 4 (No. 2-C), C-5 (1959) . 115. Steiner, H., "The Catalytic Dehydrocyclization of Paraffins," "Journal of the American Chemical Society, 67, 2052 (1945). 116. Stevenson, D. P. and Beeck, 0., "The Isomerization of Cyclohexane and Methylcyclopentane in the Presence of Aluminum Halides. I. The Nature of the Catalyst," Journal of the American Chemical Society, 70, 2890 (1948). 117. Stevenson, D. P. and Morgan, J. H., "The Isomerization of Cyclo hexane and Methylcyclopentane in the Presence of Aluminum Halides. II. Equilibrium and Side Reactions," Journal of the American Chemical Society, 70, 2773 (1948). 118. Stormont, D. H., "Modernization - Refinings Record for 1968," Oil and Gas Journal, 67 (No. 12), 108 (1969). 119. Stumpf, H. C., Russell, A. S., Newsome, J. W., and Tucker, C. M., "Thermal Transformations of Aluminas and Alumina Hydrates," Industrial and Engineering Chemistry, 42 (No. 7), 1398 (1950). • 120. Tamele, M. W., "Chemistry of the Surface and the Activity of Alumina-Silica Cracking Catalyst," Discussions of the Faraday Society, {J, 270 (1950) . 121. Turkevich, J., "Zeolites as Catalysts," Catalysis Reviews, JL, 1, Marcel Dekker, Inc., New York, New York, 1968. 122. Tutumi, S., "Differences Among the Catalytic Actions of Cobalt, Palladium, and Platinum," Science Papers Institute Physics Chemical Research (Tokyo) , 3jj, 352 (1939) ; Chemical Abstracts, 33, 9104 (1939). 123. Uytterhoeven, J. B., Christner, L. G., and Hall, W. K., "Studies of Hydrogen Held by Solids. VIII. The Decationated Zeolite," Journal of Physical Chemistry, 69 (No. 6), 2117 (1965). 124. Varga, J., Rabo, G., and Zalai, A., "Comparative Study of the Promoters for Dehydrogenation Catalysts," Acta Chim. Hung., 1_, 137 (1951); Chemical Abstracts, 45, 10022 (1951). 125. Venuto, P. B., Givens, E. N., Hamilton, L. A., and Landis, P. S., "Organic Reactions Catalyzed by Crystalline Aluminosilicates. Dehydrohalogenation and Related Reactions," American Chemical Society, Division of Petroleum Chemistry, 11 (No. 3), 73 (1966). 126. Venuto, P. B., Hamilton, L. A., Landis, P. S., and Wise, J. J., "Alkylation Reactions Catalyzed by Crystalline Alumino-silicates," American Chemical Society, Division of Petroleum Chemistry, 10 (No. 4), B-71 (1965). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 56 127. Venuto, P. B. and Landis, P. S., "Organic Catalysis over Crystalline Aluminosilicates," Advances in Catalysis, 18, 259, Academic Press, New York, New York, 1968. 128. Voge, H. H., "Catalytic Cracking," Catalysis, (5, 407, Reinhold Publishing Corp., New York, New York, 1958. 129. Weisz, P. B. and Miale, J. N., "Superactive Crystalline Alumino- silicate Hydrocarbon Catalysts," Journal of Catalysis, 4, 527 (1965) . 130. Weisz, P. B. and Prater, C. D., "Basic Activity Properties for Pt-Type Reforming Catalysts," Proceedings of the First Inter national Congress of Catalysis, 575 (1956) . 131. Weisz, P. B. and Prater, C. D . , "Interpretation of Measurements in Experimental Catalysis," Advances in Catalysis, 6_, 143, Academic Press, Inc., New York, New York, 1954. 132. Weisz, P. B. and Swegler, E. W., "Stepwise Reactions on Separate Catalytic Centers: Isomerization of Saturated Hydrocarbons," Science, 126, 31 (1957). 133. Wheeler, A., "Reaction Rates and Selectivity in Catalyst Pores," Advances in Catalysis, 3^ 249, Academic Press, Inc., New York, New York, 1951. 134. Zelinskii, N. D. and Balandin, A. A., "Kinetics of Dehydrogenation Catalysis," Bulletin of the Academy of Science (U.S.S.R.), 29 (1929); Chemical Abstracts, 2 4 , 774 (1930). Patents 135. British Patent 992,872. 136. British Patent 1,051,890. 137. British Patent 1,074,496. 138. French Patent 1,369, 377. 139. South African Patent 67 06,642. 140. U. S. Patent 1,215,391. 141. U. S. Patent 2,479,109. 142. U. S. Patent 2,479,110. 143. U. S. Patent 2,651,598. 144. U. S. Patent 2,689,208. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 145. U. S. Patent 2,818,394 146. U. S. Patent 3,173,855 147. U. S. Patent 3,247,099 148. U. S. Patent 3,376,214 149. U. S. Patent 3,376,215 150. U. S. Patent 3,409,685 151. U. S. Patent 3,410,789 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER III EXPERIMENTAL EQUIPMENT AND PROCEDURE A. General The experimental equipment used in this research is located in the Petroleum Processing Laboratory of the Chemical Engineering Department at Louisiana State University. The project is supported by Esso Research and Engineering Company and all of the equipment was fabricated by or purchased through Esso Research Laboratories, Baton Rouge, Louisiana. The equipment was planned and designed by P. A. Bryant, an original member of the project. Modifications were carried out by another member of the project, W. J. Hatcher, Jr., and the author. B . Experimental Equipment 1. Reaction System The reaction system used in this research consists of a liquid feed system, a gas feed system, a reactor, and a product recovery sys tem. The reaction system with the exception of the liquid feed pump and the gas cylinders is located within a walk-in hood. This hood is provided with a 3000 ft.3 /min. exhaust fan and sliding glass safety panels. The liquid feed pump is located adjacent to the hood and the gas cylinders are located outside the building. The equipment housed within the walk-in hood is supported on a steel frame, three feet wide, three feet deep, and six feet high. A simplified flow diagram of the reaction system is shown in Figure 5. 58 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 59 Ruska Pump Back Pressure Liquid Feed Regulator Temperature Control^— 1 1 Controller Valve r ^ \ Needle Valve Pressure Gauge DP Cell Flow Controller Regulator Reactor Wet Test Meter {X]— Fluidized Bath I Bath Heating'' Elements Driers Back-Pressure Regulator Gas Sampling Point Regulators Liquid Ice Condenser Bath Water Saturator Hydrogen Nitrogen Cylinder Cylinder Liquid Sampling Point Figure 5. Simplified Flow Diagram of the Reaction System. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. a. Liquid Feed System The liquid feed is metered to the reaction system by a high pressure, positive displacement pump manufactured by the Ruska Instrument Corporation, Houston, Texas. The pump acts on the principle of a syringe with the piston being driven by a synchronous electric motor. Feed rates are adjusted by changing gear arrangements to give rates of 2 to 240 cnf3 /hr. The precision of the Ruska pump is 0.15 cnP/hr and its capacity is 250 cut3. The pump is charged by a 250 cirt3 burette. b. Gas Feed System The bottled gases used in this study were hydrogen and nitrogen. Hydrogen was used as a feed diluent while nitrogen was used as a reactor and liquid feed system purge. Both gases are independently routed from the high pressure cylinders through regulators and molecular sieve driers to a manifold in the reaction system. The gas being used flows from the manifold through another regulator and then through a flow control system. The primary gas flow control system consists of a Foxboro orifice differential pressure cell, Foxboro flow controller and a Research Control % inch control valve joined together in a simple feed back control network. The orifice and valve trim were sized to give flow rates from 2 to 20 ft3 /hr. A % inch micrometer needle valve for manual flow control is in parallel with the control valve as a back-up in case of failure in the automatic system. After passing through the flow control system the gas passes through a Grove back pressure regulator. The regulator is used to provide a constant pressure drop across the gas flow control system Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 61 regardless of reactor pressure. The gas then goes by a pressure gauge for measuring reactor pressure to a tee where mixture with the liquid occurs. This mixture then flows into the reactor, c. Reactor A cross-sectional view of the reactor in the fluidized heating bath is shown in Figure 6 . The reactor is constructed of % inch schedule 80 Inconel pipe. While designed to hold a maximum of 30- 40 cnt3 of catalyst, 15 cnt3 was the standard volume used in all of these experiments. This corresponded to a cylindrical catalyst bed % inch in diameter by 4 inches in length. A flange opening is provided in the reactor for introducing and removing the catalyst. A hollow steel 0-ring forms a pressure tight seal in the V-groove seat of the flange when the temperature compensating coupling is attached. The complete flange assembly is manufactured by the D. S. D. Company of East Granby, Connecticut. The catalyst is positioned in the reactor between two micrometallic porous frits. These frits prevent catalyst particles from leaving the reactor. The temperature in the catalyst bed is measured by a 1/16 diameter, metallic sheathed, iron-constantan thermocouple which is positioned midway with respect to the length and diameter of the catalyst bed. The thermocouple enters the reactor through a \ inch Conax fitting. Temperature readings of the catalyst bed and fluidized heating bath were taken on a Leeds and Northrup Speedomax-H temperature indicator. This temperature indicator was calibrated by an external potentionmeter and was found to be accurate within one degree Fahrenheit. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 62 Bath Thermocouple Line Product LineFeed Porous Sheathed Exit _ Frit Thermocouple for v Fluidizing Air Thermocouple Well for Bath Temperature Control Sand Bath Reactor Catalyst Glass Wool Temperature Compensated Coupling Inlet for Fluidizing Air Air Distributor Figure 6. Cross Sectional View of Reactor in Fluidized Heating Bath. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 63 The feed mixture of gas and liquid is heated to reaction conditions before entering the reactor by coiling the feed line several turns around the reactor before connecting to the reactor. The feed mixture then passes downflow through the catalyst bed and out the product line. d. Temperature and Pressure Control The fluidized heating bath as shown in Figure 6 is designed for isothermal control of the reactor temperature. This is accomplished by using a fluidized bed to transfer heat to the reactor. This bed consists of spent silica-alumina cracking catalyst fluidized by a continuous stream of air. The fluidized bed is approximately 6 inches in diameter and 25 inches high. Air enters the bed through a distributor and a micro-metallic porous frit. Entrained material from the fluidized bed is retained by a circular micrometallic porous frit at the top of the bed. The fluidized bed is heated by six 500 watt strip heater elements. Two inches of insulation cover the heating elements. Control of the fluidized bath temperature is achieved by a simple feedback control network. The bath temperature is sensed by an iron-constantan thermocouple inserted in a well adjacent to the reactor. This temperature signal goes to a Leeds and Northrup Electro max C. A. T. (current-adjusting-type) solid state temperature controller. This controller, which is equipped with proportional and reset control action generates a direct current control signal after comparison of the sensed bath temperature and controller setpoint. This direct current control signal is sent to a Phaser power controller manufactured by R-I Controls of Minneapolis, Minnesota. The output of the Phaser is an a-c Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 64 voltage to the strip heater, the RMS value of which is varied between zero and maximum line value in direct proportion to the magnitude of the direct current control signal. The reactor pressure is controlled by a Grove back pressure regulator placed at the reactor outlet. Reactor pressure drop at the maximum gas rate (20 ft3 /hr) was about 5 psi. e. Product Recovery System The reactor effluent, after leaving the back pressure regulator, passes through an ice-water bath condenser. Those components not condensed pass through a water saturator and a wet-test meter for measurement. The condensed liquid product is drawn through a valve on the bottom of the condenser. Due to the large amount of diluent hydro gen and volatility of the feed and products, liquid product recovery was not required for most of the experiments in this study. 2. Analytical System Product analyses were made with an F & M Model 810R dual column gas chromatograph. A ten-foot column of 10% silicone rubber (SE-30) on 90% white chromosorb (80-100 mesh) was used for separation of the hydrocarbon components. Integration of the peak areas was per formed by an Infotronics Model CRS-110 Digital Integrator and a disk integrator. A detailed discussion of this system is given in Appendix D. C. Materials 1. Gases High pressure cylinders of electrolytic hydrogen (99.95%) and prepurified nitrogen (99.99%) were used. Both gases passed through a bed of platinum on alumina particles, a bed of Linde 3A molecular sieve Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 65 and a bed of indicating Drierite. The platinum on alumina is used to combine with any traces of oxygen which might be present and the Drierite is used to remove any water present. 2. Liquids All liquid feeds were Phillips pure grade (99 mole %). These feeds were stored over Linde 13x molecular sieve to remove any traces of water which might be present. 3. Catalysts Pt-AlgOg -mordenite and Pt-Al2 03 catalysts were used in this research. These catalysts were prepared at the Esso Research Labora tories in Baton Rouge, Louisiana. The exact preparation steps are given in Chapter IV. D. Experimental Procedure 1. Catalyst Activation Solid catalysts are normally activated by heating. This heat ing drives off any physically sorbed water and any ammonia which may be present in the mordenite. This ammonia which is present in the morden ite catalyst is a result of the sodium exchange step in the preparation and is discussed in detail in Chapter IV. The catalyst activation procedure is as follows: a. Catalyst samples of approximately 15 cut3 are put in Vycor glass "boats" and placed in a Pyrex cylinder inside a tube furnace. b. A continuous stream of purified air is passed over the catalysts during activation. This air is purified by removing any traces of hydrocarbons or water which might be present. The trace hydrocarbons are removed by passing the air stream through a tube in a muffle furnace which contains a copper oxide catalyst at IOOQPf . This Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 66 converts the trace hydrocarbons to carbon dioxide and water. The effluent air from the hydrocarbon removal step is then passed through beds of indicating Drierite and Linde 13x molecular sieve. This step removes any water produced by the hydrocarbon removal step plus any water initially present. c. The temperature of the furnace containing the catalyst samples is increased to 350PF at a rate of approximately lOO^F/hour. This temperature is maintained for about 16 hours. This low temperature is used to prevent rupture of the catalyst crystal structure when the bulk of the water is driven off. d. The furnace temperature is increased at a rate of 10CPF/ hour to the final activation temperature. e. The final activation temperature of IOOCPf is maintained for three hours. f. The furnace temperature is then reduced to a temperature of about 450PF at a rate of 20CPF/hour. g. The catalyst, samples are removed from the furnace and transferred to stoppered glass vials. h. The stoppered glass vials are cooled to room temperature, weighed to the nearest milligram, and stored in a dessicator filled with indicating Drierite. 2. Hydrocarbon Reaction Material Balance The procedure for making an experimental run is as follows: a. After cleaning the catalyst space in the reactor, the reactor is inverted and the catalyst sample is transferred to the reactor from the stoppered glass vial. A one inch plug of glass wool is inserted behind the catalyst to act as a support. The reactor is Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 67 then sealed with the temperature compensating coupling using a new 0 -ring. b. The reactor is purged of air using prepurified nitrogen and pressure tested with hydrogen at 500 psig and room temperature. c. The reactor is then placed in the fluidized heat bath, connected to the reaction system and again purged with nitrogen. d. Hydrogen flow over the catalyst is started and maintained until the catalyst has been at 600-700°F for about one hour. This procedure is used to reduce the platinum to the metallic form. e. The reactor is again pressure-trested at 500 psig and system temperature. f. The system pressure and temperature are set on the back pressure regulator and the temperature controller. g. The approximate hydrogen flow rate is set by adjustment of the flow controller. The exact gas rate is measured by timing the wet-test meter through several revolutions. h. The Ruska pump is charged with liquid hydrocarbon and the rate is set by selecting the proper gear arrangement. i. The experiment is started by opening the pump outlet valve, turning the pump on and starting a timer. j. During the initial line-out period of about 90 minutes, . small adjustments are made in the set point of the temperature control ler to bring the reactor temperature to the desired value. k. When the reactor temperature is at steady state, gas samples are taken at intervals of approximately 15 minutes. 1. When the gas composition reaches steady state, a material balance is taken. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. m. A material balance consists of a timed period (usually 30 minutes) during which the gas and liquid rates are measured and products analyzed. n. At the completion of a material balance, the system is changed to the conditions for the next balance or the gas and liquid flows are discontinued, the system depressured, and the reactor removed. 3. Material Balance Calculations The product composition, reactor temperature and pressure, inlet and outlet flow rates, and weight of catalyst charged were used to calculate the results from a material balance run. All of these calculations were made by the computer program listed in Appendix E. Sample calculations for a typical material balance are described in Appendix C. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER IV CATALYST PREPARATION AND ANALYSES A. Introduction The majority of current commercial catalytic reforming processes use bifunctional platinum-alumina-halogen catalysts. The use of a crystalline zeolite as the isomerization promoting component of a platinum-alumina reforming catalyst presents interesting possibilities but has received little attention in the open literature. Apart from possible benefits gained in activity and thermal stability, zeolite promoted reforming catalysts would not require the presence of a halogen. The absence of a halogen is an important advantage over prior-art catalysts since corrosion and halogen level maintenance problems are avoided. (2) A recent U.S. patent issued to the Standard Oil Company of Indiana claims an improved naphtha reforming process by contacting a combined-nitrogen-containing naphtha with a halogen-free platinum-alumina- H-mordenite catalyst. Experimental results shown in the patent example indicate that this catalyst is highly active and selective for naphtha reforming if a small amount of combined nitrogen is added to the feed. These results are contrary to teachings of the prior-art since nitrogen usually acts as a poison to platinum reforming catalysts.^ Although the function of the nitrogen is not stated in the patent, it presumably acts to suppress hydrocracking. No claims or statements are made about the isomerization-promoting abilities of the synthetic mordenite component. 69 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 70 The primary objectives of this research are to study and model the dehydrogenation and isomerization properties of a platinum-alumina- zeolite catalyst. The halogen-free platinum-alumina-mordenite described (2) in the Indiana patent ' fits the catalyst requirements for this work and was the primary catalyst type selected and prepared for this investigation. In addition, a halogen free platinum-alumina was also prepared. This chapter discusses the preparation and pertinent analyses of these two catalysts. B. Catalyst Preparation The intended compositions of the two catalysts selected for this investigation were: a. 0.6% Pt on halogen-free 95% Als 03 -5% hydrogen mordenite b. 0.6% Pt on halogen-free ALjOa The concentrations of platinum, alumina, and mordenite in these catalysts were selected to give values that fell approximately midway in the compo- (2) sition ranges claimed by the Standard Oil Company of Indiana patent. These catalysts were prepared at the Esso Research Laboratories, Baton Rouge, Louisiana. A description of these preparations is given in the following discussion. The alumina-base used in the preparation of the halogen-free plati- num-alumina-mordenite catalyst was a commercially available y-alumina made in the form of extruded particles by the American Cyanamid Company. Before starting the catalyst preparation, the water content of the alumina extrudate was estimated by the weight loss of a small portion during calcination. An estimation of the water content is necessary so that the final composition of the catalysts will be correct on a dry Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 71 basis since the uncalcined alumina is used in the catalyst preparation. The uncalcined alumina extrudate was ground to a particle size smaller than 0.35 mm and suspended in an aqueous solution of acetic acid. The resulting solution was heated overnight, and the aluminum monoacetate sol was formed by esterification of the alumina. Norton synthetic hydrogen-mordenite in the form of 1-5 micron crystallites was slurried with water to form a paste and added to the alumina sol. Simultaneously, an aqueous solution of platinum-diamino-dinitrite [PtCNl^ )3 (N08 );j ] was stoichiometrically added to the alumina sol with the mordenite paste and total solution well mixed. The resulting platinum-alumina-H-mordenite gel was washed with water to remove unabsorbed reactants and then dried to form a hard glasslike material. This dried gel was crushed and sized to form the final catalyst ready for activation. The preparation of the halogen-free platinum-alumina catalyst is similar to that of the platinum-alumina-mordenite catalyst except for non-inclusion of the hydrogen mordenite component. Uncalcined Cyanamid y-A^Oa was converted to the sol by addition of aqueous acetic acid and heating. Platinum was incorporated by stoichiometric addition of platinum-diamino-dinitrite to the alumina sol with subsequent gelation using excess ammonium hydroxide. The catalyst preparation was completed by washing, drying, and sizing the platinum-alumina gel. C . Analytical Measurements Several analytical measurements were made on the finished platinum- alumina-mordenite and platinum-alumina catalysts. Where pertinent, analytical measurements for platinum, sodium, alumina, silica, surface area, and ammonia adsorption were performed on these two catalysts. In addition, certain analyses were also performed on the pure hydrogen Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 72 mordenite and fused silica-alumina used as a catalyst diluent. These measurements were performed at the Esso Research Laboratories in Baton Rouge, Louisiana. A brief description of the analytical method used for each test is given in Table 4. The values of the catalyst analytical measurements for the calcined catalysts are shown in Table 5. The platinum concentrations of the Pt-ALgOg-mordenite and Pt-AlgOg were 0.15 and 0.18 wt. %. These platinum concentrations are less than the intended value of 0.6 wt. % and indicate that either the Pt(NI^)2 (N02)s was not completely absorbed by the alumina sol or that the water content of the uncalcined alumina was underesti mated. These platinum concentrations are sufficient, however, since the (2) "Indiana" Patent claims that concentrations as low as 0.01 wt. % are effective. The intended concentration of mordenite in the Pt-ALgOg- mordenite catalyst was 5 wt. 7®. The actual mordenite concentration can be approximately computed by using the silica concentration in the pure mordenite and finished Pt-ALg03 -mordenite. The actual concentration of mordenite in the Pt-ALg03 -mordenite was computed to be 3.1 wt. %. As with the platinum, the low mordenite concentration in the calcined catalyst probably indicates that water content of the alumina used in the preparation was underestimated. Since the patent claims mordenite concentrations as low as 0 .1% are effective, this mordenite concentra tion was deemed sufficient. The Langmuir surface area of the Pt-AlgOg- mordenite was 489 n?/gm while that of the Pt-ALgOg was 353 n?/gm. Although H-mordenite has a higher surface area than ordinary alumina gel, the quantity of H-mordenite is so small (~3%) that the observed increase in surface area must be due to other factors, e.g., in the peptization of Cyanamid y-ALgOg with acetic acid. The Langmuir surface area' of the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 73 Table 4. Description of Catalyst Analytical Tests. Quantity Measured Description of Analytical Test Platinum Content Platinum extracted with perchloric acid to form chloroplatinic acid which is reduced to chloroplatinous acid with stannous chloride. Extraction with amyl acetate followed by colorimetric analysis. Sodium Content Acid extraction of sodium followed by flame photometry. Silica Content Acid extraction followed by reaction with hydrofluoric acid. Silica is determined from the evolution of hydrofluosilicic acid. Alumina Content Acid extraction followed by a titrimetric determination with potassium fluoride. Surface Area Adsorption of nitrogen at liquid nitrogen temperatures. Surface area computed via Langmuir adsorption isotherm. Ammonia Adsorption Sample is evacuated and allowed to reach a constant level of nitrogen adsorption at 200PF. Sample is heated to IOOCPf under an ammonia atmosphere and allowed to equilibrate. Ammonia is removed and samples are cooled to 200PF under flowing nitrogen and allowed to equili brate. Chemisorbed ammonia is the loss or gain of weight at 20CPF. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 74 Table 5. Catalyst Analytical Measurements. Sample Description Pt-ALjOg - Fused Analytical Test H-Mord. Pt-AL,0, H-Mordenite SiOo -AL,0q Pt, wt. % 0.15 0.18 Na, wt. % 0.55 0.43 0.68 AlgOg , w t . % 94.0 95.6 11.9 64.7 Si02 , wt. % 2.7 86.5 34.9 Surface Area, n?/gm 489 353 0 NRj Chemisorption, 0.0063 0.0046 gm NHj/gm catalyst Samples were submitted for analysis after calcining. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 75 fused SiOg-ALgOs was so low that no measurable area could be detected. This material is used as a catalyst diluent in this investigation and was found to have no catalytic activity. The capabilities of the Pt-A^Og-mordenite and Pt-AlgOg catalysts to chemisorb ammonia were measured by the procedure outlined in Table 4. This ability to chemisorb ammonia should be a measure of the acidity of the catalyst surface or its ability to promote isomerization reactions. The measured chemisorption value for the Pt-AlgOg catalyst was 0.0046 gm NHj /gm catalyst while that for the Pt-AlgOg-mordenite was 0.0063 gm NHj/gm catalyst. The lower ammonia chemisorption value obtained for the Pt-AlgOg catalyst indicates that the halogen-free alumina is weakly acidic. The 38% increase in ammonia chemisorption capacity by the Pt-AlgOg -mordenite catalyst reflects the presence of the 3.1 wt. % mordenite. By using the actual mordenite concentration in the Pt-A^Og-mordenite and the chemisorption capacities of the two catalysts, the mordenite was computed to be approximately twelve times more acidic than the halogen-free alumina. This indicates that the Pt- AlgOg-mordenite catalyst should have a much greater isomerization promoting ability and this is confirmed by experimental results discussed in Chapter VI. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. L IS T OF REFERENCES - CHAPTER IV 1. Ciapetta, F. G., Dobres, R. M . , and Baker, R. W . , "Catalytic Reforming of Pure Hydrocarbons and Petroleum Naphthas," Catalysis, 6_, 495, Reinhold Publishing Corp., New York, New York, 1958. 2. U. S. Patent 3,376,214. 76 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER V A KINETIC MODEL FOR THE SIMULTANEOUS DEHYDROGENATION AND ISOMERIZATION OF CYCLOHEXANE A. Introduction The quantitative study of heterogeneous catalysis usually involves at some point, a development of a mathematical model that represents the reaction rate data. This model can be empirical or purport to represent the actual reaction mechanism. Powerful arguments for and / 1g\ against each philosophy have been discussed by Levenspiel. . Purely empirical approaches are usually used where design is the main consider ation and extrapolation over wide ranges of conditions is not required. The mechanistic approach, however, is the only alternative when a better understanding of how catalysts promote specific reactions is required. One of the objectives of this investigation is to mathematically model the solid catalyzed simultaneous dehydrogenation and isomerization of cyclohexane in an integral reactor using a simplified reaction mechanism. The 77 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 78 development of the mathematical model for this system is discussed in. this chapter. A large proportion of catalytically promoted reactions reported in the literature are of the single reaction unimolecular type. In an integral reactor the forward rate constant for a unimolecular reaction can be expressed as an explicit function of all the other variables. The determination of the rate constants from the composition data for complex reaction systems however, is not a trivial problem. Complex reactions carried out in integral reactors usually require the solution of simultaneous differential equations either analytically or numeri cally with subsequent application of iterative techniques to determine the rate constants. Exact integration of the simultaneous differential equations for the dehydrogenation and isomerization of cyclohexane resulted in a set of non-linear equations. These equations could not be solved explicitly for the two forward rate constants. Application of optimization tech niques to solve for these rate constants is also discussed in this chapter. B . Cyclohexane-Benzene and Cyclohexane-Methylcyclopentane Equilibrium The determination of reaction rate constants in reversible reactions . requires a knowledge of the equilibrium constants involved. In general, reaction equilibrium constants can be determined from free energy data or from experimental data reported in the literature. Both methods can give erroneous values for the equilibrium constant depending on the application. Use of free energy data to determine equilibrium constants can be subject to question when the free energy change or heat of reaction is small. This results in an exponentiation of a small Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 79 difference between two large numbers and is subject to large percentage errors. Use of actual experimental data for equilibrium constants can result in error if the approach to equilibrium is not sufficient or if side reactions are not suppressed. The isomerization of cyclohexane to methylcyclopentane is a rela tively slow reaction and is accompanied by a small free energy change. The experimental equilibrium constants for this reaction reported by H o p p e r ^ ^ and o t h ers^’^ ’^ ’^ ’^^ were 10-20% below those calculated (23) from API-44 free energy data in the 100 to 600^F temperature range. The data of Ciapetta,^"^ however, were almost coincidental with the free energy predicted values at 700PF; and the general trend of all the experimental data indicated convergence with API-44 values at tempera tures above 70CP'F. Since the temperature range of interest for this (23) investigation was 700-93CPF, API-44 free energy data' were used to calculate the isomerization of cyclohexane. The linear equation repre senting the isomerization equilibrium constant is In Ke = -2875/T(°R) + 4.430 The dehydrogenation of cyclohexane to benzene is a very fast reaction and is accompanied by a large free energy change. The liter ature contained very few experimental equilibrium determinations for the dehydrogenation of cyclohexane to benzene or the hydrogenation of (3) (33) benzene to cyclohexane. Burrows' ' and Zharkova reported equilibrium data for the hydrogenation of benzene to cyclohexane in the temperature range 450-590PF. N o data, however, could be found in the temperature region of interest, 700-93CPF. This is quite understandable since the magnitude of the dehydrogenation equilibrium constant in the region of interest is 104 -107 and compositions would be very difficult to measure. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 80 (23) For these reasons the API-44 free energy data' 7 were used to calculate the equilibrium constant for the dehydrogenation of cyclohexane. The linear equation representing the dehydrogenation equilibrium constant is In Ka = -46350/T(°R) +4 6 . 5 2 Confidence in the equilibrium constants calculated from the free energy data was strengthened by the results of an experimental equilib rium run. Cyclohexane was reacted over the Pt-ALjOa -mordenite catalyst at 775°F, 85 psia and a long contact time to insure a close approach to equilibrium. The experimental and. calculated equilibrium compositions for the simultaneous dehydrogenation and isomerization are shown below. Product Mole Fraction free)_____ Run Cyclohexane Methylcyclopentane Benzene 26A* 0.033 0.112 0.855 Calculated 0.020 0.140 0.840 Equilibrium The calculated equilibrium composition was determined by assuming K = Kp and solving the equilibria simultaneously. The agreement between the experimental and calculated equilibrium compositions is good. The small discrepancy in the methylcyclopentane composition is probably due to insufficx. nt contact time ‘since it was shown previously that the free energy and experimental equilibria become coincident above 70CPF. C. Reactor Contacting The calculation of reaction rate constants in a flow system requires (2) a knowledge of the type of flow pattern involved. Bryant 7 made a study of the flow pattern in a duplicate of the reactor used in this work. Tracer tests methods were used and the results of this study Detailed run data are given in Appendix B. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 81 Indicated that plug flow essentially existed for Peclet numbers above 60. The Peclet number is a measure of the directed motion of the bulk stream to the random motion in the diffusive eddies and describes the mixing behavior of a fluid system. Correspondingly, a Peclet number of zero represents perfect mixing (i.e., an ideal backmix reactor) while a Peclet number of infinity represents the situation of ideal plug flow. Some investigators^^ used the "reactor dispersion number" as an index of reactor, contacting which is simply the reciprocal of the Peclet number. (2) The contacting data obtained by Bryant' are in good agreement with a correlation published by Levenspiel and Bischoff^^ which relates the "mixing intensity" to the particle Reynold's number. This correlation was used to estimate the Peclet number for the reactor used in this investigation. The conditions used in the calculation represent the average flow conditions for the majority of the work. This estimation is shown below. Data Catalyst Porosity, € = 0 . 7 (estimated) Average Particle Diameter, dp = 0.000589 ft Reactor Cross Sectional Area, A = 0.001625 ft Catalyst Bed Length, L = 0.326 ft Cyclohexane Flow Rate = 0.0700 lb/hr Hydrogen Flow Rate = 0.0336 lb/hr Total Mass Flow Rate, W = 0.1036 lb/hr Viscosity of Mixture at 775°F and 85 psia, p, = 0.0358 lb/ft-hr (estimated) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 82 Calculation of Peclet No. dpW Particle Reynolds Number; Rep = = 1.01 "Mixing Intensity" Estimated from Correlation: = 2.0 at Rep = 1.01 Pe = 194 Pe dp p The estimated value of 194 for the Peclet number indicates that the experiments in this investigation were performed in the plug flow region. D. Derivation of Kinetic Equations The vast majority of chemical reactions are believed to proceed through reactive intermediates which are present in very small concen trations.^ In solid catalyzed chemical reactions these intermediates have been postulated to be chemically adsorbed species at the surface of the catalyst. The spots or centers of the catalyst which have the ability to form chemically reactive intermediates are called active (29) centers,- a term coined by Taylor in 1925. The active center concept has dominated thinking in heterogeneous catalysis during the past forty years. Though it may never be possible to see active centers directly, they can be developed in certain situa tions such that they are visible under electron microscopy.^This viewing of developed active centers by an electron microscope earned Ziegler and Natta the 1963 Nobel Prize in Chemistry for the polymeri zation of propylene on a titanium trichloride-aluminum alkyl catalyst. The combination of the active center concept and adsorption theory in the case of fluid reactions catalyzed by solids has been summarized (13) by Hougen and Watson and is generally referred to as Langmuir- Hinshelwood kinetics. The application of Langmuir-Hinshelwood kinetics to solid catalyzed chemical reactions usually results in a large number Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 83 of arbitrary parameters for each rate controlling mechanism. The large number of parameters makes it difficult to reach absolute conclusions with regard to the mechanism or rate controlling step on the basis of best fit alone.Investigators still disagree^’^^ or are (14) undecided about the exact mechanism of ortho-parahydrogen conversion and it may never be possible to determine the correct mechanism from kinetic measurements alone. In spite of the difficulty of deducing exact mechanisms from analysis of kinetic data by Langmuir-Hinshelwood kinetics, it is believed that it still represents the most powerful tool available for modeling solid catalyzed fluid reactions. 1. Rate Limiting Processes in Heterogeneous Catalysis The quantitative relations involved in the catalysis of fluid (13) reactions by solid catalysts are summarized by Hougen and Watson. It is postulated that the reaction occurs on the surface of the catalyst which involves molecules chemisorbed on the active centers. The catalyst increases the rate of reaction by adsorbing the reactants in a form such that the activation energy is reduced below that required for the uncatalyzed reaction. The catalytic conversion of a reactant in the bulk stream to a product in the bulk stream can be visualized as taking place by the following stepwise process: a. Mass transfer of the reactants from the main fluid phase to the exterior surface of the catalyst. b. Diffusion of the reactants into the pores of the catalyst. c. Activated adsorption of the reactants on the active sites of the catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. d. Surface reaction to form products. e. Desorption of the products from the active sites of the catalyst. f. Diffusion of the products out the pores of the catalyst. g. Mass transfer of the products from the exterior surface of the catalyst to the main fluid phase. The rate at which each of these steps occur influences the overall rate and the slowest step is termed the "rate controlling step. Although all the steps are dependent on the concentration gradients of the system they additionally depend on several widely different factors The mass transfer steps (a. and g.) depend on the flow characteristics of the bulk stream such as mass velocity and diffusivity. The pore diffusion steps (b. and f.) depend on the porosity of the catalyst, geometry of the pores, and the rate of reaction at the interface. The chemical steps (c., d. and e.) depend on the nature of the catalyst surface and the activation energies involved. Although the mass trans fer steps and chemical steps occur in series and can be treated separately, the pore diffusion steps are not related in any simple way to the others. The response of each of the steps to changes in system parameters varies widely. This fact can be used to adjust the system parameters such that step(s) under consideration are rate controlling and all the other steps are at equilibrium. The mass transfer steps can be eliminated as rate controlling by increasing the velocity of the bulk stream to a point where there is no change in reactant conversion with a further increase in velocity. The pore diffusion step is gener ally eliminated as rate controlling by two methods. The first is to Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 85 decrease the catalyst particle size to a point where a further decrease causes no change in reaction rate. The second is to decrease the reaction temperature to a value where the surface chemical steps become rate controlling. Since one of the objectives of this investigation is to study and model the surface kinetics, mass transfer and macropore diffusion were eliminated as rate controlling steps by adjustment of the system parameters. The procedure followed is to first develop the rate equations assuming mass transfer and macropore diffusion resistances are negligible. Then using the kinetic equations it is shown that changes in the signif icant independent variables (i.e., mass velocity and catalyst particle size) cause no change in the rate constants. The experimental data confirming that mass transfer is not rate controlling and the macropore diffusion resistance is negligible are shown in Chapter VI. 2. Derivation of the Rate Equations Once it has been shown that mass transfer and macropore diffusion contribute negligible resistance to the rate of reaction, the chemical steps of adsorption/desorption and surface reaction must be examined. The usual procedure assuming Langmuir-Hinshelwood kinetics is: a. Postulate a mechanism as a series of stepwise reactions. b. Derive a reversible rate equation for each step. c. Assume one of the steps is rate controlling and all the rest are at equilibrium. d. Using the results of a., b., and c. derive an equation for the overall rate. e. Apply the rate equation to the experimental data and calculate the arbitrary parameters (i.e., rate and adsorption constants). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 86 £. Repeat steps a. through e. for each possible mechanism. g. Discard those mechanisms with physically unrealizable constants. h. Of the remaining set choose the mechanism with the best fit. As mentioned before, this procedure has received criticism not for its ability to correlate kinetic data but for reaching absolute conclusions about the mechanism from best fit alone. The complexity of the situation increases rapidly with the (13) complexity of the reaction considered. Hougen and Watson in their analysis of the hydrogenation of mixed iso-octenes considered seventeen /£\ possible mechanisms. Cochrane in the analysis of the steam-methane reforming reactions eliminated all but six out of over one hundred possible mechanisms. Corrigan^^ has pessimistically stated that there is no instance in the literature where a complete kinetic analysis of a complex reaction has been made. It should also be noted that the kinetic studies mentioned in this paragraph used differential reactors to obtain the reaction rate data. The use of an integral reactor multiplies the complexity of the problem .immeasurably. To find the rate in an integral reactor the data must be graphically or numerically differentiated or the rate equation must be integrated. Graphical or numerical differ entiation is very hard to do accurately and exact integration is impos sible with many assumed mechanisms. Therefore, faced with the problem of kinetic analysis of a complex reaction in an integral reactor a course has been selected which allows the reaction to be modeled within the framework of Langmuir- Hinshelwood kinetics. It is assumed that the simultaneous Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 87 dehydrogenation and isomerization of cyclohexane can be represented by a simplified reversible reaction model which is where kj and kg are the forward reaction rate constants and k^ and kj are the reverse reaction rate constants. This model assumes that: a. The surface dehydrogenation of cyclohexane to benzene and hydrogen is the rate controlling step in the dehydrogenation reaction. b. The surface isomerization of cyclohexane to methylcyclo- pentane is the rate controlling step in the isomerization reaction. c. The rate constants are independent of composition. d. Hydrocracking of cyclohexane to form lower molecular weight products is negligible. The examination and justification of these assumptions here would pre-empt the purpose of Chapter VI. This discussion has been deferred to Chapter VI where they can be examined in light of the experimental data. To derive the rate equations, consider an elementary section of the reactor catalyst bed containing an amount of catalyst AWC . Flow AW, Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 88 The reaction zone is of constant cross section and it is assumed that the catalyst is packed uniformly throughout the reaction zone. At steady state, assuming constant temperature and negligible pressure drop, the material balances on benzene and methylcyclopentane are Nb (Wc) + rBAWc - Nb (Wc + AWC) = 0 (1) and H,(WC) + r„AWc - H,(WC + AWC) = 0 (2) where ■ Ng = gm moles benzene/min, = gm moles methylcyclopentane/min, W c = gm of catalyst, rB = gm moles benzene produced/min-gm catalyst, rH = gm moles methylcyclopentane produced/min-gm catalyst. If equations (1) and (2) are rearranged and divided by AWC , the result is Nb (Wc + AWC) - Nb (Wc) AW, (3) and H,(WC + AWC) - H,(WC) • tH = AWC • W Taking the limit of equations (3) and (4) as AWC-* 0 forms the definitions of the first derivatives, and the equations become r= - 3 5 7 (5) and r« - % ■ < « In terms of simplified reaction model given on page 87, the rates of formation of benzene and methylcyclopentane may be written as rs ° ^Pc - WftPka and Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 89 rB “ H b Pc " . <8> where pc = partial pressure of cyclohexane, atm, pB = partial pressure of benzene, atm, p^, = partial pressure of methylcyclopentane, atm, pHg = partial pressure of hydrogen, atm, kj, ^2 = 8m moles/gm catalyst-atra-min. Eliminating rB and rH between equations (5), (6), (7) and (8) yields g k - - k^pB PHg (9) and = kgPc - k2 pH . (10) At the conditions of this study (~800PF, 85 psia) the fugacity coeffi cients of all the components are very close to unity. It seems reason able, therefore, to assume Dalton's law is applicable which is Pi » nyi (11) where pt = partial pressure of component i, atm, tt = total pressure, atm, yt = mole fraction of component i. Substituting equation (11) into equations (9) and (10) for each compo nent yields = kitryc - kJ'(TTyB )(TTyH2)3 (12) and = ksnyc - kg'nyn . (13) Equations (12) and (13) cannot be integrated in their present form unless some provision is made to counteract the severe volume change caused by the dehydrogenation reaction. To make these equations Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 90 integrable and simplify the analysis of the experimental data, a very high hydrogen diluent was used. At the average conditions of this study, the dilution ratio was 20 moles Hg/mole cyclohexane feed. This diluent ratio kept the system volume change under 10% for the highest conversion levels with the average volume change being around 5%. These percent ages are within the accuracy of the experimental data taken and the assumption of constant system volume is considered reasonable. Another consequence of the high hydrogen diluent is that the hydrogen concentra tion can be considered uniform with respect to reactor length. Mathe matically, the assumptions of constant volume (or moles) and constant hydrogen concentration are Nt = NTy (14) with dNj = NTdyi (15) and y»a * m (l6) where NT - total gm-moles gas/min, a constant, R = gm-moles Hj diluent/mole cyclohexane feed, a constant. Substituting equations (15) and (16) into(12) and (13) gives = kiTTyc - k^(nyB ) (R- ^ (17) and c = " kaTT3fo ‘ (18) For ease in interpreting the experimental results the mole fractions are converted to a hydrogen-free basis by using y X c = yiNT (19) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 91 where y{ - mole fraction of component i on a hydrogen-free basis, Nhc *» total moles hydrocarbons/min. Substituting equation (19) into equations (17) and (18) and noting that the total moles of hydrocarbon remain constant gives, after simplification d y B _ -i,f ^ye /_5_\3 j /on\ dwT yc ^ 157 R + 1 and = £aZ yp' - Id HZ”. dW,~ic T n t yc ^ . nt . (21) Defining a space time 0 as 6n = -r- , (22) F which can be transformed to dWc = Fd0 (23) since F, the mass feed rate of cyclohexane to the reactor, is a constant. Equations (20) and (21) can be put into final form by substituting equation (23) and noting that yc “ 1 - yB - yM • (24) Performing these substitutions gives the final differential form of the simultaneous rate equations which are dy£ _ I^ttF , , kfrF / _ R _ v 3 _3 v / (25) d0 N t ( ~ N t (R + l' and dyH _ ^ttF , , Icj'ttF , do u T (1 - yB - yH) - — y» • (26) 3. Simultaneous Solution of the Differential Rate Equations Once the rate equations have been obtained they can be used to calculate values for the rate constants. Himmelblau et al^ ^ have reviewed the methods available for estimati.ng rate constants for complex Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. reactions from experimental data. These methods generally fall into the following four primary classes: a. Analytical (exact or approximate) integration of the set of differential equations with subsequent application of iterative non linear least squares techniques. b. Differentiation of the experimental data with subsequent application of linear least squares techniques. c. Numerical integration of the differential equations using the experimental data followed by iterative non-linear least squares techniques. d. Matching of the experimental data on an analog computer by a trial and error search. All of the methods listed above and their variations have advantages and disadvantages depending on the application. Category (a) is used frequently where a simple mechanism is applicable and is the general method used in this investigation since the simultaneous differential equations can be solved exactly. The equations that must be solved simultaneously are (25) and (26) which were derived in the previous section. The boundary conditions are yl - 0 and yH' = 0 at 9 = 0 . Jungers e t a l ^ ^ have solved the simultaneous differential rate equations resulting from the general system Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 93 B sc •which are dx — = kL (a - x - y) - k.j(b + x) (27) and ^ = kTT (a - x - y) - k.n (c + y) (28) dt *1 1 ' where t = time, ki = reaction rate constants, a, b, c = initial concentrations of components A, B, and C, x = concentration of component B, y = concentration of component C. If the substitutions t = 0 (29) a = 1 (30) b = c = 0 (31) x = yB' (32) (33) y = Yh *1 Nt (34) k = ( . . R . ) 3 n 3 (35) k-l Nt R + 1 k - v * (36) *i “ i i T kg'nF k. (37) 11 = ~ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 94 are made in equations (25) and (26) the resulting equations are identical to equations (27) and (28) which are Jungers starting equations. Since the two sets of equations are equivalent, Jungers solution was used and then transformed to the nomenclature of this problem and checked by differentiation. Equations (27) and (28) are solved simultaneously by first taking the derivative of equation (27) with respect to t which yields . dF = ' kidT “ k-idF " kidT • (38) Substituting equation (28) into equation (38) for gives = -(kx+ k-i)f^ - k-l[kji(a - x) - k_li;c - (kn + k_n )y] . (39) Equation (39) can be put in the final form for solution by solving equation (27) for y, which upon substitution in (39) yields dF + (ki+ k-i+ kn+ k-n>dt + (kik-n+ k-ikn+ k-ik-u)x - kIk.I 1 (c + a) + k_jb (kjj+ k_lx) = 0 . (40) By an analogous procedure equation (28) can be transformed to give + (kL+ k.j+ kn + k _IX) ~ 2 + (kI£k_j+ k£Ikx+ k.IIk_I )y ~klIk_X (b + a) + k_j£c (kj+ k_£) = 0 . (41) Equations (40) and (41) are ordinary second order differential equations with constant coefficients and have the general solutions X - P I er't + Qler= t + ^ (42) and y = Pn eri,: + 0 1 1 ^ 3 C +*Et. (43) where Pj, Pxx, Q j , QIX , Yj /0 and Yj-j /P are functions of the constant terms in the coefficients. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 95 Equations (42) and (43) are also solutions to equations (25) and (26), the rate equations for this investigation. The final solution of equations (25) and (26) is obtained by applying the transformation equations (29) (37) to Jungers solution. In addition, the reverse reaction rate constants are eliminated in the final solution by intro ducing the definitions of the equilibrium constants *» - sj- ■ «*> • and Kb = rr (45) or K - £ <«> and Vi - • (47) k b Therefore, the final solutions are Ye = Bj e*1 0 + Bs e*3 9 + B3 (48) and y^ = Mieri 0 + Mge^ 6 + ^ (49) where (50) (51) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 96 r ( h ) + iaJlZ: = 2l_ , (52) r l ~ r a r (_ 3 s + V* B2 - .*3.+ HK° +. 3 ____ »I_ , (53) r 3 - r l ^ = KA + HKb + H * r ( HKg , + I^ttF Nt_ t (55) rl - r2 r ( »*» >, . KaTTF Ms = k a + + H; ^ N t (56) r3 - rl M HKfl ^ KA + HKe + H * ^ ^ H B (r~tt)3ti3 • (58) Equations (48) and (49) give the outlet composition for the assumedreaction model in an integral reactor as a explicit function of the space time 0 , reaction rate constants and other process variables or yB' = f(kl , kg, 0 , process variables) (59) and y» = g(^i> Hb > 9> process variables) . (60) To test the assumed model and correlate the rate constants with temper ature and pressure it would be convenient to solve equations (59) and (60) simultaneously giving kj = f'(yB', yM', 0 , process variables) (61) and kg s'g /(yB/» Yh > 9» process variables) . (62) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 97 Due to the non-linearity of the system, this algebraic transformation is impossible and it is necessary to use iterative techniques to solve for the reaction rate constants. The simultaneous solution of equations (48) and (49) for the reaction rate constants kj and kg by iterative techniques is discussed in the next section. E. Solution of the Kinetic Equations for the Reaction Rate Constants 1. Solution of Non-Linear Equations The numerical solution of simultaneous algebraic and transcen dental equations is one of the tasks most frequently encountered in applied mathematics. The methods available for the exact solution of simultaneous linear equations are numerous and have been developed to a high degree. In contrast there are no general procedures for the solu tion of simultaneous non-linear equations. Most methods for solving systems of non-linear equations are iterative. These iterative methods require an initial guess to the solution and a new point is computed by the algorithm used. The process is continued by successively calculating points that give improved approximations to the solution. A good example of such a procedure is the Newton-Raphson method which is described in many texts on numerical (24 25 27 18) analysis. ’ ’ * The Newton-Raphson method and many others use the linear terms of a Taylor series expansion to approximate the function and require initial guesses fairly near the solution. The problem of locating maxima or minima is very similar to that of finding a root. It is convenient many times in the solution of simultaneous non-linear equations to formulate the problem as a minimization.<22,31) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 98 Consider the set of p simultaneous non-linear equations (59) One way to solve this set of equations is to compute the function P (60) i=l and search for the minimum of $. The values of the independent variables Xjl , x^ , ..., Xp which makes $ = 0 is the solution to the set since all of the ft must be zero. If these equations are non-linear they will have a number of solutions and care must be taken in the selection of the initial guesses. Frequently natural limitations often ensure that the equations have only a single solution which is physically meaningful. These limitations are usually taken into account by the use of constraints. To carry out the solution by minimization, a search plan or optimization routine is needed. Many methods of steepest descent for (31 3: multivariable problems are described in modern optimization texts. ’ The choice of the optimization technique depends on the complexity and nature of the problem. Reasonably simple methods can be used where the response surface is strongly unimodal but very complex ones are usually required where saddle points or ridges are encountered. Therefore, the solution of the non-linear kinetic equations Vb = Bieri0 + Bge^ 0 + Rj (61) and yH' = M ^ l ® + K Jer2 0 + M, (62) for the reaction rate constants kj^ and Vq can be formulated as a minimization problem. If equations are rearranged to Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 99 \ e ri e + E^ 9 + Rj - yB' = Bj (63) and M ^ i 0 + ^ e r2 0 + M, - yH' = Rg , (64) I the problem is to minimize: $ = I^ 3 + Rg2 (65) subject to: kj > 0 , kg > 0 where Rj and Kg are called the residuals. The values of and kg that make $ = 0 are the solution of the set. The search plan used to accomplish this minimization and its implementation is discussed in the following two sections. 2. Pattern Search It was pointed out previously that the choice of a search technique depends on the nature of the response surface. Usually it is advisable to graphically examine the response surface so that the characteristics of the surface can be matched to the advantages of the search technique. The response surface for a typical experimental run is shown in Figure 7 with the surface cross section shown in Figure 8 . These curves were generated by computing $ from equation (65) for many values of kj and kg and joining points of constant $ to form the contours. Figures 7 and 8 clearly indicate that the response surface generated from equation (65) is strongly unimodal with ellipsoidal like contours and no apparent saddle points or ridges. Most optimization techniques will work well with a surface like this and the choice is usually one of convenience rather than necessity. The optimization routine used in this investigation to find the solution of equations (61) and (62) by minimization is pattern search developed by Hooke and Jeeves.Wilde^^ indicates that the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 100 0.30 0.06 0.20 0.15 Contours are lines 0 .10, 0.05 of constant $. c •H e ■ 4JB 0.04 4J flj u B 00 r—4 0.03 o B 0.03 B oo 0.01 0.02 0.005 0.001 0.01 0.0 0.02 0.04 0.06 0.08 kx , gm moles/gm cat-atm-min */c Detailed Run Data are given in Appendix B. Figure 7. Response Surface for Run 35A. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 101 0.24 0.20 0.16 kg =0.02 0.12 u o o 0.04 0.04 0.08 0.12 0.16 k j , gm moles/gm cat-atm-min Detailed Run Data are given in Appendix B. Figure 8 . Cross Section of the Response Surface for Run 35A. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 102 pattern search strategy is very well adopted to non-linear curve fitting problems involving minimization of a sum of squares. Another advantage of pattern search is that the computation time is proportional to only the first power of the number of variables. This is in contrast to the computing time of many classical multivariable search techniques which grows with the cube of the dimensionality. Pattern search is based on the premise that any adjustments of the independent variable which have been successful in the early part of the search will be worth trying again. Although the method starts cautiously, the steps grow with repeated success. Subsequent failure causes the steps to grow shorter and if a change in direction is indicated, a new pattern will be formed and the technique will start over. In the vicinity of the optimum, the steps become very small. Illustration of the pattern search technique can be accom- (31 32) plished by the use of a simple generalized example after Wilde. * Consider the problem of a two variable search as shown in Figure 9 where the contours represent the criterion function. The search starts at an arbitrary base point a± , and a step size Ai is chosen for each independent variable. After measuring the criterion function at aj, an observation is taken at aj + Ax • If this point is better than % > % + Ai is called the temporary head hlx which indicates that the first pattern is being developed and the first variable has been perturbed. It is possible that % + Aj may not be as good as in which case % + Ai I® discarded and aj^ - Ai is tried. If this point is better than a^ , it is called the temporary head. Therefore, the temporary head, h ^ , is given by Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 103 O — A r / O r s / h4 0 ” % " a6 0 *’P k " 0 / +A; Illustration of Pattern Search for an Arbitrary Figure 9. Response surface. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 104 % + Ax if y( % + A x) > y(aj) % - Ax if y(ax - Ax) > y(ai) (66) a^ if y(a*) > max [y(a1+ Ax), y^ - Ax)] The next independent variable x^ is perturbed in a similar manner, this time about the temporary head hj^ instead of the base aj. The next temporary head h12 is determined by h u + Ag if y(hxx'F Ag) > y(hjj) hxj - Ag if y(hlx- Ag) > y(hn) (67) hxl if y(hxl) > max [>(1^+ Ag) , y(hxX- Ag)] The original base and the new base ag together form the first pattern. Pattern search reasons that if a similar exploration were conducted at ag the results would be the same. Therefore, the local explorations at ag are skipped and an arrow is extended from through 3g establishing a new temporary head, hgg, for the second pattern at ag . The new temporary head, hg0 is given by hg0 “ "b (2flg “ 3j) = 2ag - a^ . ( 6 8 ) The subscript 20 means that a second pattern is being started but the variables have not yet been perturbed. An exploration is conducted at hj0 to correct the tenative pattern. The equations which control the establishment of new temporary heads are similar to equations (66) and (67) with the appropriate subscripts being used. A new temporary head, hj0 , is established by extrapolating from ag through % , tbo e 2as - % • <69) Repeated success in this direction causes the pattern to grow; and if this general trend continues, the pattern will go to the left still growing in length. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 105 Suppose, however, that for the fourth pattern none of the explorations about the temporary head,,h4 0 , improve the criterion func tion but that y(h40) > y(a4) . Also, suppose that none of the temporary heads extending from hi0 are any better than ag . Then % = a6 and the pattern is destroyed. This can mean that this is the vicinity of the optimum or a ridge is being crossed. Since the old pattern cannot be continued, a new one is built using % as the base point. If local exploration about ag produces a better point, the process is continued. If, however, a better point cannot be found, the steps are shortened to break the deadlock. If this reduction allows an improvement, a new, smaller pattern is begun. A l though this pattern is small, success will cause it to grow rapidly. The whole process is continued until a point is reached where repeated reduction in step size yields no improvement in the criterion function. Pattern search, being unable to advance further, calls this point the optimum. 3. Solution of Kinetic Equations by Pattern Search The pattern search minimization of $ * Rj3 + Rg2 (70) to obtain the reaction rate constants for each experimental run is a very long and tedious numerical calculation. Iterative computations of this kind are easily programmed for digital computer solution which gives a degree of accuracy and consistency not obtainable manually. The pattern search minimization routine for this investigation is included as a part of the overall yield-material balance computer program SLAVEU which is shown schematically in Figure 10 and listed in Appendix E. Subroutine PATERN is a generalized pattern search variable adjustment routine and Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 106 SLAVEU START PROGRAM MAIN - SUBROUTINES MULSVR CSTGEN, FEEDX, SORTX, GASX, LIQX Calculation of yields and material balances. Accessory calculations and parameter set-up for minimization routine. Printing of final answers SUBROUTINE PATERN Adjustment of independent variables for minimization. SUBROUTINE PROC SUBROUTINE BOUNDS Evaluation of sum Check for constraint of squares of violation. residuals. Figure 10. Schematic Flow Diagram for Computer Program SLAVEZ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 107 was written by Dr. C. F. Moore for use in the Chemical Engineering Department of Louisiana State University. The calculation of the rate constants for an experimental run requires the following data: a. Run identification b. Liquid feed and hydrogen diluent rates c. . Reactor temperature and pressure d. Catalyst weight e. Product gas and liquid rates f. Product analysis from gas chromatograph. The main program loads the data and calculates the product yields, material balance, and constant terms necessary for the minimization. Control is passed to subroutine PATERN which directs the search for the minimum of the objective function. During the search subroutine, PROC evaluates §, the sum of the squares of the residuals while BOUNDS checks for constraint violations. When subroutine PATERN finds the minimum, control is passed back to the main program which prints the final answers. The pattern search routine requires an initial estimate of both rate constants. While the routine is able to find the minimum from almost any pair of positive numbers, computing time can be saved by making good estimates. It was found that a good estimate of the dehydro genation forward rate constant could be made by assuming that only the dehydrogenation part of the reaction is significant. If only the dehy drogenation of cyclohexane is significant then an estimate of the for ward reaction rate constant is given by Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 108 n o = - M ____ In (71) ^ E S T ttF O C K ^ 1) K* + H. ( ) ye J Ka Equation (71) is obtained by integration of the dehydrogenation rate equation assuming methylcyclopentane is not present. An estimate of the isomerization forward rate constant is found by the product of (kj,)EST and the ratio of the product mole fractions of methylcyclopentane and benzene or = (^i )est • (72) Equations (71) and (72) are used to provide initial estimates for the pattern search. The initial estimates of the reaction rate constants were usually within 20-307, of the final values. The possibility of multiple solutions and local minima which do not represent solutions are always present in non-linear optimization problems. Local minima which do not represent a solution to the set of equations can be easily recognized by the presence of a non-zero value for the sum of squares of the residuals. Multiple feasible solutions, if present, can be a real problem since all of them must mathematically be considered valid. Fortunately, neither local minima nor multiple feasible solutions were encountered in this investigation. The presence of multiple feasible solutions can be detected by a variation in the final answer with the initial estimate. Each experimental run in this investigation was optimized for seven sets of initial estimates. These estimates ranged from one fifth to five times ♦ the estimates calculated from equations (71) and (72) . In all experi mental runs convergence to the same solution was obtained. The set of initial estimates and final solution for a typical experimental run is given in Table 6 . Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 109 0.007495 0.007494 0.007494 0.007494 0.007494 0.007494 0.007494 Isomerization ^ cat-atm-min ’gm . . moles gm 0.04366 0.04367 0.04366 0.04366 0.04366 0.04366 0.04366 FinalOptimized Rate Constants Dehydrogenation ^ cat-atm-min ’gm . . gmmoles 0.3355xl0_xo 0.1947x10"X1 0.9607xl0"xx of.Criterion 0.4448x10_11 Function, 4> Function, Final Value Different Initial Estimates of the 74 0.6789x10-® 75 0.3372xl0-9 97 86 117 112 No. No. of Iterations 0.03535 0.02121 0.01414 0.001414 0.002350 0.003535 81 0.1417xl0-1° 0.007071 Isomerization ^ cat-atm-min ’gm . . moles gm of Rateof Constants * Rate Constants, Run 35A.* Detailed RunData are givenAppendix in B. 6 * . . - Convergence of the SearchRoutine for 0.2062 0.1237 . 0.01373 0.04124 0.08248 0.00825 0.02062 a a Initial Estimate Dehydrogenat ion Dehydrogenat ^ cat-atm-min ’gm . . moles gm Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. LIST OF REFERENCES - CHAPTER V 1. Boudart, M . , "Four Decades of Active Centers," American Scientist, 57 (No. 1), 97 (1969). 2. Bryant, P. A., "Hydroisomerization of Normal Pentane over a Zeolite Catalyst," Ph.D. dissertation, Department of Chemical Engineering, Louisiana State University, 1966. 3. Burrows, G. H. and Lucarini, J. F., "The Equilibrium Between Benzene, Hydrogen, and Cyclohexane," Journal of the American Chemical Society, 49, 1157 (1927). 4. Chou, C. H., "Least Squares," Industrial and Engineering Chemistry, 50 (No. 5), 799 (1958). 5. Ciapetta, F. G., "Isomerization of Saturated Hydrocarbons, Cycloalkanes," Industrial and Engineering Chemistry, 45, 159 (1953). 6 . Cochrane, T. J., Jr., "A Kinetic Study of the Steam-Methane Reaction," M.S. thesis, Department of Chemical Engineering, West Virginia University, 1551. 7. Corrigan, T. E., "Chemical Engineering Fundamentals, Interpretation of Kinetic Data-II," Chemical Engineering, 62, 203 (1955). 8 . Couper, A. and Eley, D. D., "The Reversible Dissociation of Hydrogen Molecules and Para-Hydrogen Conversion," Proceedings of the Royal Society of London, A-211, 536 (1952). 9. Glazebrook, A. L. and Lovell, W. G., "The Isomerization of Cyclo hexane and Methylcyclopentane," Journal of the American Chemical Society, 61, 1717 (1939). 10. Himmelblau, D. M., Jones, C. R. and Bischoff, K. B., "Determination of Rate Constants for Complex Kinetic Models," Industrial and Engineering Chemistry Fundamentals, 6_ (No. 4) , 539 (1967) . 11. Hooke, R. and Jeeves, T. A., "Direct Search Solution of Numerical and Statistical Problems," Journal Association of Computing Machinery, 8 (No. 2), 212 (1961). 12. Hopper, J. R., "A Study of the Catalytic Hydroisomerization Reactions of N-Pentane and Cyclohexane over Structurally Modified Mordenites," Ph.D. dissertation, Department of Chemical Engineering, Louisiana State University, 1969. 110 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Ill 13. -Hougen, 0. A. and Watson, K M., Chemical Process Principles, Part III, Kinetics and Catalysis, John Wiley and Sons, New York, N. Y., 1947. 14. Hutchinson, H. L., Barrick, P. L. , and Brown, L. F., "Langmuir Kinetics and the Catalytic Para-Orthohydrogen Shift Reaction," Chemical Engineering Progress Symposium Series, 63 (No. 72), 18 15. Jungers, J. C. et al, Cine'teque Chimique Applique'e, Technip, Paris, France, 1958. , 16. Levenspiel, 0., Chemical Reaction Engineering, John Wiley and Sons, New York, N. Y., 1962. 17. Levenspiel, 0. and Bischoff, K. B., "Patterns of Flow in Chemical Process Vessels," Advances in Chemical Engineering, 4, 95, Academic Press, New York, N. Y., 1963. 18. McCracken, D. D. and Dorn, W. S., Numerical Methods and Fortran Programming, John Wiley and Sons, New York, N. Y . , 1964. 19. Mizushima, S., Morino, Y. , and Fiyisiro, R . , Science Papers Institute Physics Chemical Research (Tokyo), 3J5, Nos. 1034-1035 (1941). 20. d'Ouville, E. L., Lien, A. P., Evering, B.L.,and Grobb, H. M . , "Rate of Isomerization of Cyclohexane," Industrial and Engineer ing Chemistry, 4 4 , 351 (1952). 21. Rideal, E. K. and Trapnell, B. M. W., "The Mechanism and Temperature Coefficient of the Para-Hydrogen Conversion," Discussions of the Faraday Society, No. 8 , 114 (1950). 22. Rosenbrock, H. H. and Storey, C., Computational Techniques for Chemical Engineers, Pergamon Press, London, 1966. 23. Rossini, F. D., e£ al, Selected Values of Physical and Thermodynamic Properties of Hydrocarbons and Related Compounds, Carnegie Press, Pittsburgh, Pa., 1953. 24. Saaty, T.L., and Bram J., Nonlinear Mathematics, McGraw-Hill, New York, N. Y., 1964. 25. Salvadori, M. G. and Baron, M. L., Numerical Methods in Engineering, Prentice-Hall, Englewood Cliffs, N. J., 1961. 26. Schuit, G. C. A., Hoog,H.,and Verheus, J., "Investigations Into the Isomerizations of Aliphatic and Alicyclic Hydrocarbons," Recueil des Traveux Chimiques de Pays-Bas, 59, 793 (1940) . 27. Stanton, R. G., Numerical Methods for Science and Engineering, Prentice-Hall, Englewood Cliffs, N. J., 1961. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 112 28. Stevenson, D. P. and Morgan, J. H., "The Isomerization of Cyclo hexane and Methylcyclopentane in the Presence of Aluminum Halides. II. Equilibrium and Side Reactions," Journal of the American Chemical Society, 70, 2773 (1948). 29. Taylor, H. S., "A Theory of the Catalytic Surface," Proceedings of the Royal Society of London, A108, 105 (1925) . 30. Weller, S., "Analysis of Kinetic Data for Heterogeneous Reactions," American Institute of Chemical Engineering Journal, 2_ (No. 1), 59 (1956). 31. Wilde, D. J., Optimum Seeking Methods, Prentice-Hall, Englewood Cliffs, N. J., 1964. 32. Wilde, D. J., and Beightler, C. S., Foundations of Optimization, Prentice-Hall, Englewood Cliffs, N. J., 1967. 33. Zharkova, V. R. and Frost, A. V., "Chemical Equilibrium, of Reactions of Hydrocarbons," Journal of General Chemistry U.S.S.R., 2, 534 (1932); Chemical Abstracts, 27, 888 (1932). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER V I EXPERIMENTAL DATA AND ITS ANALYSIS A. Introduction This investigation is a study of the dehydrogenation and isomeri zation properties of a halogen-free, bifunctional platinum-alumina- mordenite catalyst. The importance of dehydrogenation and isomerization in catalytic reforming plus the selective catalysis potential offered by crystalline zeolites have provided the motivation for this research. The majority of the experimentation has been directed toward the simultaneous dehydrogenation and isomerization of cyclohexane over the platinum- alumina-mordenite catalyst. These results are supplemented by a limited study of cyclohexane dehydrogenation over a halogen-free platinum-alumina catalyst. The dehydrocyclization and dehydroisomerization capabilities of the platinum-alumina-mordenite catalyst are also investigated by limited experimentation on n-heptane and methylcyclopentane. The prepar ation and physical properties, of these two catalysts have been discussed in Chapter IV. The primary objectives of this research are to (1) investigate the use of mordenite as the isomerization-promoting part of a bifunctional reforming catalyst and (2 ) develop a mathematical model for the simulta neous dehydrogenation and isomerization of cyclohexane from the experi mental data on this catalyst over a wide range of conditions. The experimental data presented in this chapter have been obtained in a 113 with permission of the copyright owner. Further reproduction prohibited without permission. 114 fixed-bed integral reactor system which is discussed in Chapter III. A mathematical model for the dehydrogenation and isomerization of cyclo hexane has been developed in Chapter V and applied to the experimental data. The applicability of this model and the influence of catalyst composition on cyclohexane reactivity are examined in this chapter. Data from sixty-nine experimental runs are presented. B. Pore Diffusion and Bulk Mass Transfer Limitations 1. Diffusional Effects in Experimental Catalysis The kinetic equations derived in Chapter V for the solid catalyzed dehydrogenation and isomerization of cyclohexane were developed assuming that the pore diffusion and/or bulk mass transfer steps were not rate-controlling. This is equivalent to assuming that the concentration of the gaseous components seen by the catalytic surface is identical to that measured in the bulk gas phase. This assumption may not be correct for all experimental conditions due to the possible competition of the reaction rate on the catalyst surface with the natural transport rate of reactants and products to and from the surface. In general, either the assumption that pore diffusion and bulk mass transfer are not rate controlling must be proved valid experimentally or the rate equation(s) must be corrected for any positive influence of diffusional phenomena. In a system where a study of the surface kinetics is desired, it is generally preferable to eliminate diffusional phenomena as rate-control ling processes by adjustment of the system parameters rather than includ ing their influence in the rate equations. This philosophy is in keeping with the objectives of this investigation, and the following discussion will outline how pore diffusion and bulk mass transfer may be eliminated as rate controlling steps. Detailed reviews on the diffusion processes Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 115 in porous catalysts and their effect on reaction rates have been /Og\ Z O O \ presented by Wheeler and Weisz and Prater. The mass transport processes of interest in heterogeneous catalysis include diffusion of mass in the bulk fluid phase surrounding a catalyst particle and in the pore network of the catalyst. These events have been called interparticle and intraparticle transport, respec- (9) tively. Interparticle or bulk mass transfer is the transport of mass from the bulk fluid phase to the exterior surface of the catalyst particle. The total mass flux in bulk or ordinary mass transfer can be separated into a component resulting from ordinary molecular diffusion and a component resulting from bulk or convective transport.^ Frequently, bulk mass transport is described in terms of the film concept.The film concept assumes that mass transfer takes place across a laminar film at the fluid-solid interface by molecular diffusion under the influence of a concentration gradient. Where gas film resistance is /on 1 important, conversion will vary with changing gas flow rate. * Experimentally, the effect of film resistance can be determined by making a series of experimental runs at varying bulk gas velocities holding all other conditions constant. If gas film resistance is not controlling the reactant, conversion should remain the same at all gas flow rates. The limits of operation where gas film resistance becomes rate controlling is the point where conversion just begins to drop. Since heterogeneous catalysis is a surface phenomenon, porous catalysts having a high surface area per unit mass are frequently employed. In porous catalysts, the reaction extends to the interior surface; and the gross external area is generally a negligible fraction of the total effective interfacial a r e a . ^ ^ To reach this large Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 116 internal surface reactants and products must diffuse through the catalyst pore network. This phenomena is called intraparticle or pore diffusion transport. The availability and effectiveness of the interior catalyst surface depends on the size, shape, and permeability of the pore structure and upon the rate and nature of the reaction. ■ Amorphous, porous catalysts such as the Pt-Al2 03 catalyst employed in this investigation are characterized by a distribution of o (26) macropores which typically vary in' size between 10 and 10,000 A. Diffusion in the macropore network can be described by ordinary molecular /Qg\ diffusion or Knudsen diffusion depending on the macropore size. When a catalyst contains both amorphous and crystalline components such as a Pt-AlgC^ -mordenite, a binodal or macro-micropore distribution (26 291 results. ’ This resulting binodal pore distribution consists of a micropore network within each of the particles of the crystalline material plus a macropore structure formed by the passageways around the crystal line material and in the amorphous material. Depending on the crystalline O zeolite employed, micropore diameters may range typically from 3 to 10 A. O Micropore diameters for mordenite are usually about 5 to 7 A. Unlike the macropore network, a distribution of sizes does not occur for the micro pore structure since all of the fine channels in the crystallites are the same size. Diffusion in the micropores can be described by surface diffusion which has characteristics of both adsorption and ordinary diffusion. A typical binodal pore size distribution is illustrated in Figure 11. Several zeolites in addition to mordenite are shown in Figure 11 with a typical macropore distribution being represented by activated carbon. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 117 LEGEND (a) Molecular sieve type 3A (b) Molecular sieve type 5A (c) Mordenite (d) Molecular sieve type 13X (e) Typical activated carbon 100 CO a) M o o u c tv u M 0) (u 1 5 10 50 100 500 1000 5000 10,000 o Pore Diameter, A . /OA\ Figure 11. The Binodal Pore Size Distribution. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 118 Experimentally, pore diffusion can never be studied alone since (22) it is not in series with the chemical reaction step. As mentioned previously, pore diffusion is a function of the catalyst geometry and nature of the reaction. Diffusion in porous catalysts may be investi gated by either changing pore length or pore width and observing the rate (17 22) of reaction. * An increase in the pore width or a decrease in the pore length makes the interior surface more accessible and should speed up the reaction rate if pore diffusional effects are present. Conversely, if it should be found in such an investigation that the activity of the catalyst does not depend on pore width or particle size, the conclusion can be drawn that pore diffusional effects are absent. A change in particle size for a catalyst such as Pt-ALjOg-mordenite changes the macropore length but does not affect the micropores. The only way to investigate diffusion in the micropores is to vary the crystal size, if variable crystal sizes are available. Investigation of pore diffusional effects in this research was limited to the macropores since variable mordenite crystal sizes were not available. If diffusion in the micro pores is significant, then its effect is included in the overall reaction rate. The effect of pore diffusion may be accounted for in the rate (32) equation by the effectiveness factor which was developed by Thiele (2) and later studied by Aris. The effectiveness factor is defined as the ratio of the average rate of reaction within a pore to the maximum reaction rate if pore diffusion is absent.Carberry^^’^ has studied the influence of nonisothermal conditions on the effectiveness f a c t o r ^ ^ and has developed a micro-macro effectiveness f a c t o r ^ ^ for reversible first order reactions over catalysts with a binodal pore Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 119 distribution. Very fast reactions such as the solid catalyzed dehydro genation of cyclohexane to benzene may be accompanied by significant (34) pore diffusion effects. Weisz and Swegler studied the dehydrogena tion of cyclohexane over a chromia-alumina catalyst and found that the ratio of cycloliexene to benzene was dependent on catalyst particle size. (4) Barnett et al studied the dehydrogenation of cyclohexane to benzene over a platinum-alumina catalyst and a wide range of experimental conditions. Pore diffusional limitations were encountered and the data were correlated with an effectiveness factor model. 2. Search for Operating Conditions-Pore Diffusion and Mass Transfer Limitations One of the early experimental phases of this investigation was concerned with the determination of suitable operating conditions for the dehydrogenation and isomerization of cyclohexane over the Pt-AlgOg- mordenite catalyst. Although the initial operating conditions could be chosen more or less arbitrarily, typical operating ranges for commercial catalytic reforming can serve as a good guide. Temperatures employed in modern catalytic reforming processes are typically between 85CP and /io\ 975°F. Higher temperatures cause excessive hydrocracking and lower temperatures are generally unfavorable from an equilibrium viewpoint. Pressures in catalytic reforming may vary from 200 psig to 600 psig depending on whether regeneration of the catalyst is frequent or (13) infrequent. Higher pressures are unfavorable due to equilibrium limitations as well as a tendency to promote undesirable hydrocracking reactions. Very low pressures can lead to rapid catalyst deactivation through increased coke deposition. The conditions used for naphtha reforming over the Pt-Al^Og-mordenite catalyst described in the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 120 Standard Oil Company of Indiana Patent example were 9O0PF and 250 /OQ) psig. Hydrogen to fresh feed molar diluent ratios in commercial (13) reforming processes are generally between five and eight. Low hydrogen recycle rates are avoided because of increased coke deposition on the catalyst. High hydrogen recycle rates cause the equilibrium yield of aromatics to change unfavorably but this effect is small and (13) high hydrogen recycle rates may be used for high boiling feedstocks. No generalizations can be made with respect to space velocity or contact time. The effects of space velocity and temperature are to some extent interchangeable, and the space velocity chosen will depend on activity of the catalyst and severity desired. Using the aforementioned operating ranges as a guide, a tem perature of 900Pf and a pressure of 225 psia were chosen for the initial experimental work on cyclohexane over the Pt-Al3 03 -mordenite catalyst. In this and all subsequent work, a hydrogen diluent ratio in the order of 20 moles Hg per mole cyclohexane was used. This high hydrogen diluent ratio was chosen so that volume changes are minimized and constant volume can be assumed. A discussion of the assumption of constant volume and its effect on the rate equations for the dehydrogenation and isomerization of cyclohexane can be found in Chapter V. The initial exploratory data obtained on cyclohexane over, the Pt-ALgOg-mordenite catalyst at 900PF and 225 psia are shown in Table 7. The space time was varied between 1.07 and 3.22 gm cat-min/gm feed and all other conditions except superficial gas velocity were kept constant. The space time-cyclohexane conversion data in Table 7 do not appear to be consistent, in that cyclohexane conversion does not increase smoothly with increasing space time. As far as runs 8D and 8B are concerned, an Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 121 Exploratory Data for Cyclohexane over the Pt-Al2 03 - Table 7. Mordenite Catalyst at. 90CPf and 225 psia Operating Conditions Feed Cyclohexane Catalyst Pt-Al^Og -mordenite Catalyst Particle Size, irrni 0.147-0.833 Temperature, °F 900 Pressure, psia 224.7 Mole Ratio, Hg /cyclohexane ~ 2 0 * Experimental Results Superficial Cyclohexane Space Time, 0 Gas Velocity Conversion Run No. gm cat-min/gm feed cm/sec Wt. % 7A 1.07 5.3 37.1 8C 1.61 8/5 51.0 8D 1.61 8.5 50.2 7B 1.77 3.2 44.6 8B 2.14 6.4 40.4 7C 2.67 2.1 54.4 9A 3.19 6.4 91.8 8A 3.22 4.2 73.5 Detailed run data are given in Appendix B. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 122 increase in space time actually causes a decrease in cyclohexane conver sion. The data seem to be correlated with superficial gas velocity in addition to space time, indicating that mass transfer is rate-limiting. The effect of gas velocity on conversion seems to be more pronounced at high conversion levels than at low conversion levels. For example, at a space time of 1.7 gm cat-min/gm feed a large change in velocity produces only a small change in cyclohexane conversion while at a space time of 3.2 gm cat-min/gm feed a small change in gas velocity causes a large change in conversion. The dependence of the degree of mass trans fer limitation on cyclohexane conversion level can be seen more easily in Figure 12 which is a crossplot of the data in Table 7. Figure 12 is a plot of cyclohexane conversion versus superficial gas velocity with lines of constant space time. Figure 12 clearly shows that at these conditions cyclohexane reactivity over the Pt-Algt^ -mordenite catalyst is severely mass transfer limited at high levels of conversion or space time. The dependence of conversion on velocity at constant space time, however, seems to disappear at low conversion levels. These data indi cate that at a space time of about 1.0 gm cat-min/gm feed the reaction is no longer mass transfer limited. An evaluation of the mass transfer effect at low conversion levels was obtained by making a series of experimental runs over the Pt-ALj03 -mordenite catalyst at 900PF, 225 psia and a constant space time (1.07 gm cat-min/gm feed) with varying superficial gas velocity. These data are summarized in Table 8 and plotted in Figure 13. The relative constancy of cyclohexane conversion with increasing superficial gas velocity indicates that mass transfer is not limiting at this level of space time. If fluid to particle mass transfer had been rate Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 123 Runs 7,8,9 100 0=3.2 0= 2.0 0= 1.0 ' — -G 4 8 12 16 Reactor Velocity, cm/sec Effect of Cyclohexane Conversion Level on the Degree Figure 12. of Bulk Mass Transfer Limitation for the Exploratory Data on the Pt-AL,0, -Mordenite Catalyst at 900°F and 225 psia. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 124 Test for Mass Transfer Limitations at Low Cyclohexane Table 8 . Conversion Levels over the Pt-AlgOg -Mordenite Catalyst at 90CPF and 225 psia. Operating Conditions Feed Cyclohexane Catalyst Pt-Alg03 -Mordenite Catalyst Particle Size, tmn 0.147-0.833 Temperature, °F 900 Pressure, psia 224.7 Space Time 0, gm cat-min/gm feed 1.07 Mole Ratio, Hj/cyclohexane ~ 2 0 * Experimental Results Superficial Gas Cyclohexane Run No. Velocity, cm/sec Conversion, % 7A 5.3 37.1 10A 6.8 38.7 10B 6.8 38.7 13A 8.5 39.7 •At Detailed run data are given in Appendix B. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 9.0 8.0 7.0 6.0 Reactor Velocity, cm/sec Runs 7A,10,13A 5.0 20 60 40 >> c o u > u o Test Mass for TransferLimitations Lowat Cyclohexane ConversionLevels over the ure ure • pt-AlgOa-Mordenite and 225 psia. Catalyst at 90(f>F 8 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 126 limiting, the high velocity run should have given a significantly higher conversion. The particle size range of the Pt-AlgOg-mordenite used for the mass transfer study at 900PF, 225 psia, and low space time was 0.147- 0.833 mm. To investigate the effects of a smaller particle size and possible pore diffusion limitations at these conditions, a 0.147-0.351 mm Pt-ALgOg-mordenite was used for cyclohexane dehydrogenation and isomerization at 900PF, 225 psia, and low 0. These results are shown in the first two runs (10A and 14A) of Table 9. This small decrease in particle size causes the cyclohexane dehydrogenation rate constant to increase by a factor of seven while the cyclohexane isomerization rate constant is approximately doubled. These data indicate that this system is severely pore diffusion limited at these conditions. Severe pore diffusion limitations can sometimes be overcome by appropriate reductions in particle size or reaction temperature. Condi tions must be selected where the diffusional resistance is unimportant relative to the resistance of the chemical reaction. The data on the Pt-ALjOg -mordenite at 90CPF and 225 psia indicate that cyclohexane conversion is severely pore diffusion limited. A change in reaction temperature seemed in order so that the surface reaction step could be slowed down relative to the pore diffusional process. A corresponding reduction in pressure was also necessary so that a favorable equilibrium for dehydrogenation could be maintained. The second part of Table 9 (runs 14B and 15A) shows the experimental data from two particle size runs with cyclohexane over the Pt-Al2 03 -mordenite catalyst at 80CPF and 85 psia. All conditions except particle size range were held con stant in these runs. These data at 800PF show that there is a Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 127 Ks 0.00487 0.00706 0.00500 0.00564 0.00260 Isomerization Rate Constant, ki 0.02263 0.04309 0.00461 0.03522 0.00563 gm mols/gmgm cat-atm-min Dehydrogenation 1.07 2.1 ~20 Cyclohexane Pt-AlgOg -Mordenite Pt-AlgOg 68.7 56.2 0.03089 47.0 92.1 38.7 Conv., % Cyclohexane Size, Size, mm Catalyst 0.074-0.147 0.074-0.147 0.147-0.351 0.147-0.351 0.147-0.351. 49.1 0.02229 0.147-0.833 224.7 psia Pressure, /cyclohexane \ °F 750 84.7 750 84.7 800 84.7 800 84.7 900 224.7 Temperature, Detailed run data are givenAppendix in B. Effect Catalystof Particle Size on Cyclohexane Dehydrogenation and Isomerization Rate Constants for Pt-Al^-Mordenite the Catalyst. Space Time 9, gm cat-min/gm feed Reactor Gas Velocity, cm/sec Catalyst Mole Ratio, Feed 15B 15A 16A 14B 10A 14A 900 ExperimentalResults Operating Conditions RunNo. Table 9. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 128 significant increase in both rate constants by going from 0.147-0.351 mm to 0.074-0.147 mm particles. As at 9QCPF, these data show that pore diffusional limitations exist for cyclohexane dehydrogenation and isomer ization over Pt-AlgOg-mordenite at 800PF and 85 psia. The experimental results of a second reduction in temperature to 75CPF are shown in the third part of Table 9 (runs 16A and 15B). These data at 75GPF and 85 psia show no real positive effect on the rate constants by decreasing the Pt-AlgC^ -mordenite particle size from 0.147-0.351 mm to 0.074-0.147 mm. It can be concluded from these results that macropore diffusion is not rate limiting for cyclohexane over the Pt-ALgOa -mordenite catalyst at 75GPF and 85 psia. The experimental data on cyclohexane dehydrogenation and isomerization over the Pt-ALgC^-mordenite catalyst show that macropore diffusion becomes rate controlling somewhere between 750° and 800PF when using 0.147-0.351 mm particles. This particle size range is significant because it is about the smallest particle size range that can be handled conveniently. Smaller particle size ranges are difficult to handle with out dust formation and subsequent catalyst loss. A great deal of the experimental work in this investigation on cyclohexane dehydrogenation and isomerization is performed at constant temperature. This constant temperature at which variations in space time, total pressure, and partial pressure are made can be called the base case temperature. Although 75CPF could be safely chosen for the base case temperature, 7 7 ^ F is a better choice from the standpoint of a more favorable cyclo hexane dehydrogenation equilibrium. The equilibrium yield of benzene from cyclohexane dehydrogenation decreases with decreasing temperature and increasing total pressure. Since a wide variation in pressure is Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 129 desirable for studying the reaction kinetics, the higher temperature of 775°F allows the favorable dehydrogenation equilibrium to be maintained over a wider range of pressure. The reaction equilibria between cyclo hexane, benzene, and methylcyclopentane at 75(P and 775°F as a function of pressure is given in Table 10. The equilibria in Table 10 were calculated using the equilibrium constants calculated from free energy data and assuming ideal gas behavior. The choice of 775°F as the base case temperature for the kinetic study of the dehydrogenation and isomerization of cyclohexane over the Pt-Al2 03 -mordenite catalyst cannot be made arbitrarily. The data show that pore diffusion ceases to become rate limiting somewhere between 750P and 80CPF. There are no assurances that this transformation does not occur between 750P and 775°F. For this reason, tests for mass transfer and pore diffusional limitations were made at 775°F and 85 psia for the dehydrogenation and isomerization of cyclohexane. These results are discussed in the next two sections of this chapter. C. Test for Mass Transfer Limitations at 775?F and 85 psia - Pt-A12 Q3 - Mordenite Catalyst The effect of mass transfer on the dehydrogenation and isomerization of cyclohexane over the Pt-Al^Og-mordenite catalyst at 775°F and 85 psia was evaluated by making a series of experimental runs with varying gas velocities. Other experimental conditions such as space time, catalyst particle size, and hydrogen diluent ratio were held constant. These runs are summarized in Table 11 and the rate constants are plotted against superficial gas velocity in Figure 14. The experimental data presented in Table 11 and Figure 14 show no consistent positive trend in the reaction rate constants or cyclohexane conversion with increasing superficial gas velocity. Although there is Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 130 Equilibrium Composition of the Cyclohexane-Benzene- Table 10. Methylcyclopentane System as Determined from Free Energy Data. Temperature, Pressure, Equilibrium Mole Fraction______psia Cyclohexane Benzene Methylcyclopentane 750 50 0.004 0.920 0.076 100 0.035 0.600 0.365 150 0.064 0.316 0.620 200 0.089 0.161 0.750 775 50 0.004 0.961 0.035 100 0.026 0.757 0.211 150 0.055 0.482 0.464 200 0.076 0.283 0.642 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 131 84.7 775 ~ 2 0 Rl Rl Rn 0.04873 0.03617 0.00836 0.00654 0.04450 0.04706 0.00579 0.00756 0.147-0.351 Cyclohexane Dehydrogenation Isomerization Pt-Al^Oa -Mordenite Pt-Al^Oa Rate Constant, gmmols/gm cat-atm-min % 50.7 6.86 3.14 56.7 5.30 60.7 4.16 59.6 cm/sec Conv., mm , , Superficial Gas Velocity Cyclohexane * Space Time, 9 Catalyst Particle Size Temperature, °F Pressure, psia Catalyst Mole Ratio /cyclohexane Feed * and Isomerization over Pt-Al^Oa-Mordenite the Catalyst. 6 Detailed run data are given Appendix in B. Experimental Results Operating Conditions 18A 18A 0.766 21A 0.765 22A 23A 0.766 0.766 No. No. gm feed Run gm cat-min/ . . .. Test Mass for TransferLimitations at 775?F and psia85 Cyclohexane- Dehydrogenation 3 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 132 LEGEND Dehydrogenation, kx Q Isomerization, kg A 0.05 0.04 E 4J 0.03 03I C B i 4-» u 0.02 I(0 H o B E 6 0 ft £ M O 0.01 0.009 0.007 0.005 3.0 5.04.0 6.0 7.0 Velocity, cm/sec Test for Mass Transfer Limitations at 775°F and 85 psia- Figure 14. Cyclohexane Dehydrogenation and Isomerization over the Pt-Al3 03 -Mordenite Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 133 more variability in this particular set of experimental data than is generally desired, the conclusion that mass transfer is not rate limiting is the only one that can be reached that is consistent with the experi mental data. If bulk mass transfer had been rate limiting for the Pt- AlgOg —mordenite catalyst, the high velocity run would have shown a significantly higher cyclohexane conversion than was observed at the lower gas velocities. On the basis of these experimental data, it is concluded that bulk mass transfer to the Pt-Alg03 -mordenite surface is not rate controlling for cyclohexane dehydrogenation and isomerization at 775°F and 85 psia and the range of gas velocities investigated. The Pt-Alg03 catalyst was not examined for possible mass transfer limitations in cyclohexane dehydrogenation and isomerization. On the basis of the data obtained for the Pt-Alg03 -mordenite catalyst, it was assumed that the Pt-Alg03 catalyst would also show no mass transfer limitations at these experimental conditions. D. Test for Pore Diffusion Limitations at 775°F and 85 psia - Pt-AL,0B - Mordenite and Pt-AlgOg Catalysts Once it has been shown that bulk mass transfer contributes a negli gible resistance to the overall reaction rate, the effect of possible pore diffusion limitations must be investigated. The effect of pore diffusion on cyclohexane dehydrogenation and isomerization reaction rates has been determined for both catalysts by changing catalyst particle size with all other conditions held constant. For a completely amorphous material such as the Pt-Al^Os catalyst, a variation in particle size provides a complete test for possible pore diffusional limitations. As was pointed out previously, a variation in catalyst particle size for a material containing a crystalline component such as the Pt-AlgOg-mordenite Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 134 catalyst gives information only on diffusion within the macropores. Since it was not possible to vary the mordenite crystallite size, any diffusional limitations imposed by the micropore structure would be included in the overall reaction rate. The effect of macropore diffusion in the Pt-Alg03 -mordenite catalyst at 775?F and 85 psia was examined by making experimental runs with cyclo hexane over four different contiguous size ranges of catalyst. The size ranges examined for the Pt-AlgOg-mordenite catalyst were 0.833-1.397 mm, 0.351-0.833 tnrn, 0.147-0.351mm, and 0.074-0.147 mm. All process variables except particle size were kept constant in these experimental runs. The experimental results that were obtained from this study are presented in Table 12. Figure 15 shows a plot of the dehydrogenation and isomeri zation rate constants as a function of average particle diameter of the Pt-AlgOg-mordenite. It is readily apparent from Table 12 and Figure 15 that the dehydrogenation and isomerization of cyclohexane over the Pt- ALjOg-mordenite at 775°F is pore diffusion limited at large particle sizes. A change in the particle size range from 0.833-1.397 mm to 0.147-0.351 mm causes the dehydrogenation rate constant to undergo a fourfold change while the isomerization rate constant is tripled. A further reduction in catalyst particle size range to 0.074-0.147 mm, however, causes no positive change in the rate constants or cyclohexane conversion. It must be concluded, therfore, that at 775°F macropore diffusion is rate controlling for this system at particle size ranges larger than 0.147-0.351 mm. It can also be concluded that at 775°F macropore diffusion in the Pt-AlgOg-mordenite contributes a negligible resistance to the overall reaction rate at a particle size of 0.147- 0.351 mm or smaller. All further experimentation with cyclohexane on the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 135 0.00801 0.00267 0.00836 0.00302 0.77 84.7 775 ~ 2 0 Cyclohexane - Cyclohexane- Dehydrogenation Pt-ALgOg -Mordenite Pt-ALgOg k-i k-i Ka 0.04393 0.00999 0.03064 0.04873 Dehydrogenation Isomerization Rate Constant, mols/gm gm cat-atm-min * 7o 57.0 20.4 42.6 Conv., Conv., Cyclohexane * Catalyst Size Detailed run data are givenAppendix in B. Space Time 0, gm cat-min/gm feed Pressure, psia Catalyst Temperature, °F Mole Ratio, Hg/cyclohexane Feed 17A 0.074-0.147 25A 0.351-0.833 •k 24A 0.833-1.397 ‘ and Isomerization over Pt-Al^Og-Mordenite the Catalyst. Experimental Results • • 18A 0.147-0.351 60.7 Run No. tnm , Range 6 Operating Conditions a a T ble 12 ^est Pore f°r DiffusionLimitations at 7 7 ^ F and 85 psia Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 136 ______LEGEND______Dehydrogenation, k: O Isomerization, kg A 0.05 0.04 0.03 0.02 «o u o B 00 co o B 0.01 B 00 0.008 Vl o 0.006 r~< 0.004 0.1 0.2 0.4 0.8 1.0 Average Particle Diameter, mm Test for Pore Diffusion Limitations at 775°F and 85 Figure 15. psia - Cyclohexane Dehydrogenation and Isomerization over the Pt-Alg03 -Mordenite Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 137 4 Pt-AlgOg -mordenite catalyst was performed at temperatures of 7 7 ^ F or less and a particle size range of 0.147-0.351 mm. These restrictions assured that no pore diffusional limitations would be encountered. The effect of particle size on cyclohexane reaction rate at 775?F and 85 psia was also evaluated for the Pt-ALg03 catalyst. Four contiguous particle size ranges were studied and all experimental con ditions except Pt-AlgOg catalyst particle size were kept constant. The experimental data from these runs are given in Table 13 while Figure 16 shows a plot of the dehydrogenation rate constant versus average particle diameter. These data on the Pt-AlgOg catalyst indicate that cyclohexane dehydrogenation is pore diffusion limited at all of the particle size ranges investigated. Furthermore, since the dehydrogenation rate con stant shows no tendency of leveling off even at the smallest particle size investigated (0.044-0.074 mm), it must be assumed that the particle size at which pore diffusion is not rate controlling is very small. The rate constants in Table 13 indicate that the isomerization of cyclo hexane to methylcyclopentane over the Pt-AlgOg catalyst is practically non-existent. Although finite isomerization rate constants were obtained for all of the runs in the Pt-AlgOg particle size study the mole fraction of methylcyclopentane in the product was less than 0.01 for all of the runs. The constancy of the cyclohexane isomerization rate constants for the Pt-AlgOg catalyst with decreasing particle size in Table 13 indicates that the isomerization reaction over this catalyst is not pore diffusion limited at any of the particle sizes investigated. The smallest particle size investigated for the Pt-AlgOg catalyst was 0.044-0.074 mm which corresponds to a screen size of 200-325 mesh. Catalyst particles in this size range are very difficult to handle and Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 138 0.00045 0.00042 0.00118 0.00040 0.00037 0.00051 3 0.55 84.7 775 ~ 2 0 Pt-AL,0 Cyclohexane gm mols/gmgm cat-atm-min - Cyclohexane- Dehydrogenation 0.1061 0.09159 0.06408 0.05946 0.05101 0.01637 Dehydrogenation Isomerization Rate Constant, at 775? F and psia 85 at 775? Catalyst. 66.1 53.9 71.4 50.9 18.7 44.3 Conv., Conv., % Cyclohexane * Catalyst Size Detailed run data are given Appendix in B. Space Time, 9, gm cat-min/gm feed Catalyst Temperature, °F Mole Ratio, Hg/cyclohexane Pressure, psia Feed 39A 0.044-0.074 38A 40A 0.074-0.147 0.044-0.074 37A 0.074-0.147 36A 0.147-0.351 43A 0.351-0.833 Run No. Range, mm Experimental Results Operating Conditions ' and Isomerization over P the t - A L ^ 6 . - - . Test Porefor DiffusionLimitations 3 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 139 0.20 0.10 JJ 0.05 60 60 0.02 0.01 0.05 0.1 0.2 0.4. 0.6 Average Particle Diameter, mm Test for Pore Diffusion Limitations at 775°F and 85 ■Figure 16. psia - Cyclohexane Dehydrogenation and Isomerization over the Pt-Al2 03 Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 140 cause high reactor pressure drop. For these reasons, Pt-A]g03 particle sizes smaller than 0.044 mm were not investigated. The difference in behavior for the Pt-Alg03 -mordenite and the Pt- AlgOg catalysts for cyclohexane dehydrogenation and isomerization can be partly explained in terms of differences in composition of the two catalysts. Examples of the cyclohexane dehydrogenation and isomerization rate constants for these two catalysts at the smallest particle sizes investigated are shown below. Rate Constant @ 775°F, 85 psia, gm moles/gm cat-atm-min Particle Size Dehydrogenation Isomerization ______Catalyst_____ mm______kj______kg__ Pt-AlgOg-mordenite 0.074-0.147 0.04393 0.00836 Pt-AlgOg 0.044-0.074 0.09159 0.00045 The cyclohexane isomerization reaction rate has been shown to be indepen dent of particle size for each catalyst in this particle size region and hence not limited by macropore diffusion. A ratio of the isomerization rate constants for the two catalysts shows that the Pt-Alg03 -mordenite catalyst is approximately eighteen times as active for isomerization of cyclohexane as the Pt-Alg03 catalyst. The ammonia chemisorption data presented in Chapter IV for these two catalysts showed that the mordenite was approximately twelve times more acidic than the halogen-free alumina. Comparison of the isomerization activity ratio and the relative acidities of the two catalysts demonstrates that isomerization promoting ability is directly related to the degree of acidity. It is especially significant to note that this isomerization promoting ability in a bifunctional reforming catalyst may be supplied by the addition of a small quantity of a crystalline zeolite. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 141 Another difference in behavior of the two catalysts is their rela tive ability to promote cyclohexane dehydrogenation. Although the Pt~ Alg03 catalyst is pore diffusion limited at 775PF, it is approximately twice as active for dehydrogenation as the Pt-AlgOg -mordenite which is not pore diffusion limited. The platinum concentrations of both cata lysts are quite close and both catalysts are derived from the same alumina base. On the basis of these composition similarities, it might be expected that these catalysts would show relatively close dehydro genation activities. The lower dehydrogenation activity exhibited by the Pt-AlgOg-mordenite may indicate that the mordenite addition has unfavorably modified some of the metal sites causing this catalyst to be less active for dehydrogenation. Catalyst manufacture is still, to some extent, an art and duplication of catalysts is sometimes difficult even in the most carefully controlled preparations. E . Reproducibility of the Experimental Data on the Pt-AljO^-Mordenite Catalyst at 775?F and 85 psia A knowledge of data reproducibility in an experimental study is helpful in deciding whether or not observed trends in the data are statistically significant. During the course of the experimental inves tigations on cyclohexane dehydrogenation and isomerization over the Pt-AlgOg-mordenite catalyst, several runs were periodically repeated at a constant set of conditions. These runs not only provided data for calculation of statisitcal information but ensured that the basic cata lyst activity and equipment calibrations had not shifted. Table 14 gives the experimental results for the six reproducibility runs with cyclohexane over the Pt-AlgOg-mordenite catalyst at 775°F and 85 psia. All experimental conditions for these runs were held relatively Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 142 ks 0.00881 0.00871 0.00750 0.00743 0.00746 0.00760 cat-atm-min at 775? F at 775? 84.7 -Mordenite 775 775 ' 3 ~ 2 0 0.147-0.351 Cyclohexane Pt-A1^0 fc, 0.03670 0.04185 0.04270 0.04862 0.04370 0.04988 Dehydrogenation Isomerization Rate Constant, mols/gm gm y« 0.080 0.084 0.070 0.069 0.067 0.068 Fraction • b Y * gm cat-min/ ProductMole Space Time, 9 and psia. 85 Reproducibility of Experimentalthe Data on Pt-ALgOj-Mordenitethe Catalyst Catalyst Catalyst Size Range, min Temperature, °F Mole Ratio, Hj/cyclohexane Pressure, psia Feed Detailed run data are givenAppendix in B 33D 0.551. 0.349 33A 0.551 0.386 28C 28C 0.547 0.438 35A 0.552 0.407 41G 0.551 0.399 28A 0.547 0.444 Run No. gm feed Experimental Results Operating Conditions oe i 6 TclDl Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 143 constant and five of the runs represented different catalyst batches. The data show some variability, but it is not excessive for data obtained on solid catalyzed reactions. The first five runs in Table 14 (28A-33A) show good reproducibility in the product mole fractions and rate constants. The last run in Table 14 (33D) is somewhat separated from the rest of the data and may represent catalyst deactivation or an error in product analysis. The data in Table 14 were used to calculate the mean values and standard deviations of the rate constants and product mole fractions. These statistical parameters are presented in Table 15. In addition, the standard deviation as a percentage of the mean value for each parameter is also shown. These percentage standard deviations for all of the parameters are between 7 and 10%. The standard deviations calculated for these runs seem to be perfectly reasonable for the type of data obtained. F. Test of the Reaction Model for the Dehydrogenation and Isomerization . of Cyclohexane - Pt-AL,0,,-Mordenite Catalyst at 775?F and 85 psia In Chapter V of this investigation, a kinetic model for the simul taneous, reversible dehydrogenation and isomerization of cyclohexane was developed. This model assumed that the surface reactions were rate controlling and that the dehydrogenation and isomerization steps were first order in both directions. The kinetic model was developed for constant temperature and it was also assumed that the simplified rate constants were independent of composition and that hydrocracking of cyclohexane was negligible. Simultaneous solution of the kinetic rate equations yielded two non-linear equations which expressed the outlet concentrations of benzene and methylcyclopentane as functions of the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. . ♦ ♦ 0.000598 7.55 0.0060 0.00438 8.23 9.96 0.032 7.92 Standard Standard Deviation, Deviation Mean of 7» calculated from the data y„' y„' 0.073 yB' yB' 0.404 Measured or Calculated Variable MeanValue in Table in 14. Statistical parameters in this table are kg, kg, mols/gm gm cat-atm-min 0.00792 kx, kx, mols/gmgm cat-atm-min 0.04391 , . . , StatisticalParameters Calculated from Reproducibilitythe Study on the Table 15. .* _Mordenite Catalyst Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 145 rate constants, space time i»d process variables: yg = f (kj, kg, 0 , process variables) (1) yH = S (^i> ^2 > 0 > process variables) (2) where yB' = outlet mole fraction benzene on a hydrogen-free basis, yH' = outlet mole fraction methylcyclopentane on a hydrogen- free basis. An optimization technique was applied to equation (1) and (2) so that the rate constants could be solved for, given the outlet composition, space time and other process variables. The validity of the kinetic model for the assumed reaction order may be examined by varying the space time at constant temperature, pressure, and hydrogen diluent ratio. The rate constants obtained from a variation in space time at constant temperature and pressure should remain relatively constant since they are not functions of the space time. The validity of a kinetic model for simple first order unimolecular reactions may also be examined by plotting the experimental data in such a way that a linear relation should result if the assumed model is applicable. Unfortunately, the integrated rate equations that result from complex reactions may be of such a form that it is impossible to plot a function of the composition versus the space time so that a linear relation is obtained if the assumed model is applicable. This restriction in complex reactions may be circumvented by plotting the experimental composition data versus space time and comparing to a reaction model curve generated by varying space time and using the average values of the rate constants. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 146 The validity of the kinetic model for cyclohexane dehydrogenation and isomerization over the Pt-ALgOg-mordenite catalyst was tested by varying space time with all other conditions held constant. Thirteen experimental runs were made at 775PF, 85 psia, and 20 moles Hg/mole cyclohexane feed. The space time was varied over a tenfold range ranging from 0.184 to 1.521 gm cat-min/gm feed. The product composition and calculated rate constants for each of these runs are shown in Table 16. The cyclohexane conversion ranged between 21.9 and 78.0 wt. %. The degree of hydrocracking for all of the experimental runs shown in Table 16 was less than 1.5 wt. % which can be considered negligible. The dehydrogenation rate constants shown in Table 16 all fall within the range of 0.037 to 0.054 gm moles/gm cat-atm-min. The majority of the dehydrogenation rate constants (8), however, fall in the range of 0.042 to 0.050 gm moles/gm cat-atm-min. The mean value of the dehydro genation rate constant for these thirteen runs was 0.0453 gm moles/ gm cat-atm-min and the calculated standard deviation was 1 1 .6% of the mean. The percentage standard deviation calculated for the dehydro genation rate constant in previously discussed reproducibility study was 10.0%. These two values for the standard deviation of the dehydro genation rate constant are close enough so that the variation in kj may be attributed to experimental error. The isomerization rate constants shown in Table 16 all fall within the range of 0.00546 to 0.00881 gm moles/gm cat-atm-min and the value of the isomerization rate constant for run 31A seems to be inordinately low. The mean value for the isomerization rate constant was 0.00750 gm moles/gm cat-atm-min and the calculated standard deviation for all of the runs was 12.6% of the mean. As pointed out previously, the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 147 k* 0.00743 0.00881 0.00871 0.00750 0.00546 0.00631 0.00756 0.00617 0.00760 0.00830 0.00801 0.00836 Isomerization 84.7 775 ~ 2 0 mols/gm cat-atm-min 0.147-0.351 Cyclohexane Pt-AlgOg -Mordenite Pt-AlgOg h, 0.04370 0.04274 0.03670 0.03931 0.048620.05398 0.00746 0.04706 0.05339 0.03890 0.04988 0.04393 0.04873 Dehydrogenation Rate Constant, gm y« 0.069 0.084 0.070 0.080 0.04185 0.035 0.061 0.023 0.085 0.108 0.068 0.090 yB ' 0.399 0.349 0.386 0.252 9.394 0.200 0.438 0.067 0.444 0.493 0.530 0.091 * SpaceTime ProductMole 9, 9, gm cat-min/ Fraction Test of Reactionthe Model for Dehydrogenationthe and Isomerization Cyclohexaneof - Detailed run data are given Appendix in B Catalyst Size Range, mm Temperature, °F Catalyst Pressure, psia Mole Ratio, /cyclohexane Feed Experimental Results Operating Conditions 30A 0.184 35A 0.552 0.407 33D 0.551 41G 0.551 33A 0.551 31A 0.330 18A 18A 0.766 28C 28C 0.547 23A 0.766 0.527 27A 28A 1.521 0.547 0.671 17A 0.766 28B 0.438 Run No. gm feed a a e ' Variation of Space Time over Pt-Al^Og-Mordenite the Catalyst at 775PF and 85 psia. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. isomerization rate constant for run 31A seems to fall outside of the general population. If run 31A is excluded, the percentage standard deviation of the isomerization rate constants for the remaining twelve runs drops to 10.4%. The percentage standard deviation calculated for the isomerization rate constant in the reproducibility study was 7.6%. Although these two standard deviation are more widely separated than those for the dehydrogenation rate constant, it is felt that they are close enough so that the scatter in the isomerization rate constant can be attributed to experimental error. The range of allowable methylcyclo pentane compositions at these conditions is rather narrow and limited by equilibrium to a mole fraction of 0.147 methylcyclopentane. The runs in the reproducibility study were made at an intermediate space time with the mean methylcyclopentane mole fraction being 0.073 (see Table 15) . The majority of the scatter in the isomerization rate constant shown in Table 16 occur at methylcyclopentane concentrations which are very low or very close to equilibrium. If the reproducibility study on the isom erization rate constant had been performed closer to these two limiting conditions, it is highly possible that a standard deviation greater than 7 .6% would have been obtained. In addition to an examination of the constancy of the rate constants with varying space time, the validity of the kinetic model may also be examined graphically. Due to the complexity and extreme non-linearity of the integrated rate equations, there is no way to rearrange them so that functions of the experimental data may be plotted that are indepen dent of the rate constants. The experimental composition-space time data, however, may be plotted and compared to curves that are generated from the integrated rate equations by varying space time and using Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 149 average or best fit values of the rate constants. The generation of the theroretical composition-space time curves and their comparison to the experimental data is discussed in the following paragraphs. The first step in the generation of the theoretical curves from the integrated rates equations was the selection of values to be used for the reaction rate constants for the Pt-Alg03 -mordenite at 775°F and 85 psia. The integrated rate equations may be put in the form of residuals or Ri = f (1^ , kg, 0, process variables) - yB' (3) and ®3 = g (ki > hg > 9» process variables) - y„' (4) where Rx = residual difference between a predicted and an experi mental value of yj, Rg = residual difference between a predicted and an experi mental value of . The values of kx and kg that best fit a set of experiments data where only 0 varies can be found by minimizing a function § which is formed by summing the squares of the residuals for each data point. The problem can be formulated mathematically as m m minimize: $ = ^ x2 + Rls3 , (5) i=l i=l subject to: kx > 0 , kg > 0 where m is the number of data points considered. The values of and kg that minimize § are the best fit values. This least squares type technique was applied to the experimental data in Table 16 to find the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 150 values of kx and kg that best represented the data. The function $ was minimized by application of the pattern search method discussed in Chapter V. This proceedure yielded best fit values of kj and of 0.04484 and 0.00777 gm moles/gm cat-atm-min, respectively. These values are very close to the mean values of kx and kg from Table 16 of 0.0453 and 0.00750 gm moles/gm cat-atm-min, respectively. The theoretical model curves for the Pt-ALg03 -mordenite catalyst at 775^F and 85 psia were calculated from the integrated rate equations by using the best fit values of kx and kg and varying 0 . A comparison of the experimental composition-space time data from Table 16 and the model curves generated from the integrated rate equa tions is shown in Figure 17. The experimental y B', yH', data are plotted as single points. The curves shown in Figure 17 represent the artifi cially generated curves from the integrated rate equations. The agree ment between the reaction model curves and the experimental data is excellent over the total variation in space time. This agreement between the experimental data and the model generated curves confirms the validity of the reversible first order kinetic model developed for cyclo hexane dehydrogenation and isomerization. G . The Effect of Temperature on the Cyclohexane Dehydrogenation and Isomerization Rate Constants - Pt-AlaCh -Mordenite Catalyst A limited series of experiments were performed with cyclohexane on the Pt-AlgOg-mordenite catalyst to determine the effect of temperature on the simplified dehydrogenation and isomerization rate constants. Because of pore diffusional limitations on cyclohexane dehydrogenation and isomerization over the Pt-Alg03 -mordenite catalyst, temperatures above 775^F were not included in the temperature variation. Experimental Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 151 1.4 1.2 1.0 Curve MCP for ReactionModel ReactionModel Curve Benzene for 0.8 0.6 Space Time 0, gm cat-min/gm feed 0.4 LEGEND k, k, = 0.00777 0.2 for kx for kx = 0.04484 Exp. y„ Exp. y„ £ Exp. yB' Q Exp. yB' Model Curves generated 0.2 0.6 0.4 0.8 Variation of Space-Mordenite Time Catalyst over Pt-Al^Og at the 775°F and 85 psia. c o o JJ V5 Figure 17 Test Reaction the Model for Dehydrogenation the and Isomerization Cyclohexaneof - Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 152 runs were made at 85 psia and temperatures of 77iP , 75CP, and 724°F with all other process conditions being held constant. The experimental data and calculated reaction rate constants for these runs are shown in Table 17. The dehydrogenation rate constant varied from 0.02730 to 0.04274 gm moles/gm cat-atm-min while the isomerization rate constant varied from 0.00502 to 0.00743 gm moles/gm cat-atm-min over the temperature range. The temperature dependency of experimentally determined reaction rate constants has been found in practically all cases to be well (22) represented by the Arrhenius equation, k = , (6) where k = arbitrary reaction rate constant, k,j = frequency factor, E ® activation energy, R = gas constant, T = absolute temperature. If the Arrhenius equation is applicable, a plot of the logarithm of the rate constant versus the reciprocal of the absolute temperature should yield a linear relation. An Arrhenius plot of the cyclohexane dehydrogenation rate constants in Table 17 is shown in Figure 18. These data on the dehydrogenation rate constant appear to be well correlated with an Arrhenius type relationship. The activation energy for the dehydrogenation of cyclo hexane as determined from the slope of the Arrhenius plot in Figure 18 is 14.4 kcal/gra mole. Some reported activation energies for the dehydro genation of cyclohexane to benzene over various catalysts are shown in Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 0.551 84.7 ~ 2 0 ki 0.03435 0.02730 0.00637 0.00502 0.04274 0.00743 ■ 0.147-0.351 Cyclohexane Pt-AlgOg -mordenite Pt-AlgOg Rate Constant, mols/gm gm cat-atm-min m Y Product Ya Ya Mole Fraction Dehydrogenation Isomerization given Appendix in B 0.276 0.052 0.399 0.069 0.337 0.063 * Temperature, Detailed run data are 4IF 750 41H 724 41G 775 Rate Constants Pt-ALgC^-Mordenite- Catalyst at 85 psia Space Time 0, gm cat-min/gm feed Catalyst SizeRange, mm Catalyst Pressure, psia Mole Ratio, Hg/cyclohexane Feed Run No. °F Experimental Results Operating Conditions Table 17. T^e E^fect °f Temperature on Cyclohexanethe Dehydrogenation and Isomerization Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 154 Run Nos. 41F,G,H Ex=14.4 kcal/gm mole 0.06 k0 1 =1.66xlOP gm mole/ gm cat-atm-min 0.05 B i B cd i 4J 0.04 cdu B. o e a 0.03 0.02 8.1 8.2 8.3 8.4 8.5 10000/T(°R) The Effect of Temperature on the Cyclohexane Figure 18. Dehydrogenation Rate Constant - Pt-Al2 03 -Mordenite Catalyst at 85 psia. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 155 Table 18. Depending on the catalyst employed, these dehydrogenation activation energies range from 9.9 to 26.0 kcal/gm mole. The activation energies for platinum-alumina catalysts in Table 18 vary from 11.4 to 17.6 kcal/gm mole. The activation energy of 14.4 kcal/gm mole obtained in this investigation for cyclohexane dehydrogenation over a Pt-ALgOg- mordenite catalyst appears to compare favorably with reported values for similar catalysts. An Arrhenius plot of the cyclohexane isomerization rate constants in Table 17 is shown in Figure 19. These data on the isomerization rate constant also appear to be well correlated with an Arrhenius type relationship. The activation energy for the isomerization of cyclohexane as determined from the slope of the Arrhenius plot in Figure 19 is 12.5 kcal/gm mole. From the data discussed previously, it can be concluded that the cyclohexane isomerization reaction on the Pt-ALgOg -mordenite catalyst takes place almost exclusively on the mordenite component. (19) Hopper studied the isomerization of cyclohexane on structurally modified mordenites in the 50CP -67CPF temperature range and reported isomerization activation energies from 23.9 to 35.5 kcal/gm mole. In comparison, the isomerization activation energy of 12.5 kcal/gm mole found in this investigation appears to be low and could possibly repre sent a pore diffusional limitation due to the higher temperature employed. For the particle size used in this temperature study, it has been shown previously that mass transfer or macropore diffusion are not rate controlling at or below’ 775°F. If the low isomerization activa tion energy represents a pore diffusional limitation, then it must occur in the micropores of the mordenite crystallites. Since only one size of with permission of the copyright owner. Further reproduction prohibited without permission. 156 Reported Activation Energies for the Dehydrogenation a 8 ' o f Cyclohexane to Benzene. Activation Energy E Catalyst kcal/gm mole Investigator (37) Ni-Charcoal 9.9 Zelinskii and Balandin (27) P t - A l ^ 11.4 Popescu et al (3) Ni-ALjOg 13.6 Balandin and Rubinstein Pt-AL,03 15.2 Ritchie and Nixon^®^ (37) Pd-Charcoal 15.8 Zelinskii and Balandin Pt-ALjOa -Cl 16.5 P'ang et al^"*^ Ni-ZnO 17.0 Andreev et al^^ Pt-ALjOa -Cl 17.6 Bridges and Houghton^^ (37) Pt-Charcoal 18.7 Zelinskii and Balandin Crg O3 -AI3 O3 20 . 0 Bridges and Houghton^^ NiW04 -Al2 03 26.0 Bridges and Houghton^^ if Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 157 Run Nos. 41F,G,H 0.008 0.007 •rl 0.006 0.005 Eg = 12.5 kcal/gm mole ko2 = 72.4 gtn moles/gm cat-atm-min 0.004 8.1 8.2 8.3 8.4 8.5 10000/T(° R) The Effect of Temperature on the Cyclohexane Figure 19. Isomerization Rate Constant - Pt-Alg03 -Mordenite Catalyst at 85 psia. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 158 mordenite crystallites was available, it was not possible to investigate the effect of micropore diffusion in the mordenite. H. The Effect of Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775°F - Pt-AL,Oa -Mordenite Catalyst The final variable investigated in the kinetic study of cyclohexane dehydrogenation and isomerization over the Pt-AlgOg-mordenite catalyst was pressure. All of the experimental runs reported thus far on cyclo hexane over the Pt-AlgOg -mordenite catalyst have been made at a constant total pressure and a constant hydrogen to cyclohexane feed diluent ratio. A study of the effect of pressure is necessary to complete the modeling of the reaction. The experimental results concerning the effect of pressure on the cyclohexane dehydrogenation and isomerization rate con stants are presented in this section. The mathematical correlation of the rate constants with pressure using an adsorption-type model is discussed in the following section of this investigation. 1. The Effect of a Variation in Total Pressure at a Constant Hydrogen to Cyclohexane Feed Diluent Ratio The effect of total pressure on the cyclohexane dehydrogenation and isomerization rate constants at 775°F and constant feed diluent ratio was evaluated by varying the total pressure from 55 to 135 psia. All other experimental conditions were held constant for these runs. The experimental compositions and calculated rate constants for tfie variation of total pressure at constant temperature and feed diluent on the Pt- ALgOg-mordenite catalyst are presented in Table 19. A plot of the dehydrogenation and isomerization rate constants as a function of total reactor pressure is shown in Figure 20. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 159 775 -20 0.551-0.552 0.147-0.351 Cyclohexane ki ki hp 0.05206 0.04274 0.00558 0.00743 0.03721 0.04267 0.00713 0.00790 0.04372 0.03530 0.03458 0.00750 0.00609 0.00679 0.04185 0.00871 Pt-AlgOg -Mordenite Pt-AlgOg Dehydrogenation Isomerization Rate Constant, mols/gm gm cat-atm-min m Product Y b Y MoleFraction 0.399 0.069 0.340 0.036 0.483 0.095 0.467 0.087 0.409 0.081 0.407 0.070 0.472 0.083 0.386 0.080 ^-Mordenite Catalyst. Pt-ALj03 - 775 * 84.7 54.7 psia 109.7 109.7 134.7 9, 9, gm cat-min/gm feed , Hg/cyclohexane, Results Detailed run data are givenAppendix in B. Total Pressure SpaceTime Temperature, °F Catalyst Size Range, mm Catalyst Mole Ratio Feed The Effect Totalof Pressure on Cyclohexanethe Dehydrogenation and Isomerization 41G 35C 35A 84.7 35B 41B 41C 41A 134.7 33A 84.7 Run No. Experimental Operating Conditions Table 19. Rate Constants at Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 160 140120 A LEGEND Isomerization, Dehydrogenation,Q kx 100 80 Total Pressure, psia Run Nos. 33A,35,41A,B,C,G 60 40 0.0 0.06 H i i o o E S 0.02 oo CO E B d 3 0.04 E u •Si H The Effect Total of Pressure on Cyclohexanethe Dehydrogenation and Isomerization Rate Sure ‘ Constants at 775°F Pt-Al^Oa-Mordenite- Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 161 The cyclohexane dehydrogenation rate constants listed in Table 19 range from 0.03721 to 0.05206 gm moles/gm cat-atm-min. Figure 20 indicates that the dehydrogenation rate constant decreases with increasing total pressure at constant hydrogen to cyclohexane diluent ratio. The effect of total pressure on the dehydrogenation rate con stants seems to diminish at the higher pressure levels investigated. The cyclohexane isomerization rate constants listed in Table 19 range from 0.00558 to 0.00871 gm moles/gm cat-atm-min. The isomeri zation rate constants plotted in Figure 20 show that the effect of total pressure, if any, on this rate constant is very small. The experimental results obtained by varying total pressure with other conditions held constant indicates that pressure does have • some effect on cyclohexane reactivity over the Pt-ALjOg -mordenite cata lyst. A better understanding of the effects of pressure may be obtained by varying the hydrogen and hydrocarbon partial pressures independently. Experimental results on the variation of the partial pressures are given in the following subsection. 2. The Effect of Independently Varying Hydrocarbon and Hydrogen Partial Pressure Since the data in this investigation were obtained in an integral reactor, the partial pressures of the components varied with catalyst bed length during the course of each run. Although the individ ual partial pressures vary, the sum of the cyclohexane, benzene, and methylcyclopentane partial pressures remains constant with respect to. reactor length. This is because both dehydrogenation and isomerization reactions are unimolecular with respect to the hydrocarbon components, and the total moles of hydrocarbon at any point in the reactor is a Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 162 constant. Therefore, the total hydrocarbon partial pressure for any particular experimental run is a constant and is equal to the initial partial pressure of the cyclohexane in the feed hydrogen-cyclohexane mixture. It should also be noted that although hydrogen participates in the dehydrogenation reaction, the high hydrogen feed diluent ratios used ensure that the partial pressure remains nearly constant with respect to reactor length. The effects of a variation in hydrocarbon partial pressure on the cyclohexane dehydrogenation and isomerization rate constants for the Pt-AlgOa -mordenite catalyst at 775°F are shown in Table 20. These experimental results were achieved by varying the feed diluent ratio from 15 to 30 moles 1^/mole cyclohexane at constant total pressure. All other process conditions were held constant for these experimental runs. The hydrocarbon partial pressure varied between 2.70 and 5.24 psia. Due to the high hydrogen concentration, even at the lower feed diluent ratio, the hydrogen partial pressure remained almost constant and only varied from 79.5 to 81.9 psia. Therefore, the results in Table 20 can be taken as the effect of hydrocarbon partial pressure on the rate constants at constant hydrogen partial pressure. As a result of the £ varying hydrocarbon partial pressure, the dehydrogenation rate constant ranged from 0.03028 to 0.06190 gm moles/gm cat-atm-min while the isomeri zation rate constant ranged from 0.00643 to 0.01052 gm moles/gm cat-atm- min. The rate constants listed in Table 20 are plotted in Figure 21 as a function of the hydrocarbon partial pressure. The correlation of both rate constants with hydrocarbon partial pressure in Figure 21 appears to be very good. Both rate constants decrease with increasing Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. K 0.00643 0.01052 0.00743 0.00750 Isomerization ______ K 0.04274 0.03473 0.054210.030280.06190 0.00974 0.00669 0.04372 84.7 775 Dehydrogenation Rate Constant, gmmols/gm cat-atm-min 79.5-81.9 0.551-0.552 0.147-0.351 Cyclohexane Pt-AlgC^ -Mordenite Pt-AlgC^ L j 0.067 0.077 0.082 775 F ~80775 and psia HydrogenParital Pressure - Product ~ r Mole Fraction JSL. 0.396 0.418 0.399 0.069 0.373 0.386 0.080 0.04185 0.00871 2.74 5.30 2.70 0.355 0.064 3.96 4.01 Pressure, psia -Mordenite Catalyst. 3 Hydrocarbon Partial Detailed run data are given Appendix in B. Space Time 0, gm cat-min/gm feed HydrogenPartial Pressure, psia Feed Catalyst Catalyst Size Range, mm Temperature, °F Pressure, psia The Effect Totalof HydrocarbonPartial Pressure on Cyclohexanethe Dehydrogenation Pt-Alg0 Experimental Results Operating Conditions 33B 33C35A 5.24 4.02 0.407 0.070 33A ID 4 IE 4 41G Run No. Table 20. and IsomerizationRate Constants at —i O Q. C o CD Q. CD with permission of the copyright owner. Further reproduction prohibited without permission. T3 164 Run Nos. 33A,B,C ,35A,41D,E,G ______LEGEND Dehydrogenation, O Isomerization, kg A c 0.06 B > 4JB « i u <0 u g, 0.04 to H O B §> J) 0.02 n o J -- 2.0 3.0 4.0 5.0 6.0 p0 , Hydrocarbon Partial Pressure, psia The Effect of Total Hydrocarbon Partial Pressure on the , Cyclohexane Dehydrogenation and Isomerization Rate gure . const;ants at 775^F and ~80 psia Hydrogen Partial Pressure - Pt-A^Og-Mordenite Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 165 hydrocarbon partial pressure and the effect seems to diminish somewhat at the higher hydrocarbon partial pressure levels. The percentage reduction in the dehydrogenation rate constant with increasing hydrocarbon partial pressure is greater than that for the isomerization rate constant. The effect of a variation in hydrogen partial pressure at constant hydrocarbon partial pressure was investigated at two levels of hydrocarbon partial pressure. These two levels were approximately 5.6 and 2.7 psia and represented the upper and lower limits of the total hydrocarbon partial pressure variation previously presented in Table 20. The experimental results on the variation in hydrogen partial pressure at 5.6 psia hydrocarbon partial pressure and 775^F for the Pt-Al^Og- mordenite catalyst are shown in Table 21. All other experimental con ditions were held constant. The hydrogen partial pressure was varied between 79.4 and 128.3 psia. This variation was achieved by changing both total pressure and feed diluent ratio. Although there was a slight variation in the hydrocarbon partial pressure around 5.6 psia, the results can be interpreted as the effect of hydrogen partial pressure at constant hydrocarbon partial pressure. The dehydrogenation rate con stants in Table 21 ranged from 0.03028 to 0.04267 gm moles/gm cat-atm-min while the isomerization rate constants varied between 0.00609 and 0.00790 gm moles/gm cat-atm-min. The rate constants listed in Table 21 are plotted in Figure 22 as a function of the hydrogen partial pressure. At this level of hydrocarbon partial pressure, there seems to be no effect of hydrogen partial pressure on the isomerization rate constant. The dehydrogenation rate constant shows a slight upward trend with increasing hydrogen partial pressure but the effect, if any, is very small. The percentage standard deviation of the dehydrogenation rate constants in Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 166 fe 0.00609 0.00713 0.00790 Isomerization ki 0.03530 0.034580.03721 0.00679 ' 0.03028 0.00669 775 5.15-6.40 0.147-0.351 0.551-0.552 Dehydrogenation Cyclohexane Pt-ALgOg -Mordenite Pt-ALgOg yM' 0.087 . 0.04267 0.083 0.081 0.095 0.082 Fraction Product Rate Constant, gmmols/gm cat-atm-min 7 y B Mole 0.472 0.418 0.077 0.03473 0.00643 -- 79.5 0.373 79.4 104.5 0.467 128.3 104.5128.3 0.409 0.483 Pressure, psia Detailed run data are givenAppendix in B. HydrogenPartial k The Effect of HydrogenPartial Pressure on Cyclohexanethe Dehydrogenationand Pt-Al^Og -Mordenite Catalyst. Pt-Al^Og Space Time 9, gm cat-min/gm feed HydrocarbonPartial Pressure, psia Catalyst Catalyst Size Range, mm Feed Temperature, °F 35C 35B 33C 41A IB 4 IE 4 Experimental Results Operating Conditions RunNo. Table 21. Isomerization Rate Constants at ~5.6 775^F and psia HydrocarbonPartial Pressure Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 1 6 7 Run Nos. 33C,35B,C,41A,B,E ______LEGEND______Dehydrogenation, kj Isomerization, kg A c 0.06 •H Bi B 4J cd i 4J & 0.02 o 0.0 60 80 100 120 140 pH , Hydrogen Partial Pressure, psia 3 The Effect of Hydrogen Partial Pressure on the Cyclohexane Dehydrogenation and Isomerization Rate Figure 22. Constants at 775°F and ~5.6 psia Hydrocarbon Partial Pressure - Pt-AlgOa-Mordenite Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 168 Figure 22 about the mean value is 10.7% while that for the isomerization rate constants is 8.4%. The standard deviation of the dehydrogenation rate constant calculated for the replicate runs in the reproducibility study was 1 0 .0% of the mean while that for the isomerization rate con stant was 7.6%. These two sets of standard deviations are so close that the variation in both rate constants in Figure 22 may be attributed to experimental error. It can be concluded, therefore, that at 5.6 psia hydrocarbon partial pressure, a variation in hydrogen partial pressure over the range discussed has no effect on either rate constant. Experimental results on the variation of hydrogen partial pressure at 2.7 psia hydrocarbon partial pressure and 775°F for the Pt- AlgOg-mordenite catalyst are shown in Table 22. All other experimental conditions were held constant for the five runs. The hydrogen partial pressure was varied between 52.1 and 130.1 psia. The hydrocarbon partial pressure only varied between 2.60 and 2.74 psia and results can be interpreted as the effect of hydrogen partial pressure at a constant hydrocarbon partial pressure of 2.7 psia. The dehydrogenation rate con stants in Table 22 ranged from 0.05206 to 0.06970 gm moles/gm cat-atm- min while the isomerization rate constant varied between 0.00558 and 0.01283 gm moles/gm cat-atm-min. The rate constants listed in Table 22 are plotted in Figure 23 as a function of the hydrogen partial pressure. At this level of hydrocarbon partial pressure, the dehydrogenation rate constant in Figure 23 shows a slight upward trend with increasing hydro gen partial pressure. The standard deviation of the dehydrogenation rate constants plotted in Figure 23 is 10.2% of the mean. Since the standard deviation of the dehydrogenation rate constant found in the reproducibility study was 1 0 .0%, it can be concluded that the upward Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 169 - K 0.01119 0.01283 0.00558 0.01052 0.00974 Isomerization ki 0.06160 0.06970 0.06190 0.05206 0.05421 775 2.60-2.74 0.551-0.552 Dehydrogenation 0.147-0.351 Cyclohexane Rate Constant, mols/gm gm cat-atm-min Pt-AlgOa -Mordenite Pt-AlgOa psia HydrocarbonPartial Pressure - ~2.7 F and Product 775° yB yB yM MoleFraction 0.379 0.069 0.396 0.410 0.067 0.077 0.355 0.340 0.064 0.036 are givenAppendix in B. , psia , * 82.0 52.1 82.0 Detailed run data * Pressure, psia HydrogenPartial Conditions IsomerizationRate Constants at The Effect of HydrogenPartial Pressure on Cyclohexanethe Dehydrogenation and Pt-ALgOa-Mordenite Catalyst. Space Time 0, gm cat-min/gm feed HydrocarbonPartial Pressure Temperature, °F Catalyst Catalyst Size Range, mm Feed 44B 105.1 44A 130.1 33B 41C 41D Experimental Results Operating 22. 22. RunNo. Table Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 140 120 100 80 3 p„ p„ Hydrogen , Partial Pressure, psia 60 Run Nos. Run Nos. 33B,41D,C,44A,B 40 0.0 0.06 0.08 0.04 I I o e E o B m Cft 00 c E E cti u XJ Pt-Al^Og-Mordenite Catalyst. The Effect of Hydrogen Partial Pressure on Cyclohexane the Dehydrogenation and LEGEND Isomerization, kg Dehydrogenation, kj Figure 23. Isomerization Rate Constants at 775°F ~2.7 and psia Hydrocarbon Partial Pressure - Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 171 trend of the dehydrogenation rate constant in Figure 23 is not really significant. The majority of the isomerization rate constants plotted in Figure 23 show no effect of hydrogen partial pressure. The isomeri zation rate constant at the lowest hydrogen partial pressure studied, however, has a value of about one half of the isomerization rate con stants over the rest of the pressure range. Although this point could (31) simply represent experimental error, Sinfelt indicates that at very low hydrogen partial pressures, isomerization rates may increase with increasing hydrogen partial pressure. Sinfelt suggests that this phenomena arises when the hydrogen partial pressure is not sufficient to keep the catalyst surface free of coke-like hydrocarbon residues. The standard deviation of all of the isomerization rate constants plotted in Figure 23 is 24.0% of the mean. However, if the isomerization rate constants at the lowest hydrogen partial pressure is excluded, the percentage standard deviation falls to 8.3% of the mean. Since there exists a good possibility that the isomerization rate constant at the lowest hydrogen partial pressure is low due to catalyst deactivation, it is felt that the 8.3% standard deviation is more representative. The value of 8.3% for the standard deviation suggests that a variation in hydrogen partial pressure from 80 to 130 psia has no effect on the isomerization rate constant at 2.7 psia hydrocarbon partial pressure. The effect of pressure on the cyclohexane dehydrogenation and isomerization rate constants at 775°F on the Pt-ALjOg-mordenite catalyst has been evaluated by a series of fourteen experimental runs. It can be concluded qualitatively from these data that: a. The dehydrogenation rate constant decreases with increas ing total pressure at a fixed hydrogen to cyclohexane feed diluent ratio. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 172 b. The isomerization rate constant shows no effect of a change in total pressure at a fixed hydrogen to cyclohexane feed diluent ratio. c. Both rate constants decrease with increasing hydrocarbon partial pressure at a constant hydrogen partial pressure. d. At constant hydrocarbon partial pressure, the variation in both rate constants with changing hydrogen partial pressure is approximately equal to the normal scatter of the data. It can be concluded, therefore, that pressure effects on the dehydrogenation and isomerization rate constant may be correlated with hydrocarbon partial pressure. Figure 21 showed the effect of hydro carbon partial pressure on the rate constants at a constant hydrogen partial pressure. Since it has been shown that a variation in hydrogen partial pressure does not significantly affect the rate constants, this plot has been extended to include all the pressure data, regardless of hydrogen partial pressure. Figure 24 shows both rate constants plotted as a function of hydrocarbon partial pressure for all of the pressure data on the Pt-AlgOg -mordenite catalyst at 775°F. As with Figure 21, Figure 24 indicates that both rate constants decrease with increasing hydrocarbon partial pressure. This effect seems to diminish at the higher levels of hydrocarbon partial pressure. I . Correlation of the Cyclohexane Dehydrogenation and Isomerization Rate Constants at 775?F with the Observed Pressure Effects - Pt-AL,03 -Mordenite Catalyst 1. Intjcoduction During the past twenty-five years, it has become popular to analyze the kinetic data for solid catalyzed gas phase reactions in terms Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Co A 6.0 LEGEND 5.0 Isomerization, kg Dehydrogenation, Q 1^ 4.0 3.0 p0 , p0Hydrocarbon , Partial Pressure, psia Run Nos. 33,35,41A,B,C,D,E,G,44 2.0 0.0 0.02 i t o e B 00 W o u & DO 0.04 B cd B td c c 0.06 4J r—I The Effect Total of HydrocarbonPartial Pressure on Cyclohexanethe Dehydrogenation and Figure 4. isomerizationRate Constants at 775°F Pt-Al^-Mordenite - Catalyst. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 174 (3 5 ) of the Langmuir-Hinshelwood adsorption theory. The application of the Langmuir adsorption theory to the adsorption-desorption and surface reaction steps in heterogeneous catalysis has been discussed in detail v „ . tt *_ (20) . _ . (14,15) by Hougen and Watson and Corrigan. The adsorption phenomena that occur in gas-phase heterogeneous catalytic reactions involve gas mixtures rather than one gas alone. The (21) Langmuir theory for simple unimolecular adsorption can be extended (8) to describe adsorption of gas mixtures by solid surfaces. The assumptions necessary to extend the Langmuir adsorption isotherm to cover (35 8} mixed adsorption are: * (a) molecules adsorb on the solid surface in a unimolecular layer, and (b) no interaction occurs between adsorbed molecules, which implies that the heat of adsorption is a constant and independent of the amount of gas adsorbed. If the extended Langmuir theory is applied, for example, to a binary mixture of gases, then the amount of gas A that is adsorbed from the mixture of A and B is given (8) by an expression of the form *... ■ — = S|,‘ . O) 1 + Pa + Kb pa where Aftds = quantity of gas A adsorbed by the solid surface, pA = partial pressure of component A, pB = partial pressure of component B, Ka - adsorption coefficient of component A, Kg = adsorption coefficient of component B, a - quantity of gas A necessary to completely cover the solid surface with a monolayer. Equation (7) predicts that the addition to one gas of a second gas will Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 175 always decrease the amount of the first gas adsorbed. Enhancement of adsorption of one gas by another cannot be explained on the basis of the Langmuir theory. If the Langmuir adsorption theory is applied to a solid cata lyzed first order reversible reaction in which the surface reaction is rate controlling, then the rate of reaction is given by an expression of the f o r m ^ ^ « (Pa “ Pb /K) '"(iVtTJ~ 1 <8) where r = reaction rate, kg = a constant dependent on temperature and the catalyst, A = refers to a reactant, B = refers to a product, i = refers to a reactant, product or an inert, K = adsorption coefficient, p = partial pressure, K = reaction equilibrium constant, , n = a constant dependent on the reaction mechanism. Expressions having the general form of equation (8) have often been used for the successful correlation of kinetic data from solid catalyzed reactions. This general theory, however, is not without certain limitations. Although the Langmuir theory always predicts a decrease in adsorption when one gas is added to another, numerous (8) examples of physical adsorption have been cited by Brunauer where an (35) enhancement of adsorption is obtained. Weller states that adsorp tion of this type corresponds to having a negative adsorption Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 176 coefficient in the denominator of the Langmuir equation. In the usual application of the Langmuir approach to kinetic data, this result is considered to be physically impossible and any reaction mechanism which leads to a negative adsorption coefficient is automatically discarded. Another difficulty in the application of the adsorption theory to kinetic data concerns the problem of finding the correct reaction mechanism. The rate equation illustrated by equation (8) assumes that the surface reaction is rate controlling with the other steps on the catalyst surface being at equilibrium. Other assumed mechanisms result in different equations. The occurrence of a better fit of the data to one equation than to another is frequently employed as a sufficient criterion of the reaction mechanism. As discussed previously, this proceedure has received criticism, not for its ability to correlate the kinetic data, but for reaching absolute conclusions about the mechanism from the basis of best fit o n l y / 35^ The statistical analyses by C h o u ^ ^ on the codimer example in Hougen and Wa t s o n ^ ^ illustrates the difficulty in finding the correct kinetic mechanism from kinetic data, even in very carefully conducted experimental programs. Levenspiel^^ suggests that it is hardly ever possible to determine from kinetic measurements alone which is the correct mechanism. Thus, the kinetics investigator in heterogeneous catalysis is faced with either using the Langmuir adsorption approach with its recognized limitations or resorting to an empirical method such as the (351 one suggested by Weller. In spite of the difficulties inherent in the Langmuir adsorption method, Boudart^^ indicates that the limitations are often more than compensated for by the added insight into the reac tion mechanism which it can provide without undue complexity. Another Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 177 argument in favor of the general Langmuir adsorption approach is that if a mechanism is found that reasonably represents the data, extrapolation (22) to new operating conditions is more safely done. The general philosophy used in this investigation has been to correlate the observed pressure dependency of the reaction rate constants within the framework of the general Langmuir adsorption model as presented by Hougen and Watson. The restrictions and limitations of this approach are recognized and where simplifications in the equations could be made without unduly compromising the theory, they have been made. 2. Single and Dual Site Surface Reaction Adsorption Models Simple reversible unimolecular or unimolecular-bimolecular surface reactions such as the ones studied in this investigation generally may proceed by either single or dual site mechanisms. The single site mechanism postulates that only one active site is involved per reactant molecule. The reactant molecule is adsorbed on the single site and undergoes surface reaction to form the product(s) . If the reaction is unimolecular, the product molecule remains on the single site until it is desorbed. If the reaction is unimolecular-bimolecular, one of the two products is released directly from the site upon reaction. The other product molecule remains on the single site until it is desorbed. The condition of neighboring active sites does not affect the reaction rate predicted by the single site mechanism. The dual site mechanism postulates that an adsorbed reactant molecule can undergo surface reaction only if it is on an active site that has a neighboring unoccupied site that is of the same type. For a unimolecular reaction, the dual site surface reaction proceeds by a com plex formed by the reactant molecule and the two adjacent, active sites. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 178 This complex decomposes to form an adsorbed product molecule on one of the sites which is then desorbed. If the reaction is unimolecular- bimolecular, the dual site mechanism also predicts the formation of a complex between the reactant molecule and both active sites. After reaction occurs, the two neighboring sites each have adsorbed one of the two product molecules which are then subsequently desorbed from each site. The differential rate equations given in Chapter V for the surface reaction controlled rates of dehydrogenation and isomerization of cyclohexane are i=klPc-k'pBpHJ (9) and dWc ° ^ P c ~ Hb'pm - <10> where Nb = gm moles benzene/min, = gm moles methylcyclopentane/min, W c = weight of catalyst, gm Pc» Pb » Ph 2 » Pm ~ partial pressures of cyclohexane, benzene, hydrogen, and methylcyclopentane, atm, kj, kj = forward and reverse rate constants for dehydrogenation, gm moles/gm cat-atm-min, kg, k^ = forward and reverse rate constants for isomerization, gm moles/gm cat-atm-min. If the reverse rate constants are eliminated by introducing the defini tions of the equilibrium constants, equations (9) and (10) become Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 179 dNa „ . = k* (PC - PbPh23/Ka) (11) c and a w c = ^3 (Pc " R i /^b ) (I2) where K* = equilibrium constant for the dehydrogenation of cyclohexane to benzene, Ka = equilibrium constant for the isomerization of cyclohexane to methylcyclopentane. The observed or simple forward reaction rate constants in equations (11) and (12) can be related to the adsorption model rate constants.For the dehydrogenation reaction, the relationship between the simplified forward rate constant and the constants of the single site model is kolKc ^ = (1 + Kcpc + KaPa + ^ + ^ sPh2) (13) The relationship between the simplified dehydrogenation rate constant and the constants of the dual site model is Kdi ^c______^ = (1 + Kcpc + KaPa +• Kh -P^, + K„*, 2 prH„ 2s,)s ' (14) Similarly, the simplified isomerization rate constant is related to the constants of the single site model by lc, = ------J p s ik .-.------, (15) (1 + KcPc + ^ p B + + Kh2Ph2) and to the constants of the dual site model by kjj = ----- . (16) ' (1 + Kcpc + KaPa + ^.Ph + ^ 3Ph2)3 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 180 3. Simplification of the Surface Reaction Adsorption Models As discussed previously, in an integral reactor such as the one used in this investigation, the partial pressures of the reactants and products vary with reactor length. Although the individual partial pressures vary, the sum of the cyclohexane, benzene, and methylcyclo- pentane partial pressures or total hydrocarbon partial pressure remains constant with respect to reactor length. Also, the high hydrogen feed diluent ratios used ensure that the hydrogen partial pressure remains nearly constant with respect to reactor length. When the differential rate equations for cyclohexane dehydro genation and isomerization were integrated with respect to catalyst bed length in Chapter V, it was assumed that the simplified forward rate constants were independent of composition. Equations (13), (14), (15), and (16) which relate the simplified rate constants to the adsorption model constants would violate this assumption if used in their present form since they are functions of the individual partial pressures. These equations, however, may be simplified by certain reasonable assumptions to a form which is not concentration-dependent and which still retains the essential features of the adsorption model. If it is assumed that all of the hydrocarbon adsorption constants in equations (13), (14), (15), and (16) are essentially equal, then these equations are reduced to the form k, = ------V * .KP_ , (17) (1 + %V0 +Kh2Ph2)“ . where i = 1 for dehydrogenation, 2 for isomerization, Ko <= hydrocarbon adsorption coefficient, w V* ^ v v Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 181 p0 = total hydrocarbon partial pressure, Kh = hydrogen adsorption coefficient, pHg «= hydrogen partial pressure, n = 1 for a single site model, 2 for a dual site model. The assumption of equal adsorption coefficients for cyclohexane and methylcyclopentane seems to be perfectly reasonable since these two compounds are geometric isomers. In terms of individual adsorption measurements, the adsorption coefficient of benzene might be expected to be different from those of the two saturated hydrocarbons. There is evidence, however, which indicates that the adsorption characteristics of reacting systems described by Langmuir models are quite different from the adsorption characteristics as determined from.individual adsorption measurements. In a study of solid catalyzed pentane hydro- (24) isomerization, Lyster found that the kinetically determined adsorp tion coefficient of hydrogen was only 30% larger than that for i-pentane. This difference is much less than would be expected from single component adsorption measurements. B o u d a r t ^ and S c h w a b ^ ^ point out that the adsorption constants determined in reacting environments usually do not agree with those obtained in separate experiments. This lack of correspondence in adsorption characteristics undoubtedly reflects deficiencies in the assumptions of the Langmuir adsorption theory when -applied to real surfaces and mixtures of gases. In light of the uncer tainties in application of the Langmuir adsorption theory to reacting systems it is felt that the assumption of nearly equal adsorption coefficients for the hydrocarbon components is not a serious limitation. Previously, it was observed that variations in hydrogen partial pressure had no significant effect on the simplified rate constants for Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 182 the dehydrogenation or isomerization of cyclohexane on the Pt-Alg03 - mordenite catalyst. This indicates that the adsorption coefficient- partial pressure product for hydrogen is much less than that for the hydrocarbons or Pn «K q P0 . In light of this observation, equation 2 2 (17) reduces to t --- . (is) (1 + ^,p0)" Equation (18) relates the simplified rate constant for dehydro genation or isomerization to the adsorption coefficient of the hydro carbon components and the total hydrocarbon partial pressure. This equation assumes that the adsorption coefficients of the hydrocarbon components are essentially equal and that the effect of hydrogen adsorp tion on the rate constants is negligible. Since the total hydrocarbon partial pressure does not vary with catalyst bed length, equation (18) is independent of composition and satisfies the assumption made in Chapter V. 4. Correlation of Experimental Results with the Simplified Surface Reaction Models Equation (18) which relates the simplified rate constants and the adsorption characteristics can be rearranged to a linear form. For a single site model, equation (18) may be rearranged to give + ■ (19> For a dual site model equation (18) may be rearranged to give + • (20) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 183 The experimental data shown in Tables 19, 20, 21, and 22 giving the effect of pressure variations on the rate constants for the Pt-AlgOg- mordenite catalyst at 7 7 ^ F have been used to determine the constants in equations (19) and (20) . These constants were determined by a least squares analysis of the experimental data. A summary of the least squares rate and adsorption constants for each reaction and each model is given in Table 23. The data in Table 23 shows that positive rate and adsorption constants were obtained for each reaction and each model. The multiple correlation coefficients indicate that statistically, both single and dual site models describe the data equally well. The multiple corre lation coefficients also show that the adsorption models explain about 90% of the variation in the rate constant-pressure data. The remaining 10% of the variation may be attributed to experimental error and this figure agrees with the standard deviations obtained in the reproduci bility study. A ratio of the rate constants for dehydrogenation and isomeri zation in Table 23 (either model) indicates that the dehydrogenation rate of cyclohexane is about five times faster than the isomerization rate for the Pt-ALjOg-mordenite catalyst at 775°F. The hydrocarbon adsorption coefficients calculated from dehydrogenation or isomerization rates (either model) show very good agreement. It can be concluded that the simplified adsorption model adequately describes the variation of the rate constants with pressure within the accuracy of the experimental data. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 184 0.896 0! 107 0! 0.162 Dual Site JS(Y„,-Y)S 0.873 0.899 0.115 0.362 0.841 0.0566 Dual Site Single Site - )2 )2 )3 Dehydrogenation Isomerization^ Single Site r Variation (Total \ ** ** 1 0.288 0.406 q ^Correlation excludes run41C. Correlation Coefficient, ^ * Variation /(Explained k,,! Multiple 0.871 K Summary of Rate and Adsorption Constant for Dehydrogenation the and Isomerization of Table Z3. over Pt-ALjO^-Mordenite the cycl.0hexane Catalyst at 775?F. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 185 J. Effectiveness of the Overall Model for the Pt-AlgOg-Mordenite Catalyst A mathematical model for an experimental process has value only Insofar as it is able to predict the result that would be obtained if actual experimentation were performed. The effectiveness of the mathe matical model developed for the simultaneous dehydrogenation and isom erization of cyclohexane over the Pt-AlgOg -mordenite catalyst has been examined by comparing the calculated and experimental values of the rate constants. Values of the dehydrogenation and isomerization rate constants were calculated from the model for the complete range of variation in space time, temperature, and pressure. Predicted values of the rate constants were compared to the experimental values by calcu lating the percent difference between them. The average percent errors between the experimental and model predicted values for the dehydrogena tion and isomerization rate constants are shown in Table 24. The average percent error between experimental and calculated values for the dehydro genation rate constant for the total model is 8.4% while that for the isomerization rate constant is 10.57». These results indicate that the agreement between experimental and calculated values is good. It was assumed in the development of the mathematical model for the simultaneous dehydrogenation and isomerization of cyclohexane that the surface reactions were rate controlling. Since the percent errors between calculated and experimental values of the rate constants are about equal to the normal scatter of the data, it can be concluded that this model gives a satisfactory representation of the data. Although it cannot be concluded absolutely that this model represents the controlling mechanism, the agreement of experimental and calculated Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 186 T hi 9 A. Effectiveness of the Overall Model for the a 6 ' Pt-AlgOj -Mordenite Catalyst Average % Error Between Experimental and Calculated Rate Constant Dehydrogenat ion Isomerization Correlation k. ka Space Time 10.0 13.5 Temperature 0.8 2.6 Pressure^ 8.1 . 9.3 Total Model 8.4 10.5 experimental calculated ik. x 1 0 0 , E l ^experimental______Average % Error = Number of Comparisons ^Predicted rate constants for both reactions use a single site model. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 187 rate constants makes it highly probable. If a more satisfactory physi cal model did exist, it probably could not be distinguished from this one due to the normal experimental error in the data. K. Reactivity of n-Heptane and Methylcyclopentane over the Pt-AlgO, - Mordenite Catalyst at 925°F and 305 psia A limited amount of experimental data was obtained for n-heptane and methylcyclopentane over the Pt-Alg03 -mordenite catalyst at 92^ ’f and 305 psia. The experimental results for n-heptane at these conditions are shown in Table 25. The space time was varied between 1.51 and 6.04 gm cat-min/gm feed and the n-heptane conversion ranged from 49.8 to 98.1 wt. %. At these conditions with n-heptane, hydrocracking was the predominant reaction with very little dehydrocyclization to toluene taking place. The degree of selectivity to hydrocracking was 98% or above for all the experimental runs shown in Table 25. (23) Lyster has presented a fairly complete survey of the literature on proposed mechanisms for the dehydrocyclization of n-heptane to toluene. Most mechanisms presented in this survey envision the first step in the dehydrocyclization reaction as the dehydrogenation of n-heptane to a heptene molecule. The heptene molecule is thought to desorb from the catalyst surface and readsorb at the double bond in such a manner that ring closure to methylcyclohexane is favored. The methylcyclohexane subsequently dehydrogenates to form toluene. The step involving ring closure is usually viewed as rate controlling. The high degree of hydrocracking activity exhibited by the Pt-AlgO^ -mordenite catalyst indicates that at these conditions the hydrocracking rate is much higher than the rate of ring closure. The hydrocracking reaction may be moderated by decreasing the temperature, decreasing the acidity of the Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 99.5 98.0 98.5 98.5 Selectivity to Hydrocracking, % ~5 305 925 n-Heptane 0.147-0.833 Pt-AlgG^ -Mordenite Pt-AlgG^ Toluene 7 Cs “ C 76.45 76.45 22.35 0.86 97.66 1.92 0.28 68.99 29.96 0.74 48.88 50.17 0.44 Product Composition, wt. 7„ the Pt-ALgQg-Mordenite Catalyst at 925°F and 305 psia. SpaceTime 9, Detailed rundata are givenAppendix in B. Catalyst Size Range, mm Temperature, °F Pressure, psia Mole Ratio, Hg/n-Heptane Catalyst Feed 1C 1C 6.04 IB IB 1A 1.51 2.58 ID ID 2.58 Run No. gm cat-min/gm feed Experimental Results Operating Conditions Table 25. Reactivity of n-Heptane over Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 189 catalyst or addition of an Inhibiting agent such as nitrogen. All of these actions may also decrease the rates of the desired reactions and ( 38} care must be exercised in their uses. The patent on which the Pt-ALg03 -mordenite catalyst used in this investigation is based, claims a beneficial effect from the addition of nitrogen. Presumably the nitro gen acts to suppress hydrocracking. The effect of nitrogen addition on the dehydroisomerization of methylcyclopentane has been investigated and is discussed in the following paragraphs. The experimental results for the dehydroisomerization of methyl cyclopentane at 9 2 ^ F and 305 psia over the Pt-Alg03 -mordenite catalyst are shown in Table 26. The space time was varied between 10.6 and 21.3 gm cat-tnin/gm feed and the methylcyclopentane conversions ranged from 43.8 to 81.2 wt. %. Experimental runs with and without addition of 200 ppm nitrogen to the methylcyclopentane feed were made at each of the three space times investigated. The data in Table 26 show that the addition of nitrogen at constant space time decreases the conversion of methylcyclopentane and increases •> the selectivity to benzene. This action is undoubtably due to the inhibiting effect of nitrogen on the hydrocracking reaction. At the low space time, the addition of 200 ppm nitrogen causes about a 30% reduction in conversion and a 507» increase in selectivity to benzene. At the highest space time, however, addition of 200 ppm nitrogen causes only about a 13% decrease in conversion while the selectivity to benzene is nearly doubled. The benzene selectivity for the runs with no nitrogen shows a tendency to decrease slightly with increasing conversion. The benzene selectivity for the runs with the addition of nitrogen, however, / l g \ increases with increasing conversion. Heinemann et al in a study Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 66.4 35.6 60.5 35.3 58.5 40.2 Benzene, % Selectivity to 28.94 47.31 38.86 27.37 25.56 25.06 ~5 305 Benzene 925 0.147-0.833 Pt-Al^Og -Mordenite Pt-Al^Og Me thylcyclopentane Me MCP 18.79 28.56 24.63 36.24 37-69 56.19 Partial Product Composition, Wt. % ZL 15.77 16.38 39.23 35.62 11.57 24.80 3 21.3 21.3 17.0 17.0 10.6 10.6 gm feed gm cat-min/ SpaceTime 9, 0 0 0 200 200 200 PPm in Feed, in Nitrogen^ Pt-AI^Oa -Mordenite Catalyst Pt-AI^Oa at 925^F and 305 psia. Reactivity Methylcyclopentaneof with and without NitrogenAddition over the Catalyst Size Range, mm Temperature, °F Pressure, psia MoleRatio, Hj/Methylcyclopentane Catalyst Feed Experimental Results Operating Conditions As n-butylamine. Detailed run data are given Appendix in B. a 3B 3G 3F 3C 3D 3E RunNo. Table 26. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 191 of methylcyclopentane dehydroisomerization with a Houdriforming catalyst at 950PF and 315 psia found that the benzene selectivity increased with increasing conversion. It must be concluded that the Pt-AlgOt,-mordenite catalyst is an active catalyst for dehydroisomerization of methylcyclo pentane if nitrogen is added to suppress hydrocracking. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. L IS T OF REFERENCES - CHAPTER V I 1. Andreev, A. A., Shopov, D. M . , and Kiperman, S. L., "Kinetics of Cyclohexane Dehydrogenation in a Gradientless System," Kinet. Ratal. (U.S.S.R.), ]_ (No. 6), 1092 (1966): Chemical Abstracts, 6 6 , 85291 (1967). 2. Aris, R., "On Shape Factors .for Irregular Particles, I. - The Steady State Problem. Diffusion and Reaction," Chemical Engineering Science, j>, 262 (1957) . 3.- Balandin, A. A. and Rubinstein, A. M . , "The Effect of Methyl Substitution on the Catalytic Dehydration of Six-Membered Cyclic Hydrocarbons," Z. Physik Chem (U.S.S.R.), A167, 431 (1934); Chemical Abstracts, 28, 2255 (1934). 4. Barnett, L. G., Weaver, R. E. C., and Gilkeson, M. M., "Effect of Mass Transfer on Solid-Catalyzed Reactions: The Dehydrogenation of Cyclohexane to Benzene," American Institute of Chemical Engineering Journal. 1_ (No. 2), 211 (1961). 5. Bird, R. B., Stewart, W. E., and Lightfoot, E. N., Transport Phenomena, John Wiley and Sons, New York, New York, 1962. 6 . Boudart, M . , "Kinetics on Ideal and Real Surfaces," American Institute of Chemical Engineering Journal, £ (No. 1), 62 (1956). 7. Bridges, J. M. and Houghton, G., "The Evaluation of Activation Energies Using a Rising Temperature Flow Reactor. The Dehydrogenation of Cyclohexane over WS2 , Pt/Al203 , CrgOg/AlgOg, NiW04 /ALj03 and Cr2 03 ," Journal of the American Chemical Society, 81, 1334 (1959). 8 . Brunauer, S., The Adsorption of Gases and Vapors, Volume I, Physical Adsorption, Princeton University Press, Princeton, New Jersey, 1943. 9. Carberry, J. J., "Mass Diffusion and Isothermal Catalytic Selectivity," Chemical Engineering Science, 17, 675 (1962) . 10. Carberry, J. J., "The Catalytic Effectiveness Factor Under Nonisothermal Conditions," American Institute of Chemical Engineering Journal, 7 (No. 2), 350 (1961). 11. Carberry, J. J., "The Micro-Macro Effectiveness Factor for the Reversible Catalytic Reaction," American Institute of Chemical Engineering Journal, 8 (No. 4), 557 (1962). 192 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 193 12. Chou, C., "Least Squares," Industrial and Engineering Chemistry, 50 (No. 5), 799 (1958). 13. Ciapetta, F. G., "Special Report - Catalytic Reforming," Petro/ Chero Engineer, 33 (No. 5), C-19 (1961). 14. Corrigan, T. E., "Chemical Engineering Fundamentals. Catalytic Vapor Phase Reactions - I," Chemical Engineering, 62 (No. 1), 199 (1955). 15. Corrigan, T. E., "Chemical Engineering Fundamentals, Catalytic Vapor Phase Reactions - II," Chemical Engineering, 62 (No. 2), 195 (1955). 16. Corrigan, T. E., "Chemical Engineering Fundamentals, Interpre tation of Kinetic Data - I," Chemical Engineering, 62 (No. 4), 199 (1955). 17. Erkelens, J., Rozendaal, A., Linsen, B. G., and Okkerse, C., "Elimination of Diffusional Effects in the Study of Catalytic Reactions in Flow Systems," Chemistry and Industry, 2159 (December 30, 1967). 18. Heinemann, H., Mills, G. A., Hattmann, J. B., and Kirsch, F. W., "Houdriforming Reactions - Studies with Pure Hydrocarbons, Industrial and Engineering Chemistry, 45 (No. 1), 130 (1953). 19. Hopper, J. R . , "A Study of the Catalytic Hydroisomerization Reactions of n-Pentane and Cyclohexane over Structurally Modified Mordenites," Ph.D. Dissertation, Department of Chemical Engineering, Louisiana State University, 1969. 20. Hougen, 0. A. and Watson, K. M . , Chemical Process Principles, Part III, Kinetics and Catalysis, John Wiley and Sons, New York, New York, 1947. 21. Langmuir, I., "The Adsorption of Gases on Glass, Mica, and Platinum," Journal of the American Chemical Society, 4 0 , 1361 (1918). 22. Levenspiel, 0., Chemical Reaction Engineering, John Wiley and Sons, New York, New York, 1962. 23. Lyster, W. N., "Kinetics of Chemical Reactions - Dehydrocycli zation of N-Heptane," Ph.D. dissertation, Department of Chemical Engineering, Univeristy of Houston, 1964. 24. Lyster, W. N . , Hubbs, J. L., and Prengle, H. W., Jr., "Isomeriza tion of n-Pentane over Platinum Alumina Catalysts of Different Activity," American Institute of Chemical Engineering Journal, 10 (No. 6), 907 (1964). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 194 25. P'ang, L. et al, "Kinetics of Cyclohexane Dehydrogenation on Platinum Reforming Catalysts by the Flow-Circulating Method," Acta Foculio-Chim. Sinica (China), (5 (No. 2), 175 (1965); Chemical Abstracts, 65, 18379 (1966). 26. Pickert, P. E., Bolton, A. P., and Lanewala, M. A., "Molecular Sieve Zeolites: Trendsetters in Heterogeneous Catalysis," Chemical Engineering, 75 (No. 16), 133 (1968). 27. Popescu, A., Negoita, N . , and Baiulescu, E., "Activity of Pt-AlgC^ Catalysts," Analele Univ. Bucuresti, Ser. Stiint Nat. (Romania), JjL, 137 (1963); Chemical Abstracts, 64, 12571 (1966) . 28. Ritchie, A. W. and Nixon,.A. C., "Dehydrogenation of Monocyclic Naphthenes over a Platinum on Alumina Catalyst without Added Hydrogen," American Chemical Society Preprints. Division of Petroleum Chemistry, 11 (No. 3), 93 (1966). 29. Satterfield, C. N. and Sherwood, T. K., The Role of Diffusion in Catalysis, Addison - Wesley Publishing Company, Reading, Mass., 1963. 30. Schwab, G. M . , "About the Mechanism of Contact Catalysis," Advances in Catalysis, 2, Academic Press, Inc., New York, New York, 1950. 31. Sinfelt, J. H . , "Bifunctional Catalysis," Advances in Chemical Engineering, 5, 37, Academic Press, New York, New York, 1964. 32. Thiele, E. W., "Relation Between Catalytic Activity and Size of Particle," Industrial and Engineering Chemistry, 31 (No. 7), 916 (1939). 33. Weisz, P. B. and Prater, C. D., "Interpretation of Measurements in Experimental Catalysis," Advances in Catalysis, 6, 143, Academic Press, Inc-., New York, New York, 1954. 34. Weisz, P. B. and Swegler, E. W., "Effect of Intra-Particle Diffusion on the Kinetics of Catalytic Dehydrogenation of Cyclohexane," Journal of Physical Chemistry, 59, 823 (1955). 35. Weller, S., "Analysis of Kinetic Data for Heterogeneous Reactions," American Institute of Chemical Engineering Journal, (No. 1), 59 (1956). 36. Wheeler, A., "Reaction Rates and Selectivity in Catalyst Pores," Advances in Catalysis, 3^, 249, Academic Press, Inc., New York, New York, 1951. 37. Zelinskii, N. D. and Balandin, A. A., "Kinetics of Dehydrogenation Catalysts," Bulletin of the Academy of Science (U.S.S.R.), 29 (1929); Chemical Abstracts, 24, 774 (1930). Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 195 38. U. S. Patent 3,376,214. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. CHAPTER V I I CONCLUSIONS AND RECOMMENDATIONS A. Conclusions A halogen-free Pt-ALgOa-mordenite catalyst has been investigated for the simultaneous dehydrogenation and isomerization of cyclohexane in an integral fixed-bed reactor system. These results on cyclohexane are supplemented by a limited experimental study on a halogen-free Pt-ALgOa catalyst. A mathematical model for the simultaneous dehydro genation and isomerization of cyclohexane has been developed and applied to the experimental data from these two catalysts to determine the rate constants. The dehydrocyclization and dehydroisomerization capabilities of the Pt-ALgOa-mordenite catalyst were also investigated by limited experimentation on n-heptane and methylcyclopentane. The results from these experimental investigations have been summarized in the following paragraphs. 1. A study of macropore diffusion on the Pt-Al2 03 -mordenite catalyst revealed that significant diffusional effects existed for certain particle sizes in the dehydrogenation and isomerization of cyclohexane between 775? F and 900? F. The rates of cyclohexane dehydro genation and isomerization at 775?F were shown to be independent of particle size below a certain critical size. Diffusion in the micro pores of the mordenite was not evaluated since different crystallite 196 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 197 sizes were not available. The effects of micropore diffusion, if they are present, are included in the overall reaction rate. 2. The mass transfer of cyclohexane from the bulk fluid phase to the surface of the Pt-AlgOg-mordenite catalyst was shown to be not rate-limiting for dehydrogenation or isomerization at 775°F. 3. The rate of cyclohexane dehydrogenation over the Pt-AlgOg catalyst was shown to be dependent on catalyst particle size for all of the particle sizes investigated at 775°F. The rate of cyclohexane isomerization over the Pt-Al^Og catalyst was almost non-existent at 775°F and not dependent on particle size. 4. The rates of cyclohexane dehydrogenation and isomerization over the Pt-AlgOg -mordenite catalyst at 775°F were shown to be consistent with first-order reversible reactions. 5. Activation energies for cyclohexane dehydrogenation and isomerization over the Pt-A^Og -mordenite catalyst were determined in the 724°-775°F temperature range. The activation energy for cyclo hexane dehydrogenation was found to be 14.4 kcal/gm mole which is consistent with values reported in the literature over similar cata lysts. The activation energy for cyclohexane isomerization was found to be 12.5 kcal/gm mole. The isomerization activation appeared to be low in comparison to values previously reported for mordenite cata lysts and may indicate a diffusional limitation in the micropores of the mordenite. 6 . The effect of pressure on the cyclohexane dehydrogenation and isomerization rate constants at 775°F on the Pt-AlgOg -mordenite catalyst may be summarized as follows: Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 198 a. The dehydrogenation rate constant decreased with Increasing total pressure at a fixed hydrogen to cyclohexane feed diluent ratio. The isomerization rate constant showed no effect of a change in total pressure at a constant hydrogen to cyclohexane feed diluent ratio. b. Both rate constants decreased with increasing hydro carbon partial pressure at a constant hydrogen partial pressure. c. At constant hydrocarbon partial pressure, the variation in both rate constants with changing hydrogen partial pressure was approximately equal to the normal scatter of the data. 7. The observed pressure effects on cyclohexane dehydrogenation and isomerization over the Pt-ALgGlj -mordenite catalyst at 775°F were adequately correlated by using the conventional Langmuir adsorption approach. The experimental data from both reactions were found to be compatible with either dual or single site surface reaction mechanisms in which the dynamic adsorption coefficients of hydrocarbons are equal and influence of hydrogen adsorption is negligible. An exact know ledge of the reaction mechanism is not implied because of certain limitations in the Langmuir adsorption theory when applied to mixtures and reaction environments. 8 . The effectiveness of the mathematical model for cyclohexane dehydrogenation and isomerization over the Pt-Al^Ck -mordenite was evaluated by comparing the experimental and predicted rate constants over the range of conditions investigated. The average percentage error between the experimental and predicted values of the dehydro genation rate constant was 8.4%. The average percentage error between Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 199 the experimental and predicted values of the isomerization rate constant was 10.5%. 9. The cyclohexane isomerization activity of the Pt-AlgOg- mordenite catalyst was shown to be approximately eighteen times that of the Pt-AlaOg catalyst at 775°F. This difference in isomerization promoting ability may be explained by presence of the mordenite which was shown to be approximately twelve times more acidic than the halogen-free alumina. These data confirm that the degree of catalyst acidity is directly related to the isomerization activity. 10. The Pt-AlgOg -mordenite catalyst was found to have a negli gible n-heptane dehydrocyclization activity at 925°F due to a high rate of hydrocracking. 11. The Pt-AlgOg-mordenite catalyst was found to have a good methylcyclopentane dehydroisomerization activity at 925°F if nitrogen was added to the feed to suppress hydrocracking. B. Recommendations One of the most important and significant facets of any scientific investigation is the recommendations for further research. Scientific research is somewhat analogous to a chain reaction in which the results of any single investigation may generate a whole series of interesting topics for further evaluation. Three recommendations for further research are made in the following paragraphs. Two of these recommen dations are direct extensions of this investigation while the third concerns measurements in heterogeneous catalysis in general. This investigation has shown that isomerization activity may be imparted to a platinum-alumina dehydrogenation catalyst by the addition of a small quantity of a crystalline zeolite to the catalyst Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 200 matrix. In addition, it has been shown that the degree of isomeri zation activity is directly related to the degree of acidity of the catalyst. The use of a bifunctional platinum-alumina-mordenite could have broad implications in commercial catalytic reforming due to the high stability and non-corrosive nature of the zeolite component. It is necessary, however, to establish a quantitative relation between the degree of acidity and the isomerization activity so that the opti mum balance between the dual functions may be obtained. Conceivably, the acidity of the platinum-alumina-mordenite catalyst may be changed by varying either the concentration of the mordenite or by altering the structural characteristics of the mordenite. The second recommendation concerns diffusional characteristics within the micropores of the mordenite component. Certain results obtained in this study indicate micropore diffusion may contribute significant resistance to the rate of reaction in the absence of macropore diffusional limitations. An obvious first step in the evaluation of micropore diffusional effects is the investigation of different crystallite sizes. In conjunction with this first step, a satisfactory theory for the surface type diffusion that occurs within the micropores must be developed. The final recommendation for further investigation concerns the conventional methods for describing reaction mechanisms in hetero geneous catalysis and their possible improvements. The determination of reaction mechanisms in heterogeneous catalysis is not just a theoretical pursuit but can have far-reaching commercial implications. Once specific reaction mechanisms are known, the problem of tailor- making catalysts to fit any desired requirement is much less difficult. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 201 I ■ Two deficiencies in the conventional methods for describing reaction rates over solid catalysts are obvious. The first deficiency concerns the Langmuir single component adsorption theory and its application to reacting systems. It has been repeatedly demonstrated that the extension of this theory to multicomponent reacting systems often violates the theories assumptions and makes interpretation of results difficult. The second problem concerns concentration measurements in solid catalyzed reactions and the actual events on the catalyst surface. The limitations of present technology make it necessary to make concentration measurements in the bulk fluid phase and extrapolate to what happens on the catalyst surface. This approach may disguise the actual kinetics so long as we do not actually follow events on the catalyst surface. Both of the aforementioned deficiencies in present catalysis theory make it difficult or impossible to pinpoint exact reaction mechanisms. The development of a suitable adsorption theory for reacting environments and measurement of concentrations on catalyst surface are formidable problems, theoretically and experimentally. This author feels, however, that they should be suitable and prime topics for further research in heterogeneous catalysis. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX A NOMENCLATURE Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX A NOMENCLATURE A - Reactor cross-sectional area A - Representation of an arbitrary reactant Aadg - Quantity of an arbitrary gas A adsorbed by a solid surface a - Quantity of an arbitrary gas A necessary to completely cover a solid surface with a monolayer a - Initial concentration of component A a - Unit cell dimension for mordenite at - Designation of an arbitrary base point in the pattern search technique B - Representation of an arbitrary product Bi - Exponential coefficient in the solution for the concentration of benzene B2 - Exponential coefficient in the solution for the concentration of benzene Rj - Constant term in the solution for the concen tration of benzene b - Initial concentration of component B b - Unit cell dimension for mordenite C - Representation of an arbitrary product c - Initial concentration of component C 203 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 204 c - Unit cell dimension for mordenite d — Differential operator dp - Average particle diameter E - . Activation energy e - Base of natural logarithms F - Mass feed rate of cyclohexane f — Denotes general functional relation fj - Denotes i*^ functional relation £' - Denotes general functional realtion g - Denotes general functional relation g' - Denotes general functional relation H - Function of the diluent ratio and total pressure hjj — Temporary base point in the pattern search technique K - Thermodynamic equilibrium constant for an arbitrary first-order reversible reaction KA - Thermodynamic equilibrium constant for the dehydrogenation of cyclohexane to benzene Kg — Thermodynamic equilibrium constant for the isomerization of cyclohexane to methylcyclo pentane Ka - Adsorption coefficient of an arbitrary gaseous component A Kg - Adsorption coefficient of an arbitrary gaseous component B Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 205 Kb - ' Adsorption coefficient for benzene Kg - Adsorption coefficient for cyclohexane - Adsorption coefficient for hydrogen Kj - Adsorption coefficient for component i K,, - Adsorption coefficient for methylcyclopentane K,) - Adsorption coefficient for cyclohexane, benzene, and methylcyclopentane k - Arbitrary reaction rate constant k,j - Frequency factor k„ - First-order forward rate constant in the adsorption model for an aribtrary reaction kQj - First-order forward rate constant in the adsorption model for the dehydrogenation of cyclohexane to benzene ko3 - First-order forward rate constant in the adsorption model for the isomerization oc cyclohexane to methylcyclopentane kj^ - First-order forward rate constant for the dehydrogenation of cyclohexane to benzene k^ - First-order reverse rate constant for the dehydrogenation of cyclohexane to benzene kg - First-order forward rate constant for the isomerization of cyclohexane to methylcyclo pentane k^ - First-order reverse rate constant for the isomerization of cyclohexane to methylcyclo pentane Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 206 k| - First-order forward rate constant for the reaction of A to B k_, - First-order reverse rate constant for the reaction of A to B k, , - First-order forward rate constant for the reaction of A to C k_, j - First order reverse rate constant for the reaction of A to C (ki^EST “ Estimate of the first-order forward rate constant for the dehydrogenation of cyclohexane to benzene " Estimate of the first-order forward rate constant for the isomerization of cyclohexane to methylcyclopentane L - Catalyst bed length Mj^ - Exponential coefficient in the solution for the concentration of methylcyclopentane Mg - Exponential coefficient in the solution for the concentration of methylcyclopentane Mj - Constant term in the solution for the concen tration of methylcyclopentane m - Number of data points for the least squares minimization - Molar flow rate of benzene l^c - Total molar flow rate of hydrocarbons Nj - Molar flow rate of component i - Molar flow rate of methylcyclopentane Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 207 Nt - Total molar flow rate n A constant in the adsorption model dependent on the reaction mechanism P.© - Peclet number P, - Exponential coefficient in the general solution for the concentration of component B Pj ( - Exponential coefficient in the general solution for the concentration of component C p - Number of simultaneous nonlinear equations p^ - Partial pressure of an arbitrary gaseous component A Pp - Partial pressure of an aribtrary gaseous component B pB - Partial pressure of benzene pc - Partial pressure of cyclohexane p^ - Partial pressure of hydrogen Pj - Partial pressure of component i p^ - Partial pressure of methylcyclopentane p0 - Total hydrocarbon partial pressure Q( - Exponential coefficient in the general solution for the concentration of component B Qj t - Exponential coefficient in the general solution for the concentration of component C P. - Feed diluent ratio R - Universal gas constant Re,, - Particle Reynolds number Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 208 Rx - Residual difference between a predicted and an experimental value of the benzene concentration Rg - Residual difference between a predicted and an experimental value of the methylcyclopentane concentration r - Multiple correlation coefficient r - Reaction rate for an arbitrary first-order reversible reaction rB - Rate of reaction for the dehydrogenation of cyclohexane to benzene rH - Rate of reaction for the isomerization of cyclohexane to methylcyclopentane Tj - Root of the auxiliary equation in the general parallel reaction solution rj - Root of the auxiliary equation in the parallel reaction solution for cyclohexane r2 - Root of the auxiliary equation in the general parallel reaction solution r3 - Root of the auxiliary equation in the parallel reaction solution for cyclohexane T - Absolute temperature t - Time W - Mass flow rate Wc - Weight of catalyst x - Concentration of component B at any time - Arbitrary independent variable Xj - Arbitrary independent variable Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 209 Y - Experimental value of an arbitary dependent variable Yest - Predicted value of an arbitrary dependent % variable Y - Mean value of an arbitrary dependent variable y - Concentration of component C at any time yB - Mole fraction of benzene yc • - Mole fraction of cyclohexane yH - Mole fraction of hydrogen s yl - Mole fraction of component i yH - Mole fraction of methylcyclopentane yB - • Mole fraction of benzene on a hydrogen-free basis y( - Mole fraction of component i on a hydrogen-free basis y^ - Mole fraction of methylcyclopentane on a hydrogen-free basis y - Phase designation of alumina y i ] $ - Constant term in the general solution for the concentration of component B yil/jj - Constant term in the general solution for the concentration of component C A - Difference operator Aj - Step size in the pattern search technique 6 - Void fraction 0 - Space time |i - Viscosity -V. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. tt — Total pressure $ — General criterion function $ - Sun of the squares of the residuals Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX B DETAILED EXPERIMENTAL DATA Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number LA Feed n-Heptane Catalyst Type Pt-ALjOg -Mordenite Code FJH-617-2RD Size, mm 0.147-0.833 Wt., gm 2.1042 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vo l ., cnP ~ 1 2 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 49.5 Hydrogen, psia 255.2 w/hr/w, gm feed/gm cat-hr 23.21 Feed Diluent, moles l^/mole feed 5.16 Feed Rate, cni3/hr 71.4 Minutes on Feed 270 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 76.45 i-Heptane 2.56 n-Heptane 19.79 Methylcyclohexane 0.00 Benzene 0.23 Toluene 0.86 Cg and Cg Aromatics 0.11 Hydrogen Balance, % 100.09 Space Time 0, gm cat-min/gm feed 2.580 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number IB Feed n-Heptane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-2RD Size, mm 0.147-0.833 Wt., gm . 2.1042 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol.-, cnf3 ~ 1 2 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 50.6 Hydrogen, psia 254.1 w/hr/w, gm feed/gm cat-hr 39.79 Feed Diluent, moles Hj/mole feed 5.02 Feed Rate, ait3/hr 122.4 Minutes on Feed 400 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 48.88 i-Heptane 2.88 n-Heptane 47.29 Methylcyclohexane 0.00 Benzene 0.31 Toluene 0.44 C8 and Cg Aromatics 0.10 Hydrogen Balance, % 100.28 Space Time 9, gm cat-min/gm feed 1.510 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 1C Feed n-Heptane Catalyst Type Pt-AlgOa-Mordenite Code FJH-617-2RD Size, mm 0.147-0.833 Wt., gm 2.1042 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnt3 ~12 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 47.5 257.2 Hydrogen, psia i w/hr/w, gm feed/gm cat-hr 9.95 Feed Diluent, moles Hg/mole feed 5.41 Feed Rate, cnP/hr 30.6 Minutes on Feed 560 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (CB-) 97.66 i-Heptane 0.36 n-Heptane 1.56 Methylcyc1ohexane 0.00 Benzene 0.14 Toluene 0.28 Ce and C9 Aromatics 0.00 Hydrogen Balance, % 99.29 Space Time 0, gm cat-min/gm feed 6.040 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number ID Feed n-Heptane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-2RD Size, mm 0.147-0.833 Wt., gm 2.1042 Catalyst Diluent Mullite Size, ram 0.147-0.495 Vol., cnf3 ~12 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 48.9 Hydrogen, psia 255.8 w/hr/w, gm feed/gm cat-hr 23.21 Feed Diluent, moles Hg/mole feed 5.23 Feed Rate, cirP/hr 71.4 Minutes on Feed 680 Product Composition, wt. % (Hydrogen Free Basis) Cracked Gas (C6 -) 68.99 i-Heptane 1.68 n-Heptane 28.28 Methylcyclohexane 0.00 Benzene 0.20 Toluene 0.74 Ce and Cg Aromatics 0.11 Hydrogen Balance, % 99.37 Space Time 0, gm cat-min/gm feed 2.580 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number Feed Methylcyclopentane + 200 ppm Nitrogen* Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-2RE Size, mm 0.147-0.833 Wt., gm 10.6155 Catalyst Diluent None Size, mm Vol., cn? Temperature, °F 925 Pressure, psia 304.7 Feed, psia 51.0 Hydrogen, psia 253.7 w/hr/\-7, gm feed/gm cat-hr 2.82 Feed Diluent, moles I^/mole feed 4.98 Feed Rate, cnP/hr 40.8 Minutes on Feed 175 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 19.19 Methylcyclopentane 21.50 Methylcyclopentene 0.50 Cyclohexane 0.85 Cyclohexene 0.06 Benzene 50.79 Toluene 4.11 Ce and Cg Aromatics 3.00 Hydrogen Balance, % 99.11 Space Time 0, gm cat-min/gm feed 21.304 *As n-Butylamine. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 3B Feed Methylcyclopentane + 200 ppm Nitrogen* Catalyst Type Pt-Al203 -Mordenite Code FJH-617-2RE Size, irnn 0.147-0.833 W t ., gin 10.6155 Catalyst Diluent None Size, mm Vol., cnf5 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 51.0 Hydrogen, psia 253.7 w/hr/w, gm feed/gm cat-hr 2.82 Feed Diluent, moles Hg/mole feed 4.98 Feed Rate,, cnf3 /hr 40.8 Minutes on Feed 290 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 15.77 Methylcyclopentane 28.56 Methylcyclopentene 0.81 Cyclohexane 1.13 Cyclohexene 0.20 Benzene 47.31 Toluene 1.64 Ce and Cg Aromatics 4.65 Hydrogen Balance, % 99.47 Space Time 0, gm cat-min/gm feed 21.304 *As n-Butylamine. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number Feed Methylcyclopentane + 200 ppm Nitrogen Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-2RE Size, mm 0.147-0.833 Wt., gm 10.6155 Catalyst Diluent None Size, mm Vol., cm3 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 51.2 Hydrogen, psia 253.5 w/hr/w, gm feed/gm cat-hr 3.53 Feed Diluent, moles Hj/mole feed 4.96 Feed Rate, cn?/hr 51.0 Minutes on Feed 595 Product Composition, wt. % (Hydrogen Free Basis) Cracked Gas (C6-) 16.38 Methylcyclopentane 36.24 Methylcyclopentene 0.64 Cyclohexane 1.35 Cyclohexene 0.22 Benzene 38.86 Toluene 2.31 C8 and Cg Aromatics 4.05 Hydrogen Balance, % 100.35 Space Time 0, gm cat-min/gm feed 17.001 *As n-Butylamine. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 3D Feed Methylcyclopentane + 200 ppm Nitrogen* Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-2RE Size, mm 0.147-0.833 wt., gm 10.6155 Catalyst Diluent None Size, mm Vol., cnf3 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 50.5 Hydrogen, psia 254.2 '4 w/hr/w, gm feed/gm cat-hr 5.65 Feed Diluent, moles Hj/mole feed 5.03 Feed Rate, cn?/hr 81.6 Minutes on Feed 815 Product.Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 11.57 Methylcyclopentane 56.19 Methylcyclopentene 1.41 Cyclohexane 1.88 Cyclohexene 0.35 Benzene 25.56 Toluene 1.24 C8 and Cg Aromatics 1.79 Hydrogen Balance, % 100.32 Space Time 0, gra cat-min/gm feed 10.600 *As n-Butylamine. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 3E Feed Methylcyclopentane Catalyst Type Pt-AlgOs -Mordenite Code FJH-617-2RE Size, mm 0.147-0.833 Wt., gm 10.6155 Catalyst Diluent None Size, mm Vol., cnP Temperature, °F 925 Pressure, psia 304.7 Feed, psia 45.9 Hydrogen, psia 258.8 w/hr/w, gm feed/gm cat-hr 5.65 Feed Diluent, moles llg/mole feed 5.12 Feed Rate, cm3 /hr 81.6 Minutes on Feed 965 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 24.80 Methylcyclopentane 37.69 Methylcyclopentene 1.07 "Cyclohexane 2.18 Cyclohexene 0.94 Benzene 25.06 Toluene 3.06 Ca and Cg Aromatics 5.21 Hydrogen Balance, % 100.33 Space Time 0, gm cat-min/gm feed 10.600 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 3F Feed Methylcyclopentane Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-2RE Size, iron 0.147-0.833 Wt., gm 10.6155 Catalyst Diluent None . Size, mm Vol., cnP Temperature, °F 925 Pressure, psia 304.7 Feed, psia 50.4 Hydrogen, psia 254.3 w/hr/w, gm feed/gm cat-hr 3.53 Feed Diluent, moles llg/mole feed 5.05 Feed Rate, cnf5/hr 51.0 Minutes on Feed 1190 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C5 -) 35.62 Methylcyclopentane 24.63 Methylcyclopentene 0.24 Cyclohexane 1.68 Cyclohexene 0.32 Benzene 27.37 Toluene 3.91 Ce and Cg Aromatics 6.21 Hydrogen Balance, % 100.50 Space Time 0, gm cat-min/gm feed 17.001 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 3G Feed Methylcyclopentane Catalyst Type Pt-ALjOs -Mordenite Code FJH-617-2RE Size, mm 0.147-0.833 Wt., gm 10.6155 Catalyst Diluent None Size, mm Vol., cnt3 Temperature, °F 925 Pressure, psia 304.7 Feed, psia 51.4 Hydrogen, psia 253.3 w/hr/w, gm feed/gm cat-hr 2.82 Feed Diluent, moles 1^/mole feed 4.93 Feed Rate, cnt3 /hr 40.8 Minutes on Feed 1355 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 39.23 Methylcyclopentane 18.79 Methylcyclopentene 0.70 Cyclohexane 1.44 Cyclohexene 0.93 Benzene 28.94 Toluene 4.49 Ca and Cg Aromatics 5.49 Hydrogen Balance, % 99.61 Space Time 0, gm cat-min/gm feed 21.304 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 7A Feed Cyclohexane Catalyst Type Pt-ALgt^ -Mordenite Code FJH-617-3RH Size, mm 0.147-0.833 Wt., gm 0.7068 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnt3 ~14 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.3 Hydrogen, psia 214.4 w/hr/w, gm feed/gm cat-hr 56.21 Feed Diluent, moles Hj/mole feed 20.80 Feed Rate, cnt3 /hr 51.0 Minutes on Feed 170 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 3.21 Methylcyclopentane 13.63 Methylcyclopentene 0.00 Cyclohexane 62.94 Cyclohexene 0.00 Benzene 19.99 Toluene 0.00 Ce and Cg Aromatics 0.22 Hydrogen Balance, % 100.09 Space Time 0, gm-cat-min/gm feed 1.067 Rate Constant kj , gm moles/gm cat-atm-min 0.00432 Rate Constant gm moles/gm cat-atm-min 0.00275 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 7B Feed Cyclohexane Catalyst Type Pt-AlgOj-Mordenite Code FJH-617-3RH Size, mm 0.147-0.833 Wt., gm 0.7068 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnt3 ~14 Temperature, °F 901 Pressure, psia 224.7 Feed, psia 10.3 Hydrogen, psia 214.4 w/hr/w, gm feed/gm cat-hr 33.84 Feed Diluent, moles Hg/mole feed 20.81 Feed Rate, cnf3/hr 30.7 Minutes on Feed 320 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 2.62 Methylcyclopentane 18.24 Methylcyclopentene 0.00 Cyclohexane 55.44 Cyclohexene 0.00 Benzene 22.99 Toluene 0.03 Cq and Cg Aromatics 0.67 Hydrogen Balance, % 100.13 Space Time 0, gm cat-min/gm feed 1.773 Rate Constant kj, gm moles/gm cat-atm-min 0.00317 Rate Constant kg, gm moles/gm cat-atm-min 0.00236 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 7G Feed Cyclohexane Catalyst Type Pt-ALg03 -Mordenite Code FJH-617-3RH Size, mm 0.147-0.833 W t . , gm 0.7068 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnt3 ~14 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.4 Hydrogen, psia 214.3 w/hr/w, gm feed/gm cat-hr 22.48 Feed Diluent, moles 1^/mole feed 20.70 Feed Rate, cut3 /hr 20.4 Minutes on Feed 495 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Cs -) 4.53 Methylcyclopentane 21.78 Methylcyclopentene 0.00 Cyclohexane 45.35 Cyclohexene 0.00 Benzene 27.77 Toluene 0.02 Cs and Cg Aromatics 0.53 Hydrogen Balance, % 98.64 Space Time 8 , gm cat-min/gm feed 2.669 Rate Constant kj, gm moles/gm cat-atm-min 0.00279 Rate Constant kg, gm moles/gm cat-atm-min 0.00206 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 8 A Feed Cyclohexane Catalyst Type Pt-ALgOa -Mordenite Code FJH-617-3RI Size, m m 0.147-0.833 Wt., gm 1.7042 Catalyst Diluent Mullite Size, mm 0.147-0.495 •Vol., cnf3 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.7 Hydrogen, psia 214.0 w/hr/w, gm feed/gm cat-hr 18.65 Feed Diluent, moles E^/mole feed 20.08 Feed Rate, cm3/hr 40.8 Minutes on Feed 180 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 4.61 Methylcyclopentane 18.60 Methylcyclopentene 0.00 Cyclohexane 26.51 Cyclohexene 0.00 Benzene 49.37 Toluene 0.03 Cg and Cg Aromatics 0.87 Hydrogen Balance, % 98.87 Space Time 8 , gm cat-min/gm feed 3.217 Rate Constant 1^ , gm moles/gm cat-atm-min 0.00499 Rate Constant kg , gm moles/gm cat-atm-min 0.00177 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 8 B Feed Cyclohexane Catalyst Type Pt-ALg03 -Mordenite Code FJH-617-3RI Size, mm 0.147-0.833 Wt., gm 1.7042 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnt3 ~13 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.4 Hydrogen, psia 214.3 w/hr/w, gm feed/gm cat-hr 27.97 Feed Diluent, moles l^/mole feed 20.70 Feed Rate, cnf3 /hr 61.2 Minutes on Feed 350 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.66 Methylcyclopentane 17.86 Methylcyclopentene 0.00 Cyclohexane 39.61 Cyclohexene 0.00 Benzene 41.13 Toluene 0.03 Cg and Cg Aromatics 0.71 Hydrogen Balance, % 99.68 Space Time 0, gm cat-min/gm feed 2.145 Rate Constant k^ , gm moles/gm cat-atm-min 0.00532 Rate Constant kg, gm moles/gm cat-atm-min 0.00217 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 8 C Feed Cyclohexane Catalyst Type P t - A L ^ -Mordenite Code FJH-617-3RI Size, mm 0.147-0.833 Wt., gm 1.7042 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cni3 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.5 Hydrogen, psia 214.2 w/hr/w, gm feed/gm cat-hr 37.30 Feed Diluent, moles Hg/mole feed 20.47 Feed Rate, cnf3/hr 81.6 Minutes on Feed 480 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 3.47 Methylcyclopentane 16.48 Methylcyclopentene 0.00 Cyclohexane 49.02 Cyclohexene 0.00 Benzene 30.85 Toluene 0.00 Ce and Cg Aromatics 0.17 Hydrogen Balance, % 100.03 Space Time 0, gm cat-min/gm feed 1.609 Rate Constant , gm moles/gm cat-atm-min 0.00487 Rate Constant kg, gm moles/gm cat-atm-min 0.00244 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 229 TABLE B RUN DATA Run Number 8D Feed Cyclohexane Catalyst Type Pt-Alg0 3 -Mordenite Code FJH-617-3RI Size, mm 0.147-0.833 Wt., gm 1.7042 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnP ~13 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.5 Hydrogen, psia 214.2 w/hr/w, gm feed/gm cat-hr 37.30 Feed Diluent, moles 1^/mole feed 20.47 Feed Rate, cut3/hr 81.6 Minutes on Feed 505 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Cs -) 2.63 Methylcyclopentane 16.27 Methylcyclopentene 0.00 Cyclohexane 49.81 Cyclohexene 0.00 Benzene 30.77 Toluene 0.01 Ce and C^ Aromatics 0.52 Hydrogen Balance, % 99.77 Space Time 0, gm cat-min/gm feed 1.609 Rate Constant kj^ , gm moles/gm cat-atm-min 0.00481 Rate Constant , gm moles/gm cat-atm-min 0.00238 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 9A Feed Cyclohexane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-3RJ Size, mm 0.147-0.833 Wt., gm 2.5382 Catalyst Diluent Mullite Size, mm 0.147-0.495 V o l ., cnf3 ~12 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.4 Hydrogen, psia 214.3 w/hr/w, gm feed/gm cat-hr 18.78 Feed Diluent, moles 1^/mole feed 20.57 Feed Rate, cnt3/hr 61.2 Minutes on Feed 130 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Cs-) 4.23 Methylcyclopentane 15.01 Methylcyclopentene 0.00 Cyclohexane 8.20 Cyclohexene 0.00 Benzene 71.64 Toluene 0.04 C8 and Cg Aroma tics 0.88 Hydrogen Balance, % 99.88 Space Time 0, gm cat-min/gm feed 3.194 Rate Constant kj , gm moles/gm cat-atm-min 0.01140 Rate Constant , gm moles/gm cat-atm-min 0.00224 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 10A Feed Cyclohexane Catalyst Type Pt-ALgOg-Mordenite Code FJH-617-3RL Size, mm 0.147-0.833 Wt., gm 0.9202 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnt3 ~14 Temperature, °F 900 Pressure, psia 224.7 . Feed, psia 10.5 Hydrogen, psia 214.2 w/hr/w, gm feed/gm cat-hr 56.13 Feed Diluent, moles Hg/mole feed 20.42 Feed Rate, cnt3/hr 66.3 Minutes on Feed 125 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 4.19 Methylcyclopentane 12.88 Methylcyclopentene 0.00 Cyclohexane 61.26 Cyclohexene 0.00 Benzene 21.35 Toluene 0.00 Cs and Cg Aromatics 0.31 Hydrogen Balance, % 100.11 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant kj^ , gm moles/gm cat-atm-min 0.00461 Rate Constant k^> gm moles/gm cat-atm-min 0.00260 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 232 TABLE B RUN DATA Run Number 10B Feed Cyclohexane Catalyst Type Pt-AlgOg-Mordenite Code FJH-617-3RL Size, mm 0.147-0.833 Wt., gm 0.9202 Catalyst Diluent Mullite Size, mm 0.147-0.495 V o l ., ctiP ~14 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.5 Hydrogen, psia 214.2 w/hr/w, gm feed/gm cat-hr 56.13 Feed Diluent, moles /mole feed 20.42 Feed Rate, cut3 /hr 66.3 Minutes on Feed 165 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 3.74 Methylcyclopentane 10.65 Methylcyclopentene 0.00 Cyclohexane 63.29 Cyclohexene 0.00 Benzene 22.00 Toluene 0.00 C8 and Cg Aromatics 0.31 Hydrogen Balance, % 100.02 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant kj , gm moles/gm cat-atm-min 0.00467 Rate Constant kg , gm moles/gm cat-atm-min 0.00211 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 11A Feed Cyclohexane Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-3RM Size, m m 0.147-0.833 Wt., gm 0.5043 Catalyst Diluent Mullite Size, m m 0.147-0.495 Vol., cuP ~14 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.2 Hydrogen, psia 214.5 w/hr/v, gm feed/gm cat-hr 55.15 Feed Diluent, moles I^/mole feed 21.04 Feed Rate, cn?/hr 35.7 Minutes on Feed 120 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.39 Methylcyclopentane 13.65 Methylcyclopentene 0.00 Cyclohexane 36.10 Cyclohexene 0.00 Benzene 49.61 Toluene 0.00 C8 and Cg Aromatics 0.26 Hydrogen Balance, % 99.35 Space Time 0, gm cat-min/gm feed 1.088 Rate Constant 1^ , gm moles/gm cat-atm-min 0.01327 Rate Constant kg , gm moles/gm cat-atm-min 0.00341 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 234 TABLE B RU N DATA Run Number 12A Feed Cyclohexane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-3RN Size, mm 0.147-0.833 W t ., gm 0.4273 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cnf3 ~14 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.6 Hydrogen, psia 214.1 w/hr/w, gm feed/gm cat-hr 55.97 Feed Diluent, moles Hg/mole feed 20.24 Feed Rate, cnt3 /hr 30.7 Minutes on Feed 160 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 2.71 Methylcyclopentane 15.49 Methylcyclopentene 0.00 Cyclohexane 31.96 Cyclohexene 0.00 Benzene 49.33 Toluene 0.00 CQ and Cg Aromatics 0.50 Hydrogen Balance, % 99.40 Space Time 9, gm cat-min/gm feed 1.072 Rate Constant kj , gm moles/gm cat-atm-min 0.01378 Rate Constant , gm moles/gm cat-atm-min 0.00405 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 235 TABLE B RUN DATA Run Number 13A peed Cyclohexane Catalyst Type P t - A l ^ -Mordenite Code FJH-617-3RO Size, mm 0.147-0.833 Wt., gm 1.1329 Catalyst Diluent Mullite Size, mm 0.147-0.495 Vol., cd3 ~13 Temperature, °F 900 Pressure, psia 224.7 Feed, psia 10.6 Hydrogen, psia 214.1 w/hr/w, gm feed/gm cat-hr 56.11 Feed Diluent, moles 1^/mole feed 20.14 Feed Rate, cd3/hr 81.6 Minutes on Feed 190 Product Composition, wt. % (Hydrogen Free Basis) Cracked Gas (C6 -) 2.64 Methylcyclopentane 11.70 Methylcyclopentene 0.00 Cyclohexane 60.27 Cyclohexene 0.00 Benzene 25.23 Toluene 0.00 C8 and Cg Aromatics 0.14 Hydrogen Balance, % 101.07 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant kj, gm moles/gm cat-atm-min 0.00536 Rate Constant k^, gm moles/gm cat-atm-min 0.00232 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 236 TABLE B RUN DATA Run Number l^A Feed Cyclohexane Catalyst Type P t - A l ^ -Mordenite Code FJH-617-4RE Size, mm 0.147-0.351 Wt., gm 0.9201 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP Temperature, °F . 900 Pressure, psia 224.7 Feed, psia 10.4 Hydrogen, psia 214.3 v/hr/w, gm feed/gm cat-hr 56.13 Feed Diluent, moles Hg/mole feed 20.62 Feed Rate, cnf3/hr 66.3 Minutes on Feed 215 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 7.77 Methylcyclopentane 12.18 Methylcyclopentene 0.00 Cyclohexane 7.89 Cyclohexene 0.00 Benzene 71.11 Toluene 0.03 CB and Cg Aromatics 1.03 Hydrogen Balance, % 101.01 Space Time 9, gm cat-min/gm feed 1.069 Rate Constant kx , gm moles/gm cat-atm-min 0.03522 Rate Constant kg, gm moles/gm cat-atm-min 0.00563 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 237 TABLE B RUN DATA Run Number I*ee Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-4RE Size, mm 0.147-0.351 Wt., gm 0.9201 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cut3 Temperature, °F 800 Pressure, psia 84.7 Feed, psia 4*0 Hydrogen, psia 80.7 v/hr/w, gm feed/gm cat-hr 56.13 Feed Diluent, moles Hg/mole feed 20.42 Feed Rate, cnP/hr 66.3 Minutes on Feed 355 Product Composition, wt. % (Hydrogen Free Basis) Cracked Gas (C6-) 2.90 Methylcyclopentane 9.83 Methylcyclopentene 0.00 Cyclohexane 50.93 Cyclohexene 0.00 Benzene 36.27 Toluene 0.00 CB and Cg Aromatics 0.07 Hydrogen Balance, % 99.96 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant , gm moles/gm cat-atm-min 0.02229 Rate Constant kg, gm moles/gm cat-atm-min 0.00564 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 238 TABLE B RUN DATA Run Number 15A Feed Cyclohexane Catalyst Type Pt-ALgOg-Mordenite Code FJH-617-4RF Size, mm 0.074-0.147 Wt., gm 0.9201 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cnt3 ~14 Temperature, °F 800 Pressure, psia 84.7 Feed, psia 3.9 Hydrogen, psia 80.8 w/hr/w, gm feed/gm cat-hr 56.13 Feed Diluent, moles Hg/mole feed 20.56 Feed Rate, cnP/hr 66.3 Minutes on Feed 145 Product Composition, wt. \ (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.75 Methylcyclopentane 10.10 Methylcyclopentene 0.00 Cyclohexane 31.27 Cyclohexene 0.00 Benzene 57.58 Toluene 0.00 Ce and Cg Aromatics 0.30 Hydrogen Balance, % 100.16 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant k j , gm moles/gm cat-atm-min 0.04309 Rate Constant kg, gm moles/gm cat-atm-min 0.00706 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 239 TABLE B RUN DATA Run Number 15B Feed Cyclohexane Catalyst Type Pt-Al2 03 -Mordenite Code FJH-617-4RF Size, nnn 0.074-0.147 Wt., gm 0.9201 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cnt3 ~14 Temperature, °F 750 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 56.13 Feed Diluent, moles Hg/mole feed 20.30 Feed Rate, cnt3 /hr 66.3 Minutes on Feed 310 Product Composition, w t . % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.00 Methylcyclopentane 9.06 Methylcyclopentene 0.00 Cyclohexane 53.01 Cyclohexene 0.00 Benzene 37.87 Toluene 0.00 C8 and Cg Aromatics 0.07 Hydrogen Balance, % 100.12 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant , gm moles/gm cat-atm-min 0.02263 Rate Constant kg, gm moles/gm cat-atm-min 0.00500 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 240 TABLE B RUN DATA Run Number 16A Feed Cyclohexane Catalyst Type Pt-Als03 -Mordenite Code FJH-617-4RG Size, mm 0.147-0.351 Wt., gm 0.9204 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cnP ~14 Temperature, °F 749 Pressure, psia 84.7 Feed, psia 4*0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 56.11 Feed Diluent, moles Hg/mole feed 20.36 Feed Rate, cnt3/hr 66.3 Minutes on Feed 155 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.97 Methylcyclopentane 8.07 Methylcyclopentene 0.00 Cyclohexane 43.82 Cyclohexene 0.00 Benzene 47.01 Toluene 0.00 C8 and Cg Aromatics 0.13 Hydrogen Balance, % 100.96 Space Time 0, gm cat-min/gm feed 1.069 Rate Constant kj, gm moles/gm cat-atm-min 0.03089 Rate Constant kg, gm moles/gm cat-atm-min 0.00487 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 241 TABLE B R U N DATA Run Number 17A Feed Cyclohexane Catalyst Type Pt-Al8 03 -Mordenite Code FJH-617-4RH Size, nnn • 0.074-0.147 Wt., gm 0.5072 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cnt3 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 3.9 Hydrogen, psia 80.8 . w/hr/w, gm feed/gm cat-hr 78.33 Feed Diluent, moles 1^/mole feed 20.84 Feed Rate, cnt3/hr 51.0 Minutes on Feed 160 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.39 Methylcyclopentane 9.26 Methylcyclopentene 0.00 Cyclohexane 42.97 Cyclohexene 0.00 Benzene 47.15 Toluene 0.00 CB and Cg Aromatics 0.23 Hydrogen Balance, % 99.91 Space Time 0, gm cat-min/gm feed 0.766 Rate Constant 1^, gm moles/gm cat-atm-min 0.04393 Rate Constant kg, gm moles/gm cat-atm-min 0.00801 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 242 TABLE B RUN DATA Run Number 18A Feed Cyclohexane Catalyst Type Pt-AL,03 -Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 Wt . , gm 0.5072 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnt* ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 3.9 Hydrogen, psia 80.8 w/hr/w, gm feed/gm cat-hr 78.33 Feed Diluent, moles Hg/mole feed 20.59 Feed Rate, cn?/hr 51.0 Minutes on Feed 155 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.00 Methylcyclopentane 9.44 Methylcyclopentene 0.00 Cyclohexane 39.27 Cyclohexene 0.00 Benzene 51.03 Toluene 0^.00 C8 and Cg Aromatics 0.27 Hydrogen Balance, % 100.50 Space Time 0, gm cat-min/gm feed 0.766 Rate Constant kj, gm moles/gm cat-atm-min 0.04873 Rate Constant kg, gm moles/gm cat-atm-min 0.00836 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 19A Feed Cyclohexane Catalyst Type Pt-ALg03 -Mordenite Code FJH-617-4RJ Size, mm 0.147-0.351 Wt., gm 0.4500 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cn? ~14 Temperature, °F 800 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 105.94 Feed Diluent, moles Hg/mole feed 20.38 Feed Rate, cnt3/hr 61.2 Minutes on Feed 155 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.39 Methylcyclopentane 8.08 Methylcyclopentene 0.00 Cyclohexane' 42.23 Cyclohexene 0.00 Benzene 49.30 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, % 100.09 Space Time 0, gm cat-min/gm feed 0.566 Rate Constant kj, gm moles/gm cat-atm-min 0.06082 Rate Constant kg, gm moles/gm cat-atm-min 0.00929 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 244 TABLE B RUN DATA Run Number 20A Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-4RK Size, mm 0.074-0.147 Wt., gm 0.4501 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cut3 ~14 Temperature, °F 800 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 105.92 Feed Diluent, moles H g / m o l e 20.33 Feed Rate, cnt3/hr 61.2 Minutes on Feed 135 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.00 - Methylcyclopentane 8.30 Methylcyclopentene 0.00 Cyclohexane 36.86 Cyclohexene 0.00 Benzene 54.81 Toluene 0.00 C8 and Cg Aromatics 0.03 Hydrogen Balance, % 99.59 Space Time 0, gm cat-min/gm feed 0.566 Rate Constant kj^ , gm moles/gm cat-atm-min 0.07119 Rate Constant kg, gm moles/gm cat-atm-min 0.01004 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 21A Feed Cyclohexane Catalyst Type Pt-AlgOa-Mordenite Code FJH-617-4RL Size, ntm 0.147-0.351 Wt., gm 0.7095 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cni3 ~14 Temperature, °F 774 Pressure, psia 84.7 Feed, psia 3.9 Hydrogen, psia 80.8 w/hr/w, gm feed/gm cat-hr 78.39 Feed Diluent, moles 1^/mole feed 20.51 . . Feed Rate, cm3 /hr 71.4 Minutes on Feed 125 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.71 Methylcyclopentane 8.13 Methylcyclopentene 0.00 Cyclohexane 49.34 Cyclohexene 0.00 Benzene 41.78 Toluene 0.00 Ce and Cg Aromatics 0.03 Hydrogen Balance, % 99.39 Space Time 0, gm cat-min/gm feed 0.765 Rate Constant , gm moles/gm cat-atm-min 0.03617 Rate Constant kg, gm moles/gm cat-atm-min 0.00654 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 22A Feed Cyclohexane Catalyst Type Pt-AlgOg-Mordenite Code FJH-617-4EM v Size, mm 0.147-0.351 Wt., gm 0.3050 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 78.33 Feed Diluent, moles Hj/mole feed 20.33 Feed Rate, cnt3 /hr 30.7 Minutes on Feed 190 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.51 Methylcyclopentane 6.89 Methylcyclopentene 0.00 Cyclohexane 43.25 Cyclohexene 0.00 Benzene 48.99 Toluene ' 0.00 CB and Cg Aromatics 0.36 Hydrogen Balance, % 99.40 Space Time 0, gm cat-min/gm feed 0.766 Rate Constant kj , gm moles/gm cat-atm-min 0.04449 Rate Constant kg, gm moles/gm cat-atm-min 0.00579 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 23A Feed Cyclohexane ’ Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-4RN Size, mm 0.147-0.351 Wt., Gm 0.4060 Catalyst Diluent Mullite Size, mm * 0.147-0.208 Vol., ctrP ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 78.28 Feed Diluent, moles I^/mole feed 20.23 Feed Rate, cnP/hr 40.8 Minutes on Feed 145 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Ce -) 0.79 Methylcyclopentane 8.73 Methylcyclopentene 0.00 Cyclohexane 40.03 Cyclohexene 0.00 Benzene 50.42 Toluene 0.00 Ce and Cg Aromatics 0.03 Hydrogen Balance, % 99.94 Space Time 0, gm cat-min/gm feed 0.766 Rate Constant kj, gm moles/gm cat-atm-min 0.04706 Rate Constant kg, gm moles/gm cat-atm-min 0.00756 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 24A Feed Cyclohexane Catalyst Type P t - A L ^ -Mordenite Code FJH-617-4R0 Size, mm 0.833-1.397 Wt., gm 0.5066 Catalyst Diluent Mullite Size, mm 0.495-0.833 Vol., cnt3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 78.42 Feed Diluent, moles Hj/mole feed 20.37 Feed Rate, cnt3/hr 51.0 Minutes on Feed 170 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 1.34 Methylcyclopentane 4.67 Methylcyclopentene 0.00 Cyclohexane 79.59 Cyclohexene 0.00 Benzene 14.35 Toluene 0.00 Cg and Cg Aromatics 0.05 Hydrogen Balance, % 99.39 Space Time 0, gm cat-min/gm feed 0.765 Rate Constant kj , gm moles/gm cat-atm-min 0.00999 Rate Constant kg, gm moles/gm cat-atm-min 0.00302 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 25A Feed Cyclohexane Catalyst Type Pt-AlgOg-Mordenite Code FJH-617-4RP Size, mm 0.351-0.833 Wt., gm 0.5069 Catalyst Diluent Mullite Size, mm 0.351-0.495 Vol., cnt3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 78.38 Feed Diluent, moles Hg/mole feed 20.34 Feed Rate, cnt3/hr 51.0 Minutes on Feed 175 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.77 Methylcyclopentane 3.60 Methylcyclopentene 0.00 Cyclohexane 57.42 Cyclohexene 0.00 Benzene 38.18 Toluene 0.00 C8 and Cg Aromatics 0.04 Hydrogen Balance, % 99.27 Space Time 0, gm cat-min/gm feed 0.766 Rate Constant , gm moles/gm cat-atm-min 0.03064 Rate Constant kg, gm moles/gm cat-atm-min 0.00267 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 26A Feed Cyclohexane Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-6RC Size, mm 0.147-0.351 W t ., gm 9.4286 Catalyst Diluent None Size, mm Vol., cnt3 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 3.37 Feed Diluent, moles Ilg/mole feed 20.14 Feed Rate, cm3/hr 40.8 Minutes on Feed 180 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 5.38 Methylcyclopentane 11.23 Methylcyclopentene 0.00 Cyclohexane 3.33 Cyclohexene 0.00 Benzene 79.33 Toluene 0.02 CB and Cg Aromatics 0.70 Hydrogen Balance, % 99.82 Space Time 0, gm cat-min/gm feed 17.799 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 251 TABLE B RUN DATA Run Number . 27A Feed Cyclohexane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-6RD Size, mm 0.147-0.351 Wt., gm 0.8057 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnf3 <^13 Temperature, °F 775 Pressure, psia 84.7 Fee’d, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 39.45 Feed Diluent, moles I^/mole feed 20.00 Feed Rate, cnf3/hr 40.8 Minutes on Feed 160 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 1.47 Methylcyclopentane 11.16 Methylcyclopentene 0.00 Cyclohexane 22.05 Cyclohexene 0.00 Benzene 65.21 Toluene 0.00 C8 and Cg Aromatics 0.10 Hydrogen Balance, % 99.39 Space Time 0, gm cat-min/gm feed 1.521 Rate Constant kj , gm moles/gm cat-atm-min 0.03890 Rate Constant k^ , gm moles/gm cat-atm-min 0.00617 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 252 TABLE B RUN DATA Run Number 28A Feed Cyclohexane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-6RF Size, mm 0.147-0.351 Wt., gm 0.2897 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., ctiP <—14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 109.71 Feed Diluent, moles I^/mole feed 20.14 Feed Rate, cnP/hr 40.8 Minutes on Feed 165 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.78 Methylcyclopentane 6.92 Methylcyclopentene 0.00 Cyclohexane 50.00 Cyclohexene 0.00 Benzene 42.11 Toluene 0.00 C8 and Cg Aromatics 0.18 Hydrogen Balance, % 100.65 Space Time 9, gm cat-min/gm feed 0.547 Rate Constant kj , gm moles/gm cat-atm-min 0.04988 Rate Constant kg-, gm moles/gm cat-atm-min 0.00760 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 253 TABLE B RUN DATA Run Number s 28B Feed Cyclohexane Catalyst Type Pt-ALg03 -Mordenite Code FJH-617-6RF Size, mm 0.147-0.351 Wt., gm 0.2897 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnf3 **'14 . Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 137.14 Feed Diluent, moles Hg/mole feed 20.41 Feed Rate, cnt3/hr 51.0 Minutes on Feed 330 Product Composition, wt. % (Hydrogen Free Base)______ Cracked Gas (C6-) 0.68 Methylcyclopentane 6.27 Methylcyclopentene 0.00 Cyclohexane 55.67 Cyclohexene 0.00 Benzene 37.38 Toluene 0.00 CB and Cg Aromatics 0.00 Hydrogen Balance, % 100.47 Space Time 0, gm cat-min/gm feed 0.438 Rate Constant , gm moles/gm cat-atm-min 0.05339 Rate Constant kg, gm moles/gm cat-atm-min 0.00830 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 254 TABLE B RUN DATA Run Number 28C Feed Cyclohexane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-6RF Size, mm 0.147-0.351 Wt., gm 0.2897 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnt3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia .80.7 w/hr/w, gm feed/gm cat-hr 109.71 Feed Diluent, moles Hg/mole feed 20.01 Feed Rate, cnt3/hr 40.8 Minutes on Feed 490 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.22 Methylcyclopentane 6.92 Methylcyclopentene 0.00 Cyclohexane «. 50.97 Cyclohexene 0.00 Benzene 41.80 Toluene 0.00 C8 and Cg Aromatics 0.09 Hydrogen Balance, % 99.80 Space Time 0, gm cat-min/gm feed 0.547 Rate Constant kj, gm moles/gm cat-atm-min 0.04862 Rate Constant kg, gm moles/gm cat-atm-min 0.00746 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 29A Feed Cyclohexane Catalyst Type Pt-AlgOg Code FJH-618-1RF Size, mm 0.147-0.833 Wt., gm , 1.5245 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnt3 ~13 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 20.85 Feed Diluent, moles Hj/mole feed 20.05 Feed Rate, cnf3/hr 40.8 Minutes on Feed 145 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Ce -) 0.00 Methylcyclopentane 0.00 Methylcyclopentene 8.26 Cyclohexane 0.00 Cyclohexene 0.00 Benzene 91.74 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, 7» 99.74 « Space Time 0, gm cat-min/gm feed 2.878 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 3QA Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-6RG Size, mm 0.147-0.351 Wt., gm 0.0973 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnf3 ~15 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.70 w/hr/w, gm feed/gm cat-hr 326.65 Feed Diluent, moles Hj/mole feed 20.20 Feed Rate, cnf3/hr 40.8 Minutes on Feed 165 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Ce -) 0.78 Methylcyclopentane 2.36 Methylcyclopentene 0.00 Cyclohexane 78.14 Cyclohexene 0.00 Benzene 18.68 Toluene 0.00 Ce and Cg Aromatics 0.05 Hydrogen Balance, % 100.41 Space Time 0, gm cat-min/gm feed 0.184 Rate Constant 1^, gm moles/gm cat-atm-min 0.05398 Rate Constant kg, gm moles/gm cat-atm-min 0.00631 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 31A Peed Cyclohexane Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-6RJ Size, mm 0.147-0.351 Wt., gm 0.1750 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 181.62 Feed Diluent, moles Hj/mole feed 20.14 Feed Rate, cut3/hr 40.8 Minutes on Feed 160 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Ce -) 0.83 Methylcyclopentane 3.54 Methylcyclopentene 0.00 Cyclohexane 72.00 Cyclohexene 0.00 Benzene 23.63 Toluene 0.00 C8 and Cg Aromatics 0.01 Hydrogen Balance, % 100.57 Space Time 0, gm cat-min/gm feed 0.330 Rate Constant 1^ , gm moles/gm cat-atm-min 0.03931 Rate Constant 1^, gm moles/gm cat-atm-min 0.00546 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 33A Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-6RM Size, mm 0.147-0.351 Wt., gm 0.3647 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.94 Feed Diluent, moles Hj/mole feed 20.38 Feed Rate, cut3/hr 51.0 Minutes on Feed 150 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 1.20 Methylcyclopentane 8.15 Methylcyclopentene 0.00 Cyclohexane 54.25 Cyclohexene 0.00 Benzene 36.40 Toluene 0.00 C8 and Cg Aromatics 0.00 Hydrogen Balance, % 100.56 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kj, gm moles/gm cat-atm-min 0.04185 Rate Constant kg, gm moles/gm cat-atm-min 0.00871 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 33B Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-6RM Size, mm 0.147-0.351 Wt., gm 0.3647 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnt3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 2.7 Hydrogen, psia 82.0 w/hr/w, gm feed/gm cat-hr 108.94 Feed Diluent, moles i^/mole feed 30.34 Feed Rate, cnP/hr 51.0 Minutes on Feed 300 Product Composition, wt. 7, (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 1.55 Methylcyclopentane 6.44 Methylcyclopentene 0.00 Cyclohexane 58.75 Cyclohexene 0.00 Benzene 33.26 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, % 100.12 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kj, gm moles/gm cat-atm-min 0.05421 Rate Constant kg, gm moles/gm cat-atm-min 0.00974 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 33C Peed Cyclohexane Catalyst Type Pt-Al203 -Mordenite Code FJH-617-6RM Size, mm 0.147-0.351 Wt,, gm 0.3647 Catalyst Diluent Mullite Size, irnn 0.147-0.208 Vol., cut* '"'15 Temperature, °F 775 Pressure, psia 84.7 Feed, psia' 5.2 Hydrogen, psia 79.5 w/hr/v, gm feed/gm cat-hr 108.94 Feed Diluent, moles .Hg/mole feed 15.17 Feed Rate, cni3/hr 51.0 Minutes on Feed 455 Product Composition, wt. % " (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.94 Methylcyclopentane 8.36 Methylcyclopentene 0.00 Cyclohexane 55.48 Cyclohexene 0.00 Benzene 35.22 Toluene 0.00 C8 and Cg Aromatics 0.00 Hydrogen Balance, % 100.04 Space Time 6 , gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.03028 Rate Constant kg, gm moles/gm cat-atm-min 0.00669 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 33D Feed Cyclohexane Catalyst Type Pt-ALg03 -Mordenite Code FJH-617-6RM Size, mm 0.147-0.351 Wt., gm 0.3647 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.94 Feed Diluent, moles Hg/mole feed 20.33 Feed Rate, cntVhr 51.0 Minutes on Feed 590 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 1.31 Methylcyclopentane 8.47 Methylcyclopentene 0.00 Cyclohexane 57.46 Cyclohexene 0.00 Benzene 32.76 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, % 100.68 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.03665 Rate Constant kg, gm moles/gm cat-atm-min 0.00881 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 35A Feed Cyclohexane Catalyst Type Pt-AlgO^ -Mordenite Code FJH-617-4RS Size, nnn 0.147-0.351 Wt., gm 0.2926 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnf3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr ■ 108.62 Feed Diluent, moles Hg/mole feed 20.06 Feed Rate, cnf3/hr 40.8 Minutes on Feed 160 Product Composition, wt. % (Hydrogen Free Basis) Cracked Gas (C6 -) 0.73 Methylcyclopentane 7.12 Methylcyclopentene 0.00 Cyclohexane 53.47 Cyclohexene 0.00 Benzene 38.55 Toluene 0.00 Ce and Cg Aromatics 0.14 Hydrogen Balance, % 99.70 Space Time 0, gm cat-min/gm feed 0.552 Rate Constant , gm moles/gm cat-atm-min 0.04372 Rate Constant 1^, gm moles/gm cat-atm-min 0.00750 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 35B Feed Cyclohexane Catalyst Type Pt-ALjOg -Mordenite Code FJH-617-4RS Size, mm 0.147-0.351 Wt., gm 0.2926 Catalyst Diluent Mulllte Size, mm 0.147-0.208 Vol., cnf3 ~14 Temperature, °F 775 Pressure, psia 134.7 Feed, psia 6.4 Hydrogen, psia 128.3 w/hr/w, gm feed/gm cat-hr 108.62 Feed Diluent, moles 1^/mole feed 20.05 Feed Rate, cnf3/hr 40.8 Minutes on Feed 320 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.54 Methylcyclopentane 8.53 Methylcyclopentene 0.00 Cyclohexane 45.54 Cyclohexene 0.00 Benzene 44.81 Toluene 0.00 Ce and Cg Aromatics 0.58 Hydrogen Balance, % 99.35 Space Time 0, gm cat-min/gm feed 0.552 Rate Constant kj, gm moles/gm cat-atm-min 0.03530 Rate Constant kg, gm moles/gm cat-atm-min 0.00609 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 35C Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-4RS Size, mm 0.147-0.351 Wt., gm 0.2926 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cm3 ''■'14- Temperature, °F 776 Pressure, psia 109.7 Feed, psia 5.2 Hydrogen, psia 104.5 w/hr/w, gm feed/gm cat-hr 108.62 Feed Diluent, moles Hg/mole feed 20.04 Feed Rate, cnf3/hr 40.8 Minutes on Feed 475 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.61 Methylcyclopentane 8.26 Methylcyclopentene 0.00 Cyclohexane 52.16 Cyclohexene 0.00 Benzene 38.79 Toluene 0.00 Ce and Cg Aromatics 0.17 Hydrogen Balance, % 99.11 Space Time 0, gm cat-min/gm feed 0.552 Rate Constant kx, gm moles/gm cat-atm-min 0.03458 Rate Constant kg, gm moles/gm cat-atm-min 0.00679 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 36A Feed Cyclohexane Catalyst Type I’t-ALgtk Code FJH-618-7RD Size, nnn 0.147-0.351 Wt., gm 0.2926 Catalyst Diluent Miillite Size, mm 0.147-0.208 Vol., cm3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.62 Feed Diluent, moles I^/mole feed 20.04 Feed Rate, cnP/hr 40.8 Minutes on Feed 140 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 ~) 0.61 Methylcyclopentane 0..38 Methylcyclopentene 0.00 Cyclohexane 53.74 Cyclohexene 0.00 Benzene 45.26 Toluene 0.00 C8 and Cg Aromatics 0.00 Hydrogen Balance, % 99.69 Space Time 0, gm cat-min/gm feed 0.552 Rate Constant kx, gm moles/gm cat-atm-min 0.05101 Rate Constant , gm moles/gm cat-atm-min 0.00040 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 37A Feed Cyclohexane Catalyst Type Pt-AlgOg Code FJH-618-7RE Size, mm 0.074-0.147 Wt., gm 0.2920 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cni3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.85 Feed Diluent, moles Hg/mole feed 20.33 Feed Rate, cm3/hr 40.8 Minutes on Feed 145 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.64 Methylcyclopentane 0.33 Methylcyclopentene 0.00 Cyclohexane 49.11 Cyclohexene 0.00 Benzene 49.92 Toluene 0.00 C8 and Cg Aroma tics 0.00 Hydrogen Balance, % 100.61 Space Time 9, gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.05946 Rate Constant kg, gm moles/gm cat-atm-min 0.00037 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 38A Feed Cyclohexane Catalyst Type Pt-Al203 Code FJH-618-7RF Size, mm 0.074-0.147 Wt., gm 0.2913 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cni3 • ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 109.11 Feed Diluent, moles 1^/mole feed 20.09 Feed Rate, cnf3 /hr 40.8 Minutes on Feed 150 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C8-) 0.72 Methylcyclopentane 0.37' Methylcyclopentene 0.00 Cyclohexane 46.11 Cyclohexene 0.00 Benzene 52.80 Toluene 0.00 C8 and Cg Aromatics 0.00 Hydrogen Balance, % 100.23 Space Time 0, gm cat-min/gm feed 0.550 Rate Constant 1^, gm moles/gm cat-atm-min 0.06408 Rate Constant kj , gm moles/gm cat-atm-min 0.00042 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 39A Feed Cyclohexane Catalyst Type Pt-Al203 Code FJH-618-10RD Size, mm 0.044-0.074 W t., gm 0.2922 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cnt3 ~14 Temperature, °F 774 Pressure, psia 84.7 Feed, psia 3.9 Hydrogen, psia 80.3 w/hr/w, gm feed/gm cat-hr 108.77 Feed Diluent, moles B^/mole feed 20.68 Feed Rate, cm3/hr 40.8 Minutes on Feed 140 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.74 Methylcyclopentane 0.85 Methylcyclopentene 0.00 Cyclohexane 28.63 Cyclohexene 0.00 Benzene 69.78 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, % 100.20 Space Time 0, gm cat-min/gm feed 0.552 Rate Constant kj, gm moles/gm cat-atm-min 0.10613 Rate Constant kg, gm moles/gm cat-atm-min 0.00118 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 40A Feed Cyclohexane Catalyst Type Pt-AlgOg Code FJH-618-10RF Size, mm 0.044-0.074 Wt., gm 0.2922 Catalyst Diluent Mullite Size, mm 0.074-0.147 Vol., cni3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.77 Feed Diluent, moles Rj/mole feed 20.05 Feed Rate, cni3/hr 40.8 Minutes on Feed 120 Product Composition, wt. 7» (Hydrogen Free Basis)_____ Cracked Gas (Ce -) 0.68 Methylcyclopentane 0.35 Methylcyclopentene 0.00 Cyclohexane 33.08 Cyclohexene 0.00 Benzene 65.89 Toluene 0.00 C8 and Cg Aromatics 0.00 Hydrogen Balance, % 100.30 Space Time 0, gm cat-min/gm feed 0.552 Rate Constant kj, gm moles/gm cat-atm-min 0.09159 Rate Constant kg, gm moles/gm cat-atm-min 0.00045 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41A Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnt* ~14 Temperature, °F 775 Pressure, psia 134.7' Feed, psia 6.4 Hydrogen, psia 128.3 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles l^/mole feed 20.07 Feed Rate, cnP/hr 40.8 Minutes on Feed 150 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.59 Methylcyclopentane 9.78 Methylcyclopentene 0.00 Cyclohexane 43.44 Cyclohexene 0.00 Benzene 46.19 Toluene 0.00 C8 and Cg Aroma tics 0.00 Hydrogen Balance, % 100.92 Space Time 6 , gm cat-min/gm feed 0.551 Rate Constant kj , gm moles/gm cat-atm-min 0.03721 Rate Constant kg, gm moles/gm cat-atm-min ' 0.00713 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41B Feed Cyclohexane Catalyst Type Pt-ALgGtj -Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol. , cut3 ~14 Temperature, °F 775 Pressure, psia 109.7 Feed, psia 5.2 Hydrogen, psia 104.5 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles H^/mole feed 20.29 Feed Rate, cnt3/hr 40.8 Minutes on Feed 355 Product Composition, wt. 7> (Hydrogen Free Basis)_____ Cracked Gas (Ce-) 0.61 Methylcyclopentane 8.94 Methylcyclopentene 0.00 Cyclohexane 45.73 Cyclohexene 0.00 Benzene 44.45 Toluene 0.00 Ca a n d Cg Aromatics 0.26 Hydrogen Balance, % 99.97 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.04267 Rate Constant kg , gm moles/gm cat-atm-min 0.00790 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41C Feed Cyclohexane Catalyst Type Pt-Al803 -Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 W t ., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cut3 ~14 Temperature, °F -775 Pressure, psia 54.7 Feed, psia 2.6 Hydrogen, psia 52.1 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles Hj/mole feed 20.06 Feed Rate, cnP/hr 40.8 Minutes on Feed 505 Product Composition, wt. (Hydrogen Free Basis)_____ Cracked Gas (C6 -) 0.53 Methylcyclopentane 3.71 Methylcyclopentene 0.00 Cyclohexane 63.52 Cyclohexene 0.00 Benzene 32.14 Toluene 0.00 C8 and Cg Aroma tics 0.10 Hydrogen Balance, % 99.43 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kj, gm moles/gm cat-atm-min 0.05206 Rate Constant kg, gm moles/gm cat-atm-min 0.00558 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41D Feed Cyclohexane Catalyst Type Pt-ALgOa-Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cm3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 2.7 Hydrogen, psia 82.0 w/hr/w, gm feed/gm cat-hr 108.81 FeedDiluent, Moles Hg/raole feed 29.90 Feed Rate, cnP/hr 40.8 Minutes on Feed 650 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.77 Methylcyclopentane 6.88 Methylcyclopentene 0.00 Cyclohexane 54.80 Cyclohexene 0.00 Benzene 37.55 Toluene 0.00 Ca and Cg Aromatics 0.00 Hydrogen Balance, % . 100.58 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kj, gm moles/gm cat-atm-min 0.06190 Rate Constant kg , gm moles/gm cat-atm-min 0.01052 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41E Feed Cyclohexane Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-4RI Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnf3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 5.3 Hydrogen, psia 79.4 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles Hj/mole feed 14.97 Feed Rate, cnt3 /hr 40.8 Minutes on Feed 795 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (C6-) 0.48 Methylcyclopentane 7.93 Methylcyclopentene 0.00 Cyclohexane 51.76 Cyclohexene 0.00 Benzene 39.83 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, % 100.48 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kj, gm moles/gm cat-atm-min 0.03473 Rate Constant , gm moles/gm cat-atm-min 0.00643 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41F Feed Cyclohexane Catalyst Type Pt-Alg03 -Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cut3 ~14 Temperature, °F _ 750 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles Hj/mole feed 20.14 Feed Rate, cnP/hr 40.8 Minutes on Feed 945 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Ce -) 1.20 Methyicyclopentane 6.36 Methylcyclopentene 0.00 Cyclohexane 60.80 Cyclohexene 0.00 Benzene 31.64 Toluene 0.00 C8 and Cg Aroma tics 0.00 Hydrogen Balance, % 100.24 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant , gm moles/gm cat-atm-min 0.03435 Rate Constant kg, gm moles/gm cat-atm-min 0.00637 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41G Feed Cyclohexane Catalyst Type Pt-AlgOg -Mordenite Code FJH-617-4RT Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnf3 ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia ' 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles Hj/mole feed 20.14 Feed Rate, cnf3/hr 40.8 Minutes on Feed 1085 Product Composition, wt.% (Hydrogen Free Basis) Cracked Gas (Cg -) 0.67 Methylcyclopentane 7.09 Methylcyclopentene 0.00 Cyclohexane 54.42 Cyclohexene 0.00 Benzene 37.82 Toluene 0.00 Cg and Cg Aromatics 0.00 Hydrogen Balance, % 99.64 Space Time 6 , gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.04274 Rate Constant kg, gm moles/gm cat-atm-min 0.00743 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 41H Feed Cydohexane Catalyst Type Pt-AlgOa -Mordenite Code FJH-617-4RT Size, m m 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~14 Temperature, 0 P 724 Pressure, psia 83.7 Feed, psia 4.0 Hydrogen, psia 79.7 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles /mole feed 20.16 Feed Rate, cnP/hr 40.8 Minutes on Feed 1230 Product Composition, wt. % (Hydrogen Free Basis)______ Cracked Gas (C6 -) 0.55 Methylcyclopentane 5.23 Methylcyclopentene 0.00 Cyclohexane 68.22 Cvclohexene 0.00 Benzene 26.00 Toluene 0.00 Ce and Cg Aromatics 0.00 Hydrogen Balance, % 98.89 Space Time 9, gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.02730 Rate Constant Ife , gm moles/gm cat-atm-min 0.00502 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 43A Feed Cydohexane Catalyst Type Ft-AlgOa Code FJH-618-7RG Size, mm 0.3J1-0.833 Wt., gm 0.2930 Catalyst Diluent Mullite Size, mm 0.351-0.495 Vol., cnP ~14 Temperature, °F 775 Pressure, psia 84.7 Feed, psia 4.0 Hydrogen, psia 80.7 w/hr/w, gm feed/gm cat-hr 108.47 Feed Diluent, moles Ife /mole feed 20.10 Feed Rate, cnP/hr 40.8 Minutes on Feed 120 Product Composition, wt.% (Hydrogen Free Basis) Cracked Gas (Cg -) 0.57 Methylcyclopentane 0.59 Methylcyclopentene 0.00 Cyclohexane 81.34 Cyclohexene 0.00 Benzene 17.50 Toluene 0.00 Cg and Cg Aromatics 0.00 Hydrogen Balance, % 100.57 Space Time 0, gm cat-min/gm feed 0.553 Rate Constant kx , gm moles/gm cat-atm-min 0.01637 Rate Constant , gm moles/gm cat-atm-min 0.00051 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 44A Feed Cydohexane Catalyst Type Pt-AIg O3 -Mordenite Code FJH-617-6RN Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~14 Temperature, °F 775 Pressure, psia 132.7 Feed, psia 2.6 Hydrogen, psia 130.1 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles /mole feed 49.48 Feed Rate, cnP/hr 40.8 Minutes on Feed 140 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Cg -) 0.76 Methylcyclopentane 7.87 Methylcyclopentene 0.00 Cyclohexane 52.49 Cyclohexene 0.00 Benzene 38.89 Toluene 0.00 Cq and C9 Aromatics 0.00 Hydrogen Balance, % 100.79 Space Time 0, gm cat-min/gm feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.06970 Rate Constant leg , gm moles/gm cat-atm-min 0.01283 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE B RUN DATA Run Number 44B Feed Cydohexane Catalyst Type Pt-Alg Cfe-Mordenite Code FJH-617-6RN Size, mm 0.147-0.351 Wt., gm 0.2921 Catalyst Diluent Mullite Size, mm 0.147-0.208 Vol., cnP ~ 1 4 Temperature, °F 775 Pressure, psia 107.7 Feed, psia 2.6 Hydrogen, psia 105.1 w/hr/w, gm feed/gm cat-hr 108.81 Feed Diluent, moles lfc/mole feed 40.04 Feed Rate, cut3/hr 40.8 Minutes on Feed 235 Product Composition, wt. % (Hydrogen Free Basis)_____ Cracked Gas (Cg -) 0.54 Methylcyclopentane 7.09 Methylcyclopentene 0.00 Cyclohexane 56.36 Cyclohexene 0.00 Benzene 36.01 Toluene 0.00 Cq and Cg Aromatics 0.00 Hydrogen Balance, % 101.18 Space Time 8 , gm cat-min/gra feed 0.551 Rate Constant kx , gm moles/gm cat-atm-min 0.06160 Rate Constant Ife , gm moles/gm cat-atm-min 0.01119 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX C SAMPLE CALCULATIONS Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX G . SAMPLE CALCULATIONS All material balance and rate constant calculations for this investigation were made using the computer program listed in Appendix E. All computations using this program were made at the Louisiana State University Computing Center using either the IBM-7044 or OS/360 computers. The sample calculations listed in this Appendix illustrate the calculation of yields and material balance for a typical experi mental run. Any slight discrepancies noted in the final results listed here and those listed in Appendix B for this run can be attrib uted to manual versus computer calculation. A detailed explanation of the calculational method for the rate constants from the experimental data is given in Chapter V and not included here. Process Experimental Data Run number 35A Feed Cyclohexane Catalyst Pt-AlgC^ -Mordenite Catalyst size range 0.147-0.351 mm Catalyst weight 0.2926 gm Catalyst diluent Mullite Catalyst diluent size range 0.147-0.208 mm Catalyst diluent volume ~14 cnt3 282 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 283 Temperature 775° F Pressure 84.7 psia Length of material balance period 20 min Feed in 13.59,cn? Hydrogen in 2.281 ft? Temperature of hydrogen in 80PF Product gas out 2.524 ft? Temperature of product gas out 80Pp Liquid product out 0.0139 gm The quantity of liquid product obtained in this and almost all runs on cyclohexane was too small to be analyzed on the gas chromato graph. For all of the runs where a liquid product was obtained that was too small to be analyzed, it was called Cg residue for the computer calculation. Duplicate computer workups on all experimental runs where liquid products were obtained that were too small for analysis showed no discernible difference in the yields or rate constants. For the purposes of this sample calculation, the liquid product obtained in this run was neglected although it was included in the final workup listed in Appendix B. The degree of hydrocracking in all of the cyclohexane runs was small. Excluding the equilibrium run (26A), the highest hydrocracking yield was 1.5% with most runs having about 0.5% hydrocracking. Since the hydrocracking yields were so small for the cyclohexane runs, all of the components produced from hydrocracking cyclohexane were lumped together into a single component called cracked gas. It was assumed ic Cx through C6 paraffins. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 284 \ that this cracked gas component could be represented on the average by i-pentane. In the runs using n-heptane or methylcyclopentane as feeds where hydrocracking was appreciable, all components from hydro cracking were treated separately. B. Product Gas Analysis from Chromatograph Component Peak Area Cracked gas 0.10 Cyclohexane 6 .77 Methylcyclopentane 0.94 Benzene 4.89 C. Yield and Material Balance Calculations Basis: 20 minute balance period Weight of cyclohexane fed =» (13.59 cut3)(0.779 gm/cnt3) ** 10.59 gm Gram moles of cyclohexane fed *» (10.59 gm)/(84.16 gm/gm mole) = 0.1258 gm moles Grams of carbon in cyclohexane feed = (0.1258 gm moles) x (72.06 gm C/mole cyclohexane) = 9.065 gm Grams of in cyclohexane feed = (0.1258 gm moles) x (12.10 gm l^/mole cyclohexane) = 1.522 gm Weight hourly space velocity = (10.59 gm/20 min)(60 min/hr)/ (0.2926 gm) = 108.6 gm/hr/gm Space Time 0 ** (60 min/hr)/108.6 gm/hr/gm) ** 0.555 gm cat-min/gm feed Volume of gas in at 6 GPF and 1 atm = (2.281 ft?)(0.926) ** 2.112 ft? Gram moles of gas in = (2.112 ft?)(1.20 gm moles/ft?) = 2.534 gm moles Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 285 Partial pressure of cyclohexane = (84.7 psia)(0.1258)/ (0.1258 + 2.534) = 4.01 psia Partial pressure of hydrogen = 84.7 - 4.01 = 80.69 psia Hydrogen to cyclohexane mole ratio = (2.534 gm moles)/ (0.1258 gm moles) = 20.14 Volume of product gas out at 6 CPF and 1 atm = (2.524 ft3)(0.926) - 2.337 ft3 Gram moles of product gas out = (2.337 ft3 ) (1.20 gm moles/ft3 ) = 2.804 gm moles Assume grams of carbon in cyclohexane feed = grams of carbon in product = 9.065 gm Gas chromatograph molar weighting factors for hydrocarbons in gas out: Peak Area x Component GC Calibration Factor Holes (unsealed) Cracked gas (0.10)(1.580) = 0.1580 Cyclohexane (6.77)(1.471) = 9.9587 Methylcyclopentane (0.94)(1.411) - 1.3263 Benzene (4.89)(1.582) = 7.7360 £ Moles (unsealed) = 19.1790 Hydrogen-free mole fractions of hydrocarbons: Moles (unsealed)/ Component E Moles (unsealed) Mole Fraction Cracked gas 0.1580/19.1790 = 0.0080 Cyclohexane 9.9587/19.1790 = 0.5192 Methylcyclopentane 1.3263/19.1790 = 0.0692 Benzene 7.7360/19.1790 - 0.4036 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 286 Grams of carbon per gram mole of hydrocarbon gas out: (Hj-free mole fraction) x (grams of Grams carbon per Component carbon per gram mole) gram mole gas out Cracked gas (0.0080)(60.05) 0.480 Cyclohexane (0.5192)(72.06) 37.413 Methylcyclopentane (0.0692)(72.06 4.987 Benzene (0.4036)(72.06) 29.083 E = 71.963 gm C/ gm mole Actual gram moles of hydrocarbon out = actual grams of carbon out/grams of carbon per gm mole of hydrocarbon gas out = 9.065 gm C/71.963 gm C/gm mole = 0.1260 gm mole. Gram moles of hydrocarbons in gas out: (Hj -free ,mole gm moles of hydro fraction) x (gm moles carbon component hydrocarbon out)Component in gas out Cracked gas (0.0080)(0.1260) 0.00101 Cyclohexane (0.5192)(0.1260) 0.06542 Methylcyclopentane (0.0692)(0.1260) 0.00872 Benzene (0.4036)(0.1260) 0.05085 0.12600 gm moles Grams of hydrocarbon in gas out: Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 287 (gram moles) x Grams of Component (molecular weight) hydrocarbon out Cracked gas (0.00101)(72.15) 0.073 Cyclohexane (0.06542)(84.16) 5.506 Methylcyclopentane (0.00872)(84.16 0.734 Benzene (0.05085)(78.11) 3.972 10.285 Actual grams hydrocarbon out Grams of hydrogen in hydrocarbon gas out: (gram moles) x Grams of Component (grams of Ife per gram mole) Ha out Cracked gas (0.00101)(12.10) 0.0122 Cyclohexane (0.06542)(12.10) 0.7916 Methylcyclopentane (0.00872)(12.10) 0.1055 Benzene (0.05085)(6.06) 0.3076 1.2169 Actual grams Hg out Material balance = [(gm hydrocarbons out + gm Hg as gas out)/ (gm cyclohexane in + gm as gas in)] x 100 - | [10.285 + (2.804 - 0.126)(2.016)]/ [10.59 + (2.534)(2.016)] J x 100 = 99.91% Hydrogen balance = [(gm Hg in hydrocarbon out + gm 1^ as gas out)/ (gm Hg in hydrocarbon in + gm Hg as gas in)] x 100 « |[l.2169 + (2.804 - 0.126)(2.016)]/ [1.522 + (2.534)(2.016)] | x 100 = 99.78% Product yield on a hydrogen-free basis: Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 288 Component (grams/total grams) x 100 Wt. % Cracked gas (0.073/10.285) x 100 0.71 Cyclohexane (5.506/10.285) x 100 53.53 Methylcyclopentane (0.734/10.285) x 100 7.14 Benzene (3.972/10.285) x 100 38.62 Z » 100.00 Mole fractions of benzene and methylcyclopentane on a hydrogen and cracked gas-free basis: yB' - (0.05085) gm moles/(0.06542 + 0.00872 + 0.05085) gm moles = 0.4068 yH' = (0.00872) gm moles/(0.06542 + 0.00872 + 0.05085) gm moles = 0.0698 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX D ANALYTICAL SYSTEM Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX D ANALYTICAL SYSTEM A. Introduction The product analyses in this investigation were made on a F & M Model 810R dual-column gas chromatograph. This gas chromatograph employed thermal conductivity detection and was equipped with tempera ture-programming for optimum elution time and peak sharpness. The column used was 107» silicone rubber (SE-30) and 90% white chromosorb (80-100 mesh) and was ten feet long. Peripheral equipment used for peak area integration included a ball and disk mechanical integrator and an Infotronics Model CRS-110 digital Integrator. The following sections describe the operation of the gas chromatograph, calculation of component concentrations and the calibration factors used. B. Operation of Gas Chromatograph The first step in a typical product analysis is the sample injection via a hypodermic syringe into the helium carrier gas stream. The helium carrier gas, containing the hydrocarbon sample then passes through the silicone-chromosorb column where the individual hydro carbons are selectively adsorbed. After leaving the column, the carrier gas and any hydrocarbons present pass through the thermal conductivity detector cell. Since each hydrocarbon has a different column retention time due to varying adsorptivity, the gas passing through the thermal conductivity cell normally consists of helium plus a single hydrocarbon component. 290 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 291 The thermal conductivity cell is used to detect the difference in thermal conductivity between the pure helium carrier gas and other gases present in the mixture. This difference in thermal conductivity is proportioned to the instantaneous concentration of the non-helium components present and is recorded on a strip-chart as function of time. To obtain the total concentration of any component it is neces sary to integrate the detector output with respect to time. The primary integrator used was the Infotronics Model CRS-110 integrator which uses the detector output directly. This integrator prints out peak areas and retention times on a Victor totalizing printer. The Infotronics integrator senses changes between peaks by a change in the detector output slope sign from negative to positive. Retention times are given at the peak maxima which are recognized by a change in detector output slope sign from positive to negative. The secondary or back-up integration system is a ball and disk mechanical integrator which operates directly off of the slide wire for the strip-chart pen. Temperature programming was used to provide optimum elution time and peak sharpness. All product analyses from the cyclohexane studies used the same temperature programming schedule. The initial tempera ture of the oven which held the silicone rubber-chromosorb column was set at 4(PC. At the instant of sample injection the temperature program was started. This program consisted of an increase in tempera ture at the rate of 30PC/minute to a final temperature of lOOPc. The final portion of the program consisted of holding the column isother mal ly at lOQPC for seven minutes at which time the analysis was complete. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 292 C. Calculation of Component Concentrations from the Dectector Output The response from the thermal conductivity detector is a linear function of the instantaneous hydrocarbon concentration in the helium carrier gas stream. The instantaneous concentration of an arbitrary component j is yj = c /d j where yj e instantaneous mole fraction of component j, Cj *» a constant, characteristic of component j, D, = detector output for component j . Associated with each component is an area which is the integrated detector output with respect to time for that component. This area is proportional to the total concentration of that component in the carrier gas stream and is related to the hydrogen-free mole fraction in the sample by y o - -C^ J ____ n k=l where Y ** hydrogen-free mole fraction, C «* experimentally determined calibration constant, A = peak area, n ° total number of components in the hydrogen-free sample. The gas chromatograph has an electronic attenuator so that the detector output may [be scaled down by selected factors. The final equation relating pelak areas and concentration is Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 293 ^ 'j k=l where F is the attenuator factor. D. Calibration Factors The calibration factors used in this study are those used daily in the Petroleum Processing Laboratory at Louisiana State University and were initially determined by Dr. P. A. Bryant. During the cali bration program, a precise volume of the component in question was injected into the chromatograph and the corresponding peak area noted. The integrated response (including the attenuation factor) is a cali bration factor since it represents the area/cnt3 of the sample. A more convenient form of this number, is the reciprocal, which corresponds to the gram-moles of the given component per unit integrator reading. The calibration factors listed in Table D-l were determined as discussed above and are defined as r - 1000 ‘ ' V i The factor os 1000 was used for convenience and does not affect final results since it cancels out in the calculation of the hydrogen-free concentration. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 294 Table D-l. Calibration Factors for the Gas Chromatograph. C, Component gram-moles per unit area x 10? Methane 3.765 Ethane '2.496 Propane 2.006 i-Butane 1.707 n-Butane 1.685 i-Pentane 1.580 n-Pentane 1.495 2 ,2 -Dime thylbu tane 1.352 2 ,3-Dime thylbu tane 1.352 2-Methylpentane 1.308 3-Methylpentane 1.318 n-Hexane 1.278 Methylcyclopentane 1.411. 1-Methylcyclopentene 1.436 Cyclohexane 1.4714. Cyclohexene 1.497* Benzene 1.582 i-Heptanes 1.147 n-Heptanes 1.147 C0-Aromatics 1.000 Unidentified Cg 1.000 i •fa Determined in the present investigation. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. APPENDIX E COMPUTER PROGRAM LISTING Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced COMPUTER PROGRAM LISTING n i - Oo ou o o uO O o X X X x o — or U. 03 0t-— X — - t 00 % © < - _J u _J - < 4-4< o © r o m m — Z X to 0 0 X X X DC X © w H o e o to X to m m JO U - l O Z < CO© < O < CLI UICK — © «. E Ul*v % to X < \ mo < o jm _ O D m o u \ x o < m > % o c \ u < ~ i _ "DO C3 • H r* X • — cu Kl < x 2 > to © »■» u < m < Q I— L l a ~ * % •* l o ~ u . a O o o zz z z m © ««*» >0 M Z>00 X < m m ^ m m o U w u w * - I O — O o w O m ^ CL o x ru < x 13 J >- 0J O o o to < © © «*CD 1 o x o ? r - t u a — u 4 * •4 * * (3 © © tvj U- o CL- X i— o m m X i X Ui a o X © © m m o CL X X —1 X X * 4-4 a ■» x n < in L X 0J zz z z L CD 2 .-« U — CU CU X L W 3 — nin o u o r ~ " CO "3 O u © u © © 4-4 x o o o •» © CD X L -1 © X X X UJ — >- >- UI «* o _ o X X > _ j to j _ X X o a: o H X c X l l •> O' <* * %H- l L l s * * ** 2 j •* X % < c o X X r o l * •» "4 I X 1 U UJ cc X CD DC I— < X c QC u c © DC r. o to X EC X - h to X X c o X or DC ' O vO u \ ru 4-4 cu 4-1 0 \ H 4 ^ uS cu O 4- 4-4 \ 2 \ 4-4 <0 cu \ 4 0 0 CU \ \ © 4—4 v \ ov —4 \ X 2 X X X 2 2 . r X X 2 X —4 © • • • • • cu CV> n cu XX X CU «-4 m r ^ in \ -m 4- 4 4—4 4 4—. 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X • - © >- • > *4* • % ■4 % fv 4-1 • ^ V - u32XS X 2 3 ru — w - CU 2 >- V V c m in m cu - • « >- ■4- — - 0 CU 0 © 0 >- >- 4 4—4 0 3 \Q 4 % - - - r cu ru v >- tu - > 4-4 nin ^ n > 2 U ( 0 v "4 tv 0 • 40 v u• - 4-4 w -V • cu rv v *4 rv 40 40 — CU— 0 4- — — - ' 2 V x IV 0 c c *4 m cu cu x X T *4 ■T rv rv cu X - 2 — X X 4-4 X X U C X 4 ■4 O • X • X X • — * ■4CU ^ • • «v © r — ru \ V w X 4-4 «H 4-4 4-4 s 0 0 m — © 0 © u t x 0 2 2 h 4 \ O - 4— 0 X 40 — «4 >- >- >- 4-4 O 4-4 44 4-4 4-4 V. 4-4 - s 4-4 n x i © in x in 0 0 O CU O - 2 4- — — 0 >- 40 0 > i X in x >- \ — O » 4» »-• • v» 0 * c < -* \ X • V 2 X — X — V ~ 2 >- « m \ \ — \ 2 x H « r x © x © H •* -—■ • *— • » «» O n h s h in n w CU — © « IV • © © 4-4 V 0 2 0 0 0 2 < 0 •« 4 n r ru tn 4-4 40 0 V X 40 0 x 40 -1 .- DC v ,4 vO ,-4 tv 4-4 4-4 OC v ru v — x m X O X • — n — in nin DC OC \\ \ H • X >4 4-4© >4 • X cu \ "V t^ — \ \ I V X V 4-4 V — C m \ X v or v X or or -4 O 440 «4 V o x o V V X O 0 oXX X ro x V V V X tv X © © v VV V v V X • • • • • X • •4 n x in % — N fv • V X \ ^ © |V c o c o '-- X © 4-1 ru 4 0 0 0 0 • - 4 IV rv if < © h © DC *— c o c o 40 « cu c o — 0 0 X X 0 X 0 0 X X X • • » • % » •4 4» * rv H © © H 0 ucu cu © in +*+ ■4- V -— c o ru tv or -—' c o X © V m © 40 X < * V X 40 0 \ 0 0 1— c o 0 X \ V © X \ X • » 4-4 40 4-4 4-4 © 40 © © © c o m c o 4-4 V in ^4 — 0 a rv or V V 0 V 40 0 0 V 0 0 X X V 0 V X I V X TABLE E X 4- cn — v rv CU vrv m oc «-< cn «-< cn O 0% VC 00 o o s or — 1 V v r cu —o v 0 x n cucn 4- CU00 CUN X 0 00 CU N % cu cnoc i — ~ o \ X 4- \ ~ “ V U>X OC 1 V x \ V V 00 X O V \ X X cu v • X o X V o x V CVJ V x oo x *• • X • cn • v in v * ■* V V o o — »» 00 oc oc 00 s m m » in \ o «-•o o Ll Llv ~ — m ^ v ^ L vo vo — — — O cn cn l r \0 L • so o in o N4- v L l l l l l l ■sf' L L •» cu L Ll - * on N cn cn cn * w-i w-i m cu cu w-i l l l l N • N cn— cn o V V — cn L — on L on v m • v ^ H ~ N cuv • V L ON— L — Ll (l— • V V « cnv CU o o Ll V ~ % H v. V cu o cu o cn-*• \0 rv 00 H ^ H rv IL — — V cu o o •* Ll O lL V — V • V Ll ~ \ cu o tn — tn cnu. rtV Ll h V — V cu o cn v Ll v tn v v cn v l cn • • -a- cu • * cn * o • v cn v • »-« l v cnv — «- — in CU 00 l i CU v CU L V Ll O Ll o O l l l i V ~ — cn V I cnv v t V — — ^ — 00 ■* OC — o L © 0N\«- vO • vO I CU I O U L CU n «-* in U I I CU V ~ — u ^t- • cu L cn v — cn v on — 00 V L CU V — v — in V L •-< O — 00 V L V 00 — in CU L n c o H L O O cn o o o o cn o o — O V U v CU V ON L O — cnv V L L L L oo * h- ' — O'. V l Ll — • l l l N < ^ l L ^ • ON V v L • ON V v I — • l V O v l l u. oo u. 3 O -3- • V in • • < • V . m U. cn • N v i U V — v cn 00— ON V «-• • o V L 00 h cn cn o cn O K I I L v 50 v l v r • l l l l m CU OC fv O 00 L 00 00 00 O l l l l l l v l v o ON o H ^ o v r © 4- o © cu w oocn V V U. II in CN I u cn oo cn V II 00 V 30 v L in V l • v % l x oc HI I—I •—IO M HI _J L4HIHI I—I © o - x o o o x x x o o x x r o o L O O O C 0 3 X O U X 3 X O 2 M llllH l r cu H | U C ( 2 >- cnx 2 x H I U O O O o H o o m o i h II I M H • • v X ^-J ^ J - ^ v X X X v • • • s 2 2 0 0 - 1 = • n rv in .=*• 3 •—o I3 IhD» D I « I h I 3 H i h HI I H M M 2 0 0 - 1 h --- 2 "3 3 " 2 . un O O cu n o i h « h — «-• * — o O h 2 2 l • ) C 2 O U w-i I—IH o a o 00 >-© n n h 297 • o o _J i h X M 298 h e p t a n e TABLE E n o r m a l COMPUTER PROGRAM L IS T IN G o » o d)*0.0 XDATA(I)*0*0 D02I=1/21 Z P M T)*0.0 d ZPMG dZPMHM )*0»0 DO DO 6 J=l/2 DO 6 1=1/5 0.0F E X d /= J ) AGCC(I)*0.0 A G C A>=0.0 d ZPML(I)* B G C C)*0.0 d B G C A)«0.0 d FMOLXd)«0.0 XMPL(I> *0»0 XMPL(I> X M P G)«0.0 d AUT(I)*0.0 B U T d )=0*0D U T)*0.0 d READC5/3000) KDEA/KPT DO 998 KJRH=1/KDEA D01I*1/30 CONTINUE 8 6 6 FDX(I/J)=0.0 1 1 CONTINUE C C KPT-5/DEHYDR0CYCLIZATI0N OF C C C C KPT*2,LEAST SQUARES KPT»3,GENERATION PATTERN /KDEA OFPTS KPT«4,IS0M-DEHYDR0GENATION OBJECTIVE FUNCTION CONTOURS OF METHYLCYCLOPENTANE C C KPT-1/N0RMAL PATTERN SEARCH SINGLE PT. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E CU u u o u n < Z ~» ^ in i u >-« « > U O D O c D < ( m I—z I—I— o o ------o o M n • • to c o j c •—I j u 1-0 in in in z < << < UI UJ 0 o 0 o o: o (D UJ C r-i o o 1-4 -—' S H O O C .o o o u. ~ < Li. U UI cn uu. u — I— Li- H m o CD < 0> O < < < — > U O w w 3 OJ Cn !-•Z — d c »II ll 3 3 • K Q U in s i u —OO O l— z (D CD Ui <■ m z »-i s 3 c o CO Z m in o c o o o r 3 o 3 O z o ui o ui u cn cn tn I- (D »-4 13 U < U CD ~ O -• 3 n U a 3 a (D cn CD J*- ~ z • (3 • r U Z< Z H D D U CO -4-CO o o sO O cn CO ID CD ui »- a OX O O 4-1s Z in < «- < in C O o CD u CD ui C • CO Z m sin u in 3 in OUI O *4 Q cn cj I- Z (D < ~ 3 z z . — CD CD CJ CJ *-> CD CD O O ■>■' ID CD < U w CD UJ UI U CD CD v w 3 3 3 X X X < r ao r- a x < u Z H-W - H Z Z u u u u ' 3 s s X 3 ■'» m in o uj z h«h h«h m o O u n vO sO H CD CD CD H D '' CD CO O t I U CO CD c o •in in < «- < •—> 00 CJ o CJ ■* -=t■* tn in C O C O s •»s 299 sO Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E n n o o in in (VI # r n n o o in in o o «- - cvj . - i u u u . a x u K t t in v r M M D CDCD u u M W J *»-XlC DU< < D I Z < D l < Z U.<* C tD J*-»»-«X +m0 2 < \ J H \ 1 < CVJ a cn x (TV O + cn 00 o o vO cu o » 0\ a IO x ■a- UJ 00 + + o oo < rv O r v 00 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 302 TABLE E COMPUTERPROGRAM LISTING XIS0M*(ZPMT(11)/FMBLS)*100.0 IC4PC4» ( ZPMT( 3)/( ZPMT(3) +ZPMT(4)))*100*0ZPMT(3) 3)/( ZPMT( IC4PC4» ( C0NVs(1*0-(ZPMT(13)/FM8LS))*100»0 G8TB160 DEC8NV=(1.0»(ZPMT(26)/FMBLX(26)))*100.0XIS0Ma((ZPMT(24)+ZPMT(25))/FM8LX(26))*100.0DAC0NV=(l.O-((ZPMT(22)+ZPMT(23))/FMBLX(27)))*100.0 CDEFAX=AL0G1O(1.O/(1.O-(DECBNV/1OO.O)))CDAFAXaAL8GlO(1.0/(1.0-(DACBNV/100*0))) XI SBti* (ZPMT ( 3) /FM8LS) *100.0/FM8LS) 3) ( (ZPMT SBti* XI XIP=(ZPMT(3)/(ZPMT(3)+ZPMT(4)))*100,0 XEIP6=XHEXE*100.0 RATEHKa((1•O+RM0LS>/WMHRH0)*XHEXE*(WHRW/3600.0)*AL0G(CNHVF) GBT016O C8NV=(1»O-(ZPMT(4)/FM0LS))*100.0 ' CRK=CBNV-XIS8M SELEsZPMT(3)/C9NV GBTB150 G0T016O CNPVF»l*0/<1.0- Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 303 (.8) TABLE E COMPUTER PROGRAM L IS T IN G IF(XDATA(8)*GT*899*6)G8T01O1 IF(XDATA(20)*NE*2*O)G0T811O IF(XDATA(20)*NE*3*O)30T81OO IF(XDATA(20)*NE*4*O)30T09O XE»EXP(1986*4/((XDATA(8)+459*6)-*4271))/(I*0+EXp(1986*4/((XDATA(8) XE = EXP(2483*6/(8)+459*6)-*9358)(XDATA( )/(l*0+EXP(2483*6/(= XE (XDATA G0T01O2 XIS0MM(ZPMT(7)+ZPMT(8)+ZPMT(9)+ZPMT(10))/FMGLS)*100*0 CRK=C0NV-XIS0M C0NV3 (1*0*((ZPMT(22)+ZPMT(23))/FM0LS))*100*0CFAX=AL031O(1.0/(1.0-(C8NV/100-0))> XIS0M=((ZPMT(24)+ZPMT(25)J/FM0LS)*100*0 G8 G8 T0 160 C0NV3 (1*0-(ZPMT(14)/FM0LS))*100*0 C0NV3 (1*0-(ZPMT(26)/FM0LS))*100*0 CFAX=AL0G1O(1.0/(1*0-(CRK/100*0))) G0 T0 160 XCYHEX»ZPMT(11)/(ZPMT(11)+ZPMT(13)> CRK-C0NV-XIS0M WMRH8»(1•2575E-1)*((XDATA(9)>/(XDATA{8)+459•69))14•69 + CARK»-AL8G(1 * 0-(XCYHEX/XE))CARK»-AL8G(1 * CNVF=1*0/(1.0-(XCYHEX/XE))RATEK*((1*O+RM0LS)/WMRH0)*XE*(WHRW/3600.0)*AL0G(CNVF)G0T016O XE=EXP(-48lO*/(XDATA(8)+459*6)+6*114)/(1*0+EXP(-4810*/(XDATA(8)+45 DUAL=1.0/SQRT(RATEK) CRK*C0NV»XIS0M 1+459*6)-*4271))) 1+459*6)-*9358))) 19*6)+6*114)) 101 100 90 82 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 304 TABLE E. )) *100*0 )) COMPUTER PROGRAM L IS T IN G /F.M0LS AUT(I)=ZPMT(I)*WMT(I)REFSM»REFSM+AUT(I) 002101=1/30 AUT(I )*0.0 B U T (I )=0.0 REFSM=0.0 002001=1/30 ZPMHM(I)=ZPMT(I>* Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 305 TABLE E 6,570) COMPUTER PROGRAM L IS T IN G WRITE( ,EG).3.0) IF(XDATA(20).EQ.8.0)WRITE(6/593)IF(XDATA(20).E3«9.0)WRITE(6/594)IF(XDATA(20).E3*10.0)WRITE(6/595) IF(XDATA(20).E3.6.0)WRITE(6/591)IF(XDATA(20).EQ»7.0)WRITE(6/592) IF(XDATA(20)*EQ»5»0)WRITE(6/590)(FDX(I/l)/I*l/5) IF(XDATA(20).EQ.8.0)G8T876 IF(XDATA(20).E3»1.0)WRITE(6/550)IF(XDATA(20),EQ.2*0)WRITE(6/560)(XDATA(20) IF IF(XDATA(20).E D •4.0)WRITE(6/580) WRITE(6/640) WRITE(6/620)XDATA(7) WRITE(6/630) IF(FDX(I/1)»E0*0»0> GO TO 211 WRITE(6/600)XDATA(1) WRITE(6/610)XDATA(2) IF(KNDX*NE«18) GO TO 212 WRITE(6/549) GO GO TO 211 FDX{I/2)»((FDX(I/2}-3UT(15>-BUT(18))/FDX(1/2)>*100*0 KNDX=FDX(1/1)+0.1 F E X (I/1)-FDX(I/1) BUT(I}*100«0*(AUT(IJ/REFSM> FEX(I/2)-FDX(1/2) DO 211 1-1/5 180 HPR8D-(H0UTG/2.016)*(100•O/FM0LS) 211 CONTINUE 212 FDX(I/2)=((FDX)/FDX(1/2)>*100.0 210 CONTINUE Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced COMPUTER PROGRAM LISTING X - h - l h - l - t h - | ^ - l w - ( w - w ( w h - w » - ^ t w - ( w - | w - I w W X - ^ l W - W l - V ( W - t h h - l V - w l W - l W W h h ^ w H V W W W w a 0 0 ' n i o - 3 - o r i a * - « o o o o o o o o o o o o o o o o o o o o o o —« —« —« ^ M M H » 4 H H > 4 H M M M M < H M H » M H » « •— * W M M M t H 4 H « •— < 4 H I H M « •— M UIUIUIUJUJ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced COMPUTER PROGRAM LISTING ^ w ^ - o o > o > 0£ 0£ l l— X UJ UJ UJ O H o rH fO H l N l N O I I I - cj n cvj in cvj»-* O O O < vO vOvO — M »—« M < CO «-* 00 ^ H H L C N • N CL (L O O — ^ 3 3 • x x x L UJ CL X X XX. XX. ------— C. 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(L Z UJ CD vO <. ft.X (D CD O —1- t U \ U -CL CU H- \D ftO U) - 1 1— J— _ • • • • • CU CU cu O O O O U. < < w* ___ 3 1 — 3 a—• a 3- w 1 — ftfl < id id 1 x — UX CU O OJ H CVI cvj . u CD TABLE E in in m Ld LU UJ Id CO LlI CO Id UJ LU Ld CD CO I CO H-i M HI H-i HI xO HI H-iM f— I— fr— «oI— II D U 3 CD 3 “ 3 ~ cn in r>-~ in >o cn + in O v - l O v£>3 I :> CD 1- —< ^ n r cn 3 00 3 CO •f q h ; in m rv O O CO CO ^ W W W W w w w w w w w ^ w ^ w ^ w w w w ii w L J U Q w J U U L w iJ L lU W J U iJ L W iJ L iJ L W liJ J U W iJ L I— t— l— I— I— I I— IjJ I— I—I— I— X I— I— H J l— ^ U J U W V cn cn 3 3 H H * 4 oc a: oc vO vO 3 3 3 ^ % ^ cn ^ vOvO'O'OvO'O'OsOvOvO'O'OI— a: or or or a: I i - H I— 3 H o in o oo vO VO cn o cn ■— X — 4 \ \0 -4 ■4- o 3 3 d * * * : o dc < h Q • • Q Q i-»— < * < < [ID.Q.ZD - HiH -■ < -—■ H-i H H-i CL Q_ — • • O O 4 4 « ^ ■% > y y y n u c 3 3 3 - l - I O O v k X X W JC ZC W W V W C O d Id Id vOvC <. Hi H-i i - H i - H i H 3 3 - i ___ cn a 00 *»-» — •*l— 3 r ^ or o ^II ^ 4 CO ^ V a. in in 3 CD V • ID V or• < 0 • 4 • • CQ li) • O • •-* h C 0 CO y y < 308 3 CO o: V a (D 3 21 CO CD Q HH u 309 ro co Z3 o ro to co * * cu ru CD >- ON * kfi X X X 3 < X X ~ \ o «-* cu cu • cn ^ >o X + • < cn •* D 3 — I «H CD CD (D + r Z « o cr cn \ < w X < D CO Q X X s X x X cn 3 3 S3 UJ > X XX 13 cn 5T • CD in 3 ♦ H H _J < ♦ H H < M rvl M Ql O k> w * CD CD CD O (Ti H X X X M M M in u. • NO CO z> 3 o ; c r c r cd cd cc Ut CD O • * CD CD * * * X X X CO cr» no •*• * X o ro o cr cr cr (0 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E z o CL CL UJ J- I H — u UJ UJ OC H Z cu CL rC o CD cn < u < o. cn n I- CL < • • < CD Ul or «.or •*M * * • o c o cp OJ U! *»UJ CL US U — U o CL c o rz— z cr Z a l cn O O O CD CL H-I III H-I 2 H4 >0 o o O Nl CD ' O o o o o o o m w h o o ro c cr cl oror UJUl UJ UJ v O v O v O v O 3 3 3 3 3 vO VO vO vO ui a. ; u a x r r - >- > »- cr * ^ o * y y c s y * >o y n i CD U U. U U U U >- - U > U. - CD > U - > - CD > — D D CD (DI— CD (D CD (D CU *-■ CU CO -4- If) CU %0 “>~5 ^ ^ CD ^ ^ w w w w w ^ ^ c v c o c o c o r c I I — l I_ J _ X X X X X >->-»-<< >->-»-<< X X X X X M M u M N M a X X X X Ul Ul OC u u u x x X v >• cr crcr cr CD CD vO N X X CP < X X n n *•» > c o cr n L V X 3 “ “3 - >- >- X X r cr cr c o X X cr m cr X X CD CD 00 II D * ^ l . u. CD cn m u u u O .-I O x > - x i ~ c o >- X >- _i \ cd - >- >- crcr CD 00 >- — >- CD CD CD CD _J_J • x l * Kl X X X X CD X u * N n % % o cn > - cr X x hh cn h cu— CUH- < — • Ul • — cn • — < V J- “3 — X - < I- I < Q — < H-I “3cu o l — I H ll H X O < cr x —cu x a • a o ^ u_o •CD X cr _i >- u u u >- JXQ _J X ~ o cr CD *- X • -> X 00 • ID X CD CD »- * * o UJ H C , w < «, 1 • cn • • o m «o i— cn CU o CD c\ ID o 111 CD --- C9 cd cu o I- X I- «C w o o — 3 CU w — o Ulo cr u. u. cr • z Ul • U X UJ x U cn • z CO CD> H-I vO H D C — ' Ul O CD O' CD — n < cn CD CD cn cn O CD 1 — • X • cu cu o o •HCU cr cr u u u crcr til UJtil w w o o o 3 — — 3 S >0 ^ * vO »-» (0 u cu cu H-| 00 0 O 0 »- CD .*•cn < < < < o o CD cncu CD 03 X X O Q I- »- CD H- • 310 • — CD 0 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E o o o o o " 4" 4 4" Ui Ui Ul oo o n-o cno 0 0 2 2 3 « O J 3 3 « 3 3 I 3 2 x co x u — — %♦W *—• V-«— M • .—. *—* ^ W w W M W h %—♦ M _ •—* *—* M H 07Q7Q7Q7U.Q7Q7Q7CDU.Q7Q7Q7CDU.Q7Q7Q7Q707U.U.U.Q7Q7Q7Q7Q707ID *-4 W „ H >o«oo «N ^ ^ ui ui ui ro ui 12 - y I— X l Q Ul 4" cu o «-•o vO H- o • tc cu V orz t- ■N cucu o o ro f~.< Ui Ui o o _! Ui O NO NO or V < «N % o 4 z> - cu o o o o I— IDlucnouujuicnoujujujujujxooujuiujuiuiujcn h h X I— (D h I—X I— H-I— I—I— '-'XXI— H-*— H- CD «X) o 07 4 - w w c v i4 - C V J 4 - Q7 •- V < N N N N < % o OH- roo - h CD 0 0 0 ^ ov O (D t- cn cn ID NO z or K Q z 70ui < I- i < i- • • V ui y j n O n 4 O - «-• n or OOOI— o o o o o o o o o ~ Oov NO O O O O O IO V C U -'C O O O O O U C ov ov r4iNr(Jou in>o^ + oro4-inNOrt(\Jooium cn < N N N N N H < < N N N N N N - 4 - 4 4 - 4 - 4 - 4 ~ - ~ < - 4 j \ c j n u r j v r ~ ov ov h d l O 13 CD I— LU 312 in ui H • z Ul • 0 < z >0 «-t 1— Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 313 5Xj 16HMBLSWE 5Xj 5X, HYDR0CARB8N, E/, D TABLE E ,/, 3H15») COMPUTER PROGRAM L IS T IN G 16X>4H0#00) 16X* 14X#F6«2) j j j 19X/F8»0) j 9X*27HHYDR8ISBMERIZATIBN BF C5/C6) 5X/10HRESEARCHER/15X/A4) 9X# 33HHYDR8IS8MERIZAT10N 9X# 0F CYCL8HEXANE) 7HVBLCC 4HDATE j H) 6 // / > ///» (///* 1 (8X/8HN-BUTANJE/ 12X#F7.2)(8X/8HN-BUTANJE/ t 5X /// FBRMAT 1 820 830 F8RMAT(8X*9HI-PENTANE*11X#F7»2) 750 FBRMAT(5X/16HM0LS760 16HPR8DUCT*M0LS/1OO (5X, FBRMATH2/M0L FEED>7X*F6.2///)770 FBRMAT(8X,8HHYQR0GEN,12X,F7.2)780 F0RMAT(8X/7HMETHANE 800 FBRMAT(8X/7HPR0PAME/13X/F7.2)810 FBRMAT(8X#8HI-BUTANE*12X/F7«H) 790 FBRMAT(8X/6HETHANE#14X#2) F7» 59^ FBRMAT 600 F0RMAT( 650 3A4) FBRFAT(8X/ 66014X> 4HCBDE* FBRMAT(8X/7HSIZE/MM)670 FBRMAT(8X# 680 FBRMAT(8X>6HWT.,GM#14X,F7.4)690 FBRMAT(5X^17HTEMPERATURE/DEG*F/6X#F6*0)700 FBRMAT(5X/12HFEED FBRMAT(5X/13HPRESSURE/PS710 • A#10X/F8*2) I PP/PSIA*11X,F8*2>720 F0RMAT(8X/6HV/HR/V#14XiF6.2)730 F0RMAT(8X#6HW/HR/W 740 F8RMAT(5X/16HHYDR6GEN PP,PSIA,7X>F8t2) 592 FORMAT{////9X*593 31HHYDRBCRACKING F8RMAT(////9X/30HHYDRBIS8MERIZATI 8F DECANE-DECALIN) BN 0F N-BUTANE) 595 31HHYDR8IS8MERIZATI0N FBRMAT(////9X.» 0F N-HEPTANE) 610 FBRMAT(5X*6203HRUN/22X/A4) FBRMAT(5X630 F8RMAT(5X/8HN6TEB88K)640 FBRMAT(5X*13HCATALYST TYPE) 591 FORMATC Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E ^"X 1- ooooooooooooovvvvv v ' ov cooocoooooooooooooooooooooovavovovov .c-inininininin' L X lH■rt Ul H o o o o o o u i H o o - n i ^ n w H O cu crv rx 000 00 0 0 X X L CD o«HCuro4-tn'Oix ______L L l l 00 n u cn l L IX cu * cu CVJ ^ H ^ H L X X X 0 0 H 0 0 u x U_ lx X x x • N- X X l % % X % 00 ro L < l CU (U (U cu cu cu cu (U (U CU OO OO o c r n cn on ro cn ro U. Ll U. Ll LlLl Ll U. U. X X X X X X X X XX X X X X N N N N N N N L u u u u u --Z X X X X X X X X X X X X X X ^ ^ ^ ^ ^ ^ ^ ^ % % ^ ^ » • • • • • • •» l ( in H in vo \o H H I n l . L 00 2 l oo oo — — L l n L 2 l - L • IX CU CVJ — CU OHCU C H O O L «-* 00 cu ro x u X |x a . . a x x o x X X X % X l * X l X L X cu • IX 00 L 00 o o o o o l l x 00 Ll Ll jx rx ro ro L X X X z — U U IX |x X X X IX IX X X X X X x X l x x 314 00 L l 315 TABLE E COMPUTER PROGRAM L IS T IN G 4102 FORMAT(5X/15HIC5/PC5/PCT/EQ*/8X/F7*2) 4101 FORMAT(5X/15HIC5/PC5/PCT/ACT/8X/F7»2) 1080 /5X/20HMATERIAL FORMAT(/ BALANCE/PCT,3X/F7*2) > 5 F9 • 9X/ / ) -X ) (1 (1/ 12HL0G 5X/ 4000 (./// FORMAT 4010 FORMAT(5X/11H1000/T(ABS)/12X/F7*3) 4040 FBRMAT(5X/19HL0G(1/(1-X))/DECANE/4X,F7.2)4060 FORMAT(5X/20HL0G(1/(1-X))/DECALIN/3X/F7*2> 1060 FORMAT(8X/7HT0LUENE/13X/F7*2)1070 FORMAT(8X/12HC8 AROMATICS/8X/F7*2) 2060 FORMAT(5X/13Hl/(W/HR-W)/HR/10X/F7.3)3000 FORMAT(13/II) 4020 FORMAT(//5X/16HDECANE4030 F0RMAT(5X/17HDECANE CONV./PCT/7X/F7.2) CRACK*/PCT/6X/F7«2)4050 FORMAT(//5X/17HDECALIN C0NV./PCT/6X,F7.2) 1030 FORMAT(8X/3HMCH/17X/F7*2)1050 FORMAT{8X/7HBENZENE/13X/F7.2> 1090 FORMAT(5X/20HHYDRBGEN BALANCE/PCT/3X/F7*2) 2040 FORMAT(5X/9H1/SQ»RT. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E n in in X X L tvrv L - Q CL X X X % H H in in cn *—• w vO vO i— i— a o 00 I i noooooooo o o o o o o o in 4-^-4-4-4-\0%0\0N0v0ininin -in 4 n c n c < < d x c d < c x d c < x d c d x c < d c x d < c d x c d < x c d c x < d i d x o < d c x < x < x x < < ov oh uco hc ho vo oo o •-ICUOVOOOOOOOOOO CVJ (VI a c l l c a o o u o LJ < 1 X X X LJ U u u ororororororororororororor ^ \ \ ^ * • • l •» *•». l VV H % V -• L 0 0 L l l I l in n in — s—I tv n cu in - o o «-• cvj 111 Q. t— cn c n in x —• > CL «H «H CL z u X oo * or — U. L lL X «. 2 V X CD X J OV CJ U — «* «-• v l H UL v " - 4 OJ Ll Ll ■» i n »-•inin - X »-t vO DC ori- 2 U cd CL CD v Z 0 v 00 < u i i u < - » % cn MUJ 00 X «-• x x < x CJ UJ h Ll X I— z ii. » • » I I CVJ II X II •» v ^ X 4 4-O v * U ** X v «. in l cn • cn L CD l H H I-• CO U ll Z 00 00 X X h- •* X •-< Nl L X O l _ Z < Ll z X D CD CD u X X V V •» u l < n 00 u 4 I \0 or. l - tv — n z cn — •UJ X L Hrl OV H H UJ v OVO Ll X CL Z tv X 0 0 V U 0V>- X U O - l . U - 4 L O i I h oo I in I Q U h J x v a. x ^ U. U >- J (D 7. i t U C z u X X CD UJ >- •-• X X X X X X X or. » CVJ * •» ItI— v • l v v UJ • Ll V V^ V CDv UJ «-* l Ul l _ X • n Z • J — t O _j x _j (VI ohcu L 00 l fv cvj 00 L 1 l tv oo I l U J C U J C U U J X / C U OCDXXXXXXX ZtUCDCDCDCDCDCDCD D CD o Z Z Z Z Z Z Z D Z x x x x x x x r o OCDCDCDCDCDCDCD X Z - i UJ cn u x cn H > in - i Q < - i u in CD OJ L < L - I < X o < u 3 cn O oc X CD cn o cn o o L CJ % l V v v l l — — cn cn — > 33 Z> cn o n cn cn u ~ - * cn cn o o ^ < cn — o o zd «c X u I— u x in cn o o < X O O CD < CDZD D v CD CD - I CD x _i u CD X U CL CD < v v — ^ O v O o o L l OJ Nl o X N! lL CD O _J — —_J CVJ — D * CD U l N INI II in ~ o cu o (D I— X v X n - * cn o X cn CU O CD >- a X X cn ^ l _ L i C CL x x — _J —in U CL cn v L CL O CD X n v cn X X l % v v V * w h *-> >- >- x L v CL CDUJ x a CD 3 “ cn x X X v x cn CD X or v a _i ■* x t- < j u N C or o >■ or - t «> < CD 3 X X X X < % X u LJ X >- nr x >~ r o ori- I—CL < V X O >-x 3 orv l U ■. ■» cn v % V CD v %< ■s X X v «s v x «. uj or or or or or ' tv cn ft—i Ul z UJ X z cn cn x CD CD ZD cd Z z •—• OJ X X _ * o OJ cn cl w 1- UJ CL r—« X % OJ o o in »- CD lL UJ •-I <3 X CD CD • • • z X CL t- 4 LCL CL L— UJ U CL J_l _J u u u as U. X X < CD • - 1— in •— L— X CL o <3 L -— _J < CD l • • « nr o or Ul CD i- z ZD«-l tv »H in o o cd u M • 316 cn O o ZD X e Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E O O t'4© h UJ Ul > z »-§ y z n r> o - cn c CU CVJ I- =3 — - • * % »-<•=*-n D DD O It cno o O < 5Tu D ID ID O O «- d *-• id cu o > cn Z » HI % % ■% x I- H »• Z Z '-'3cncn»HCucL'->“ '-'3cncn»HCucL'->“ — H t r H i i i w n i o H(VJ c O x K 3 D Q''4-in D D Z W U C N 'O Q Q w n ( 3 2 3 U ) W n ( a . Q < I / C H V U J J “ ►-* ►“ CVJ w _J H UJ U! C/) C3 n t » u u CL Q i» it II ID cn z U — I— cr CL --- \ x a \ \ D O cn •-* »-• > n cncn »- > ___ xO cu u ID uj CL cn * % CL x I—I I— I— cu uj a. ■» lj cn V *—i u z u ►—* z — z ii y y o o UJ i u UJ i u Ifi a in 4- I- < < cl I x ■ a •• • • x a h- r-t O JI- I _J CO CL O w % »-»o i r l CJ CJ l r i 3 U O id UJ O »-• X O B «x •>-cn < cr < CL «- «- CL o Cl- I- Ul DC -J •-* cnx xD O l UJCO Ul ac< ca c n o cn o J X X UJ n in • a • UJ z < < < < Ct I- I— CD I— I— z % + + •x H a a H •x J UJUJ y y X CL - I — i a a u u ■a- in UJUJ X I • • » • h . u c o u 111 CO O D J ID UJ ID H- z o H- —< Z crZ < z i- cr ID rt X • u n > to (D (D UJ Ul X CD or Z z j cr z ID lL \ \ in X UJ < O Ul CO «-• cu o o o o CO H : CO CU «-* t - • OV z n ^ in O -X CO x x s in x X-I I— ov cu X «• y L U in x -x O L X O D ID ID cr cr < < U z z X V O O n 317 X u X X • >- • * % \ •I x X •x •X UJ l cu « cu < X >- o X - h < l x 318 to > I- < o U- « k to u I- c o z r o cn r x x tz co N X O * Ul _1 X oc r-f O © N etc % ru iu ro X o ~d m U. x m X c »- n w * cn *-» UJ r - z d cn uj IN 1— < o ~ O © j x r l cn o * o ro X © •» N X — CO w >- X X »- ■% o X CD OC > X ~ ro < X N N * 3 »- o ~ U X 3 CO \ X z »» w ro h- CD CL o or > Ul < ro — z d 33 Nl CVI I •> IN h- J— Ll CD N 3 QC U i c n * U «* ru * X N z c n a CD -* O O «—i O X r - © © n O CO to w u j cn ' cu u X a ■4- — ro _ l o Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 319 k m m # k j r h , r m o l s , w h r w , TABLE E a e q , y t , ZPMT(30),ZPMHM(30),FM0LX(30) t COMPUTER PROGRAM L IS T IN G y c p , k d e a , k p t , m r , KJRHJ-STEP(1) m c S t SUBROUTINE BPTNCH COMMON ZPML(30),ZPMG{30) COMMON END C0MM0N WMT(30),WMC(30),RHO(30),GCF(30)C0MM0NFDATC(5),FDATV(5) XMPL(30),XMPG< 30),AUT(30),BUT(30),DUT(30),XDATA(21)/ C0MM0N AGCC(30),A3CA<30),BGCC{30),BGCA(30) WRITE (6,130) THETA WRITE(6/150) YCP COMMON FDX(5/2),FEX(5,2),FYMOL(12,20)*GYM0L(10,10) RETURN CALL PATERN(2,P,STEP/NRD,10,COST)WRITE(6,110) P(l) WRITE(6,120) P(2) WRITE(6,140) Y3 GYM0L(lO,KJRH)=STEP(2)WRITE(6/160) A,H,AEQ,SUMCP,XM0LB,XM0LM GYM0L(8/K J R H )-P(2) GYM0L( GYM0L (4, K JRH > *A > JRH K (4, GYM0L GYM0L(6/KJRH > aAEQ GYM0L(6/KJRH> GYM0L(7,KJRH)»P(1) GYM0L<5/KJRH)*H 150 FORMAT(8X,16HM3L,FRACT.,CRPR=,2X,F7.4) 120 F0RMAT(8X,15HRATE130 F0RMAT(8Xil8KC0NTACT C0NST,CPR*,3X,F14.9)140 FORMAT(8X,16HM0L*FRACT*,BENZ*/2X,F7.4) TIME MIN.=,F10.5) 100 F0RMAT(F1O*5,U,9X,Il,9X,4FlO*5)110 FORMAT(/,8X,16HRATE C0NSTiBENZ»/2XJFl4»9) 160 F0RMAT(5X,6H0PTMCP,6F10»5) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 320 RESMM j TABLE E ) COMPUTER PROGRAM L IS T IN G I0/P (1)/P (2)/STEP(1>/STEP(2) AKR/BKR#AKRR/BKRR/YB/YM/RESBB NRD/ j THETA j *K JRH)*STEP(1) 3 CALL PATERN(2,P,STEP*NRD/I0/C0ST>WRITE(6i110) P (1) GYMOL(10/KJRH)3STEP(2) A«((XPRES*1OO.2O)/(RM0LS+1.O)) AEQ3(EQK+H)/EQ< GYM0L(3/KJRH)=THETA.GYMBL(4/KJRH)3A GYM0L(5/K JRH)3H GYM0L(6/K J R H )3AEQ GYM0L(7/K JRH)3P (1) GYM0L(8/K JRH)3PGYM0L( (2) H»<(RM0LS/(RM0LS+1.O))**4)*(XPRES**4)GYM0L(I*KJRH)aYTKJRH)aYCP 2* GYM0LI THETA«(1.0/WHRW)*60*0 XM0L7*(BUT(15)+BUT(18))/WMT(18) =(XMOLT/(SUMCP+XM8LT+XM0L7))YT READ(5,100) EQK/ XMRLT 3 BUT(17)/WMT(17) 3 XMRLT SUMCP»SUMCP+BUT(I)/WMT(I YCP=(SUMCP/(SUMCP+XM9LT+XM0L7)) XPRES=XDATA{9)/14»69SUMCP=0*0 D0 10 I«l/10 SUMCP'SUMCP+BUT<> <14 14)/WMT DIMENSION P(2),STEP(2> C0MM0N A/H 10 10 CONTINUE C C EQK IS THE EQUILIBRIUM C0NST F0R NC-7 -T0L Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. F14*9) j TABLE E COMPUTER PROGRAM L IS T IN G * * H-» A = SUM( 1J/DIVS SUM( ‘ = A to DB 2 1=4/12 SUM(I-3>=SUM(I*3)+FYM8l(1/J) DB 2 J=1/KDEA SUBR8UTINE MULSVR CBMMBN A/H/THETA/AKR/BKR/AKRR/BKRR/YB/YM/RESBB/RESMMDIMENSION P(2)/STEP(2)/SUM(9) DIVS=KDEA S U M (I)=0* 0 S U M (I)=0* END CBMMBN WMT(30)/WMC(30)/RHB(30)/BCF(30)/XDATA(21)/FDATC(5)/FDATV(5)COMMON XMPL(30),XMPG(30)/AUT(30)/BUT(30)/OUT(30)COMMON AGCC(30),AGCA(30)/5GCC(30),BGCA(30)CBMMBN ZPML(30)/ZPMG(30)/ZPMT(30)/ZPMHM(30)/FMBLX(30)CBMMBN FDX(5/2)/FEX(5/2)/FYMBL(12/20)/GYM8L(10/10)YT/AEU/WHRW/RMBLS/KDEA/YCP/C9MM0NMR/KPT* KJRH/KMM MC/ DB 1 1=1/9 WRITE(6/140) YT WRITE(6/150) YCP RETURN WRITE (6/130) THETA WRITE(6/120) P(2) 1 1 CONTINUE 2 2 CONTINUE 100 FBRMAT(F10»5/I1/9X/I1/9X/4F10»5) 140 FORMAT(8X/16HM0L«FRACT./T8LU2/2X/F7.4) 150 FORMAT(8X/16HM8L.FRACT./CRPR=/2X/F7.4) 120 FBRMAT(8X/15HRATE130 FBRMAT(8X/18HC0NTACT C0NST/CPR*/3X/F14.9) TIME MIN»»/F10.5) 110 FORMAT(//8X/16HRATE C0NST/T0LU2*2X Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 322 TABLE E COMPUTER PROGRAM L IS T IN G P/ STEP / 6/ 2/C0ST) 6/ / STEP P/ ('2/ COMMON AGCC(30)/AGCA(30)/BGCC(30)/BSCA(30) COMMON /ZPMT(30)/ZPMHM(30)/ZPMG(30) ZPML(30) /FM0LX(30) COMMON WMT(30)/WMC(30),RHO(30),QCF130),XDATA(21),FDATC(5)/FDATV(5)COMMON XMPL(30)/XMPG(30)/AUT(30)/BUT(30)> DUT(30 / SUBROUTINE CSTGEN THETA»0»10 130) THETA/RESBB/RESMM 6/ ( ITE WP. END DO 10 I»l/17 CALL PR0C (P/COST) 1 THETA*THET.A+0» RETURN WRITEI6/110) P (1 j / P ( 2) ( P WRITE( / 100) j WRITEI6/110) (1 P WRITE(6/120) 31 KPT P(2)3SUM(7)/DIVS CALL PATERN STEP(1)“SUM(8)/DIVS STEP(2)*SUM(9)/DIVS AKRRaSUM(A)/DIVS BKRR3SUM(5)/DIVS P(1)=SUM(6)/DIVS AKR»SUM(2)/DIVS BKR»SUM(3)/DIVS 10 10 CONTINUE 130 FBRMAT(4X/F7#4/7X/F6»4/6X/F6»4) 120 FORMAT(///5X/5HTHETA/10X/2HYB/10X/HHYM//) 100 FBRMAT(1H1/////5Xj33HGENERATI0N110 FORMAT(//5X/3HKl3/FlO* 6/2X/3HK23/FlO* 0F CONTACT 6) TIME CURVES) Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 323 in > i- < o u. in u 1- X X c o x X O CO ~ V CO Ll o •»UJ X »-« I or — 3 «. or h «-l O ID O CO CU CO X H V CD w I I " % CO < h - «% _J cn UJ \ 1 - 3 ^ CD _ l oc < 0 ^ 0 x u o u Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E asc H !Ui X «-• v m cuyui . z CDU. ■* z < X -ft X •»3 z ^ X in or»- in < E D O o x c t y:~ co ■" U CL CU •» CL 3 CO^ u u u u -ft UJ £0 CD CDz z z CD z z z o o «. o o C/J — * o Ul CD CD CD CU >- V u.* <. U-■» * ''O.l- sZ s >- o z z r CD ** cd 324 ao O co 325 0 z 1 : CO Z i t ~ ~ V C/l X 0 •» Ul j ^ x q : o o o o o o o (VI CO -3- in (v 00 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. TABLE E TABLE COMPUTER PROGRAM L IS T IN G ZPMG(I)“CUT(I)/WMT(I) IF(C0GAS.LT.O.O) RETURN FN0RM = C0GAS/WS’JM = FN0RM MC DO30I»1/ BUT(I)*FN0RM*AUT(I)C U T (I )=BUT(I)*(W MT(I )/WMC(I )) WStJM = 0.0 = WStJM AUT(I)«AGCA{I)#GCP(I)*WMC(I)WSUM*WSUM+AUT(I) 1F(KTYPE.EQ.2)BGCA(I)»DUT(I) COMMON A/H/THETA/AKR/BKRMKRR/BKRR/YB/YM/RESBB/RESMM AU T (I)=0*0 BU T (I)=0*0 C U T (I)=0»0 DB20I=1/MC DUT(I)»0«0 CBMM0N MC/MR/KPT/' Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 327 TABLE E COMPUTERPROGRAM LISTING XMOLL»XMOLL+ZPML(I) W T H Q “XDATA(17)/(XDATA{18)/60t0) BUT(I)=FN0RM*AUT(I) WSUM=WSUM+AUT FN0RM“WTLIQ/WSUM B0 U T (I)=0* COMMON MC/MR/KPT/KDEA/YCP/YT/AEQ/WHRW/RMOLS/KJRH/KMM COMMON /ZPMT(30)/ZPMHM(30)/FMOLX(30) ZPML(30)/ZPMG< 30) COMMON FDX<5/2)/FEX(5/2)/FYM0L(12/20)/GYM0L(10/10) DO 101“1/30 DO CBMMBN A/H/THETA/AKR/BKR/AKRR/BKRR/yB/YM/RESBB/RESMM RETURN END SUBROUTINE LIOX(COUTL/HOUTL/XM0LL)COMMON WMT(3O),WMC(3O),RH0(3O>/GCFC3O>,XDATA(H1>/FDATCC5>/FDATV<5)C0MM0NCOMMON AGCC(30)/AGCA(30)/BGCC(3U)/BGCA(30) XMPL(30)/XMPG(30)/AUT(30)/BUT(30)/DUT(30) XM0LG*XM0LG+ZPMG{I)DUT(I)"CUT(I)•BUT(I>HBUTP*H0UTP+DUTU) ' ZPML(I)*BUT(I)/WMT(I>' 10 10 CONTINUE 20 CONTINUE 30 CONTINUE Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 328 TABLE E STEP# NPASSjIB#C0ST)STEP# COMPUTERPROGRAM LISTING j END SUBROUTINE PATERN(NP#P RETURN H0UTLsH0UTL+BUT(I)*(1*0-(WMC(I)/WMT Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. 329 ********** * * *. in * X * X 3 * < < UJ * X < O 3 3 X o * Z Z C3 3 * CD Ll 3 < X < z * d x > * 3 cn c d . x z in * O LU < ♦ x x cn < u * o x o LU * x x cn x XX c o z z * t-t UJ < * CD o ro z z X • NJ 3 X ~ V to * U X X 3 * o O - LU LU 3 0 u X ■ H I K * X X O X 3 * z «-• o d «» X «. X U 0 w < • d cvi oo z O "J CD * LU X _J U X * L4 • U l n y a i cn cd o cn < cn x < x — -* c/> * 3 X UJ X 3 d n * z z » - 3 _i cn lu cu > 3 0 x cn X < o O CD I CL * X X U LU X * z ** O ' o ro Z d * cn CD U l LU U X LU • - cn X ~ ro ^ >- z z * cn i o x UJ X * O X •»o — z id x > Z 3 X U l cn lu X ~ oo c x •i % OJ * LU z cn 3 Z * X X o ~ u z ~ 3 CD X X X CD < CD X oo »- CD OL O QC > w * X b o w i n X X * z >" 13 33 N l CVJ I - % •—1 X X CD < > < Ll CD N % 3 cr * DC Z LU < 3 X * 3 X L) *<• oj - cr OJ 3 UJ 3 3 CJ z z < CO ~ o o H C3 v 52I * X 3 O CJ ID X * d X ■S O ro oo — UJ CD OJ 3 LU x c *-< d x d ^ ro 3 < •»CD * CD - - > > X * O X 0 U X d «* cr X z M X X d ro x u z z x x * X 3 X < O X LU * X — 3 CD X x x v OJ cn < *-• 3 cn Z X 0 3 < CD NJ L l «* < * 3 UJ 3 Z X * X 1 «* Q_ ^ Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E m w D ( - I U oj a UJ a c cr — O t- ii a in a. Q z i OJ -i « a. ti a. O CD CO l u ll — 1 < I Z> ID < I— ID 10 I . Q — I ' - ' t—i LU I II I(D• —i «-• 0 in (0 . u y U c => 3 0 Ui ■< ozco z UJ O 3 0 • CO ZD c LU > u •—• (J z ~ o ~ z u. < z LU CD -"H " |- l f L ^tJ IDZ t_J CL^ • o ~ i r o fiu w ZJ -nn I- _J D ** 33 ID * *-* 3 j id • 1 UJ *. o o o toin ID vO >- _J vO ID id • H • UJ - w ~3 ~3 o O a CL o ~3 M ——>0 1 Ul z a n - «*>- % % or ac h- ZD z UJ «-i •-« 3 3 U. QC 3 «-i•-« 3 o a. t_» — U QC CC Q u u QC—U Q CC t_> as •< oc V * CVJ h a H iiu r ''0 U^OUJ « OC «*U -H o o O O O -Ho «C o ID w «— * 1— ( Q_ w »H w M w«—* 1—( Q_ EH -) U -) EH -or M H - — — < »-<1— •-*1— 1— 1— cvj ~ cn o 03 • in ^ n • ^ o o o ^ id ID^ ^ — 3 3 —3 UJ to o - — h- J'OvO D “J ID »Hrt co o q - ir ~3 CL Z ■ * J I OJ MQ- Ll UJ —• H- z> l _ O oc < too I-O ■oc • < I u »-< «c (D CO CD z Z3 I I I I 1 o ~ o o I— «—I ►- Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E •H •H J ( i h C - J D c n l U < U. < Cl J CD CJ D CL CD 3 + . ~ Q. J— O O CL • CO h • > z — CD O CD - J Z - J »-O O0 O M J J OJ %O - O - M J T C —• CO CJ CJ U CD !o _! _1 •* H _ + j o o o ^ cuo a ' U M CU OJ CL co o o coo CO CO H u c u c OJ cu ru co CU uCD ru I H . u u 1 % % OJ »— UJ —* ►— s CDCO 0> •s- OJ •—# D+ CD HI- Cl . u DCOCD cn • • A OCDCO f—I hH u 1 CU _J »- CD L S3 *—• H-I OJ u *-• *-• H _ Jt- < H-I < II l j I H - i r r < z ti O h- CL ►—1 w w ll CD CO Du - h CD CD CVJ H-I tn H-I - t n - CU l r U It m ro o U Ul - J Ul UJ Ul J - Ul |— H-I H-I I—I 7 ^ —— —^~7 CD ir> CO L CD l CD_ OJIL J - CD CD CD J—CU «-< • • l _ U U - U H-I H-I H-I . U. U U. CT CT Z — i D iUi . a u c o r H o r o r u c co co «-* cu H O U . U u H4 u » * i f f Q M m (0 » n c H * M z M % 331 CU # w M CD II Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E CD w OL w M •—• cu M m w — nu oco o »— in— u CD OJ co H I M II « OJ OJ o O h nc J ( l J .l_ U .(D lJU C cD tn H « D C •o u o ii coin •4- in « h m »-i z 0. M «* »-4 w J- w H- II CO H H 10 H in CO CO m J (D OJ u ~ cr> ~ m (L « < CD — CD UJ o — < co + - Z «- * II *-» I z CD to CO ON H- n rl CD UJ z f- I H I H hi a . V W. • • a O |— l r l |— r • |—HH h h -OO O O - K UJ • — i— H- •-< _J vO _J \0 •-< UJ COO O UKC K U h o; + • N O H J C ■4- O UJ H-»-- w M HI M w ID r H I H ^ ^ - | T h D ( cd r~ u OH ^ H 2 2 uj % “5 ~ 0 uj Z * - < u UJ ID 0 u < UJ -I 10 UJ u cc z I- I I I I I . o «-»in } — ■ o COOOI-Q.IOCJ—• 4 M • - rl UJ a HI H-l ►I • • 1 in U I—I h- z D z rl - Q. vO ■ H-l O Z CD 4 4 N * -■ " CVJ H W r-. © M CD ID w CD 4 n - O OJ in \ \ > j- < o co U z X CD % in X o U CVJ »- (VI * < o r x vO < a CO 3: x CL > u. v co * in UJ * X o x Ul x a Ul * _l H 0 CD x cr % X < CU CO r 0 ~3 m Q. z CO H- u »-i V CC * ■ CD CO O < 1— X x (O 0 1— •—«or z H- 3 H- _J CO UJ CO I— Ul 3 < O *"XO CD _l CL #-x» CD or CJ 1- CD Q X O CO X CD x + Q. U UJ Z UJ CD X -- CO X- >- X X Z X H- 3 X X O X ID a- >- CVJ in UJ u < u CO < X x S x o * H X X X nr Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. without prohibited reproduction Further owner. copyright the of permission with Reproduced TABLE E CO H M 8 O O u. u. i- u. u. CL < < < < (U (U < < O O «-tQ L L O CL CL cl CL CL CL CL CL CL + _| | _ u n cu UJ UJ cu cl I I » (U - 1 O O O J - m J CDUJ *-» - h O 2 N I O h M n a % w o UJ O VC M II • • U L ro Q w H o X j u r o L u a CL _l < »- Ul CU _J ' O \ UJ < < l c Ui . 0 CL + + CL * + * * * * * i y ui u y iii i u y O UX CD X CO CU CD D 1X >1 CD CD X l J O l o CO Ul UJ — Ul - > O LCO O CO CL L LU 3 Ul CL CL ~ I H II CD 1 V . a o H \ o X CL u j- CL CO CU CL -—. u»- » cu < ' O •**% < Ul (VJ uX w* cu i _ UJ UJ V CL O' CL + + + * * * * q c d - uto cu >- X L O Z CL H 1 o *** UJ CO * + CL * * + •1 CU O TABLE E u 1- n UJ G G y y 0. •3- in oUJ X 1- G ro ro ro x x X o ro ro J- X X B * * • • • h- JO + UJ OJ < _ a. hh u JUJ OJ o * in -1— l- * * u • • _ • < hh uj h- * m xX x m m DO a X CD O HH CL OJ X H HH HH vH CD HH a UJ UJ UJ Ul UJ UJ 1- Ul _J * -♦ >- * II n r UJ DO cu x CD OJ XXX X X X OXco o CO X U rj UJ X X X < 1 _J H- OJ H c OJ o Ul r-o "—■ - < UJ X X I- \ Ul CL CL OJ o X - + + X + * * n * * * Ul CO Ul o O X OJ > X a z n / i + u n • cu Ul z X CO X CJ * X * * * II OJ o HH in > t- < Q li. in u 1- ro < o z z o TO z z u or ro SL TO * X o o. Ul .—'ro _ J X OH rl o CD * DC s. CU TO Z o 3 CD or .— u «-• s l CD < 1- % TO h- 3 ro _J TO Ul < o ro O CD_ J o: O O TO z ID •» X ro TO — X z Z % o •*- z CD DC X TO C X s o or u z 3 CD W TO 1- i d a O DCX 3 m m OJ X N W U CO o o 3 OH U ro ro OJ o OH CD ro o o 1—1 3 X o TO TO or UJ CD a ..— or or TO _1 < O or U H- CD * a: TO 1—o z z J- CL —' 3 CD CL X X X (D < CD Isl U. < X o o o CL % i— oh ro ro ro U OH 3 «. O O O OJ X X (D * - TO TO TO N CD »-• O or or or in < o n n •» TO CD Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. VITA David Erskine Allan was born on August 6, 1939, in Tulsa, Oklahoma. He is the oldest of the two children of Jane and the late Edgar Allan. In 1957, he was graduated from Birdville High School in Fort Worth, Texas. After a two-year period at Texas A & M University, he transferred to the University of Tulsa and in 1962 received the Bachelor of Science Degree in chemical engineering from that institution. In 1964, he subsequently received the Master of Science Degree in chemical engineering from the University of Tulsa. Upon completion of the requirements for the Master of Science Degree, he was employed by the Esso Research and Engineering Company in Baytown, Texas. In 1967, he was transferred to the Esso Research Laboratories in Baton Rouge, Louisiana. He was granted educational leave from the Esso Research Laboratories in 1968 to complete the requirements for the Ph.D. degree in chemical engineering at Louisiana State University. After receiving his doctorate, he returned to the Esso Research Laboratories in Baton Rouge. He is married to the former Mary Margaret Dunaway and they have a daughter, Laura Ann. 3 3 7 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. EXAMINATION AND THESIS REPOET Candidate: David Erskine Allan Major Field: Chemical Engineering Title of Thesis: The Dehydrogenation and Isomerization of Cyclohenxane Over a Platinum Alumina Mordenite Catalyst Approved: /fyiutXo UoirtJuvfa Major Professor and Chairman / h . - ^ " Dean of the Graduate School EXAMINING COMMITTEE: ~\) /*udL &j o a . -mM Date of Examination: January 26, 1970 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.