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Brazilian Journal

of Chemical ISSN 0104-6632 Printed in Brazil Engineering www.abeq.org.br/bjche

Vol. 32, No. 04, pp. 957 - 966, October - December, 2015 dx.doi.org/10.1590/0104-6632.20150324s20140023

THERMODYNAMIC TOPOLOGICAL ANALYSIS OF EXTRACTIVE OF MAXIMUM BOILING

W. F. Shen 1,2, H. Benyounes3* and J. Song4

1Université de Toulouse, INP, UPS, LGC (Laboratoire de Génie Chimique), 4 allée Emile Monso, F-31432 Toulouse Cedex 04, France. 2CNRS, LGC (Laboratoire de Génie Chimique), F-31432 Toulouse Cedex 04, France. 3U.S.T. Oran, Laboratoire de Chimie Physique des Matériaux, Catalyse et Environnement, Oran, Algérie. E-mail: [email protected] 4National Engineering Laboratory for Hydrometallurgical Cleaner Production Technology, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China.

(Submitted: August 23, 2014 ; Revised: October 14, 2014 ; Accepted: November 25, 2014)

Abstract - This paper provides a feasibility study of azeotropic mixture separation based on a topological analysis combining thermodynamic knowledge of residue curve maps, univolatility and unidistribution curves, and extractive profiles. Thermodynamic topological features related to process operations for typical ternary diagram classes 1.0-2 are, for the first time, discussed. Separating acetone/chloroform is presented as an illustrative example; different entrainers are investigated: several heavy ones, a light one, and water, covering the Serafimov classes 1.0-2, 1.0-1a and 3.1-4, respectively. The general feasibility criterion that was previously established for ternary mixtures including only one (1.0-1a or 1.0-2) is now, for the first time, extended to that including three azeotropes (class 3.1–4). Keywords: Azeotropic mixtures; Topological analysis; Residue curve map; Extractive distillation; Maximum boiling azeotrope.

INTRODUCTION are usually calculated from experimental data or from thermodynamic activity coefficient models In most separation systems, the predominant non- regressed on experimental data. Azeotropes occur in ideality occurs in the liquid phase due to molecular a number of nonideal systems. An azeotrope exists interactions. When chemically dissimilar compo- when the liquid and vapor compositions are the same nents are mixed together (e.g., oil molecules and (xi=yi) at a given azeotrope temperature. Figure 1 water molecules), there exists repulsion or attraction and 2sketch typical graphical phase representations between dissimilar molecules. If the molecules repel of the vapor-liquid equilibrium (VLE).The left part each other, they exert a higher partial pressure than if of Figures 1 and 2 shows a combined graph of the the mixtures were ideal. In this case, the activity bubble and dew temperatures, pressure, and the coefficients are greater than unity (called a “positive vapor-liquid equilibrium phase mapping, which give deviation” from Raoult‘s law). If the molecules at- a complete representation of the VLE. In addition, tract each other, they exert a lower partial pressure the right parts these figures give the equilibrium than in an ideal mixture. Activity coefficients are less phase mapping y vs. x alone. Each of these diagrams than unity (negative deviations). Activity coefficients uniquely characterizes the type of corresponding

*To whom correspondence should be addressed

958 W. F. Shen, H. Benyounes and J. Song

Pure A P T vapor azeo 0 P A K >1 A

TB liquid liquid A rich in T y 0 A vapor phrase P B B rich in vapor phrase Pazeo TA vapor Azeotrope K =1 A xazeo x azeo KA<1

xA and yA Pure B xA and yA x A Figure 1: Typical homogeneous mixtures with maximum boiling azeotrope.

Pure A P P Liquid Liquid yA

Pazeo Pazeo Azeotrope B rich in vapor P0 P0 A A phase

P0 P0 B Vapor B Vapor A rich in xazeo xazeo vapor phase

Pure B xA xA and yA xA and yA

Figure 2: Typical homogeneous mixtures with minimum boiling azeotrope.

mixture. Negative deviations (attraction) can give a 0 or 1. These classes are further divided into types higher temperature boiling mixture than the boiling and subtypes denoted by a number and a letter. As a point of the heavier component, called a maximum- result of this detailed analysis, 4 more feasible topo- boiling azeotrope (Figure 1). Positive deviations (re- logical structures, not found by Gurikov, were re- pulsion) can give a lower temperature boiling mix- vealed. Thus, Serafimov’s classification includes 26 ture than the boiling point of the light component, classes of feasible topological structures of VLE called a minimum boiling azeotrope (Figure 2). diagrams for ternary mixtures. Both the classifica- The study of the thermodynamic classification of tions of Gurikov and Serafimov consider topological liquid-vapor phase equilibrium diagrams for ternary structures and thus do not distinguish between an- mixtures and their topological interpretation has a tipodal structures since they have the same topology. long history. Considering a ternary diagram A-B-E Thus, the above classifications include ternary mix- formed by a binary mixture A-B with the addition of tures with opposite signs of the singular points and in an entrainer E, the classification of azeotropic mix- an opposite direction of the residue curves (antipodal tures into 113 classes was first proposed by Matsu- diagrams). Serafimov’s classification is presented yama et al. (1977). As explained by Hilmen (2000), graphically in Figure 3. The transition from one anti- Serafimov (1996) extended the work of Gurikov pode to the other (e.g., changing from minimum-to (1958) and used the total number of binary azeotropes maximum-boiling azeotropes) can be made by M and the number of ternary azeotropes T as classifi- simply changing the signs of the nodes and inverting cation parameters. Serafimov’s classification denotes the direction of the arrows. The correspondence be- a structural class by the symbol “M.T.” where M can tween Matsuyama and Serafimov’s classification is take the values 0, 1, 2 or 3, and T can take the values detailed in Kiva et al. (2003).

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Thermodynamic Topological Analysis of Extractive Distillation of Maximum Boiling Azeotropes 959

2013b; Laroche et al., 1992). Based on the calcu- lation of the path and possible composition pro- files of the column sections, Lang et al. (2000a, b) extended the feasibility of extractive distillation in a batch rectifier for the investigation of the separation of maximum azeotropes, Rodriguez-Donis et al. (2009a, 2012a,b) studied the maximum azeotropic mixture separation. However, extractive distillation studies have always considered a heavy entrainer to split a minimum boiling azeotrope which belongs to class 1.0-1a (Knapp and Doherty, 1994a; Luyben, 2008a, 2008b; Brüggemann and Marquardt, 2004). Düssel and Stichlmair (1995) proposed a hybrid method by replacing one distillation step into a de- cantation or absorption, which is less energy inten- sive for the separation of minimum azeotropes with a heavy entrainer. These study focus on maximum azeotropic mixture separation and provide a useful guide for the separation of azeotropic mixtures by batch extractive distillation.

SIMPLE THERMODYNAMIC INSIGHT TOOLS

Residue Curve Map

Figure 3: Azeotropic ternary mixture: Serafimov’s A residue curve map (RCM) is a collection of the 26 topological classes and Reshetov’s statistics (o) liquid residue curves in a simple one-stage batch unstable node, (∆) saddle, (●) stable. Reproduced from distillation originating from different initial composi- Hilmen et al. (2003), with permission from Elsevier. tions. The RCM technique is considered to be a pow- erful tool for flow-sheet development and the pre- Ternary systems are studied in this research on liminary design of conventional multi-component the basis of Serafimov’s classification, including 26 separation processes and has been extensively stud- classes of feasible topological structures of VLE dia- ied since 1900. Using the theory of differential equa- grams for ternary mixtures (Serafimov, 1996). The tions, the studies of the topological properties of the entrainer E is conventionally defined by its boiling residue curve map (RCM) are summarized in two temperature with respect to the binary mixture A-B recent articles (Kiva et al., 2003; Hilmen et al., 2003). to separate. A heavy entrainer E has a boiling tem- The simple RCM was modeled by the set of dif- perature higher than A and B; an intermediate en- ferential equations. trainer E has a boiling temperature between the A and B; a light entrainer E has a boiling temperature dx i  x  y (1) lower than A and B. In industry, the extractive distil- dh ii lation entrainer is usually chosen as heavy (high boil- ing) component mixtures (Luyben and Chien, 2010; where h is a dimensionless time describing the rela- Lang et al., 1994; Rodriguez-Donis, 2009; Shen 2012; tive loss of the liquid in the still-pot.xi is the mole Shen et al., 2013a; Benyounes et al., 2014; Benyahia fraction of species i in the liquid phase, and yi is the et al., 2014). Theoretically, any candidate entrainer mole fraction of species i in the vapor phase. The yi satisfying the feasibility and optimal criteria can be values are related with the xi values using equilib- used, no matter whether it is a heavy, light, or inter- rium constants Ki. mediate entrainer. Literature studies on intermediate The singular points of the differential equation entrainers or light entrainers validate this assumption are checked by computing the associated eigen- (Lelkes et al., 2002; Lang et al., 1999; Rodriguez- values. Within anon-reactive residue curve map, a Donis et al., 2012; Shen, 2012; Shen and Gerbaud, singular point can be a stable or an unstable node or

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960 W. F. Shen, H. Benyounes and J. Song a saddle, depending on the sign of the eigenvalues the behavior of these functions for binary mixtures. related to the residue curve equation. For non-reac- The composition dependencies of the distribution tive mixtures, there are 3 stabilities: unstable node, coefficients are qualitative and quantitative charac- stable node, and saddle point. The residue curves teristics of the VLE for the given mixture. In a simi- move away from the unstable node to stable node lar way to the distribution coefficient, the relative with increasing temperatures. Some residue curves volatility features can be represented by isovolatility move away from a saddle point with decreasing tem- lines and the system of univolatility lines when αij=1 peratures and others with increasing temperatures. proposed. It is evident that the point of a binary aze- otrope gives rise to aunivolatility line and then the Unidistribution and point of a ternary azeotrope gives rise to the three univolatility lines. These features are represented in The distribution coefficient and relative volatility Figure 4 for the most probable classes. The main aim are well-known characteristics of the vapor–liquid of their work (Kiva et al., 2003) was to consider equilibrium. The distribution coefficient Ki is defined feasible structures of the residue curve maps in more by: detail, and in fact this study helped to popularize more refined classification of the ternary diagrams. y i The diagrams of unidistribution lines were used as a Ki  (0) main tool for analysis of tangential azeotropes. xi

Ki characterizes the distribution of component i between the vapor and liquid phases in equilibrium. Ki=1 defines the unidistribution curve. The vapor is enriched with component i if Ki>1, and is impover- ished with component i if Ki<1 compared to the liquid. The higher Ki, the greater the driving force (yi-xi) and the easier the distillation will be. The ratio of the distribution coefficient of components i and j gives the relative volatility. The relative volatility is a very convenient measure of the ease or difficulty of sepa- ration in distillation. The volatility of component j relative to component i is defined as:

yxii/ ij  (3) yxjj/

The relative volatility characterizes the ability of component i to transfer (evaporate) into the vapor phase compared to the ability of component j. Com- ponent i is more volatile than component j if ij >1, Figure 4: Unidistribution and univolatility line dia- and less volatile if ij <1. For ideal and nearly ideal grams for the most probable classes of ternary mix- mixtures, the relative volatilities for all pair of com- tures according to Reshetov’s statistics. Reproduced ponents are nearly constant in the whole composition from Kiva et al. (2003), with permission from Elsevier. space. The situation is different for non-ideal and in particular azeotropic mixtures, where the composi- Recently, Rodriguez-Donis et al., (2009a, 2009b, tion dependence can be complex. 2010, 2012a, 2012b) studied how univolatility lines Unidistribution and univolatility line diagrams split the composition triangle into regions of a cer- can be used to sketch VLE diagrams and represent tain order of volatility of components and defined a topological features of the simple phase transfor- general feasibility criterion for extractive distillation mation trajectories. The qualitative characteristics of under an infinite ratio: “Homogeneous extrac- the distribution coefficient and relative volatility tive distillation of a A-B mixture with entrainer E functions are typical approaches for thermodynamic feeding is feasible if there exists a residue curve con- topological analysis. Kiva et al., (2003) considered necting E to A or B following a decreasing (a) or

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Thermodynamic Topological Analysis of Extractive Distillation of Maximum Boiling Azeotropes 961 increasing (b) temperature direction inside the region 5(b) show the typical feature for a residue curve map where A or B are the most volatile (a) or the heaviest (Figure 5(a)) and an extractive map (Figure 5(b)). (b) component of the mixture”. In this work, we con- The column has a single rectifying section, and the sider unidistribution and univolatility line diagrams composition profile of the rectifying section in a tray for the purpose of sketching the volatility order re- column follows strictly a residue curve assuming the gion and thus of assessing the feasible structures that constant molar overflow hypothesis and infinite will obtain possible products and offer information number of trays (Jobson et al., 1995; Krolikowski, of possible limitations of entrainer feed. 2002). The rcm analysis states that both original components A and B are unstable nodes; the en- APPLICATION OF TOPOLOGIC ANALYSIS trainer (E) is the stable node, while the maximum FOR SEPARATING ACETONE/CHLOROFORM boiling azeotrope between AB is a saddle point. The rcm stable separatrix, which is also called the basic The separation of the maximum-boiling azeotrope distillation region boundary, links the azeotrope to E. acetone/chloroform using 7 different candidate sol- Separation of components A and B is theoretically vents was employed as case study. The azeotropic be- impossible by conventional haviors in multicomponent mixtures with solvents adding E initially into the still, because components are shown in Table 1. Separation of the azeotropic A and B are located in different distillation regions, mixture A-B with heavy entrainers DMSO (E1), chlo- separated by the rcm stable separatrix. Under infinite + robenzene (E2), EG (E3), o-xylene (E4) or benzene (E5) R and FE/V~0 (Figure 5(b)), the maximum boiling has same type of singular properties, as they exhibits azeotrope azeoAB is a saddle Sextr and A and B are the same 1.0-2 classification, while using water (E6) stable extractive nodes (SNA,extr and SNB,extr, respec- introduces two more azeotropes, which makes the tively), whereas E is an unstable extractive node separation more complicated. The light entrainer (UNextr). There will always be an unstable extractive dichloromethane (E7) has another type of singular separatrix between UNextr (vertex E) and Sextr (Tmax character. The separation of the maximum-boiling azeotrope AB). All the general features of the to- mixture acetone/chloroform with the proposed sol- pology of the extractive composition profile map and vents exhibit class 1.0-1a, 1.0-2, and 3.1-4. The ther- its difference relative to class 1.0-1a are now dis- modynamic insights published in previous work cussed as follows, depending on the intersection of (Shen et al., 2013a; Benyounes et al., 2014; Benyahia the αAB=1 curve with the triangle edges. Figure 5(c) et al., 2014; Lelkes et al., 2002; Lang et al., 1999; shows the extractive composition profile maps for a Rodriguez-Donis et al., 2012; Shen et al., Gerbaud, higher value of FE/V but lower than (FE/V)max while 2013b) and validated for the 1.0-1a and 1.0-2 ternary R is infinite. Sextr moves inside the ternary composi- mixture class are applied here, and the general feasi- tion space, precisely along the univolatility line αAB=1. bility criterion previously established for ternary Furthermore, the stable extractive nodes SNA,extr and mixtures including only one azeotrope (1.0-1a or SNB,extr move toward E over the binary edges A-E and 1.0-2) is now, for the first time, extended to that in- B-E, respectively. Therefore, there exist a stable cluding three azeotropes (class 3.1–4). extractive separatrix SNB,extr-Sextr-SNA,extr and an unstable extractive separatrix UNextr-Sextr-UNextr’. Topological Features Related to Process Operation Logically, under finite reflux ratio, the unstable extractive separatrix UNextr-Sextr-UN’ will move The general feasibility criterion holds for infinite toward the selected distillate product (A or B), reflux ratio operations. In this section we take a class reducing the size of their respective feasible regions. 1.0-2 diagram to display the qualitative topological Further increases in FE/V allow the fusion of Sextr and features of the ternary system related to process opera- SNA,extr. All extractive composition profiles then reach + tion. Under infinite R and FE/V=0 , Figures. 5(a) and the unstable node SNB,extr (Figure 5(d)).

Table 1: Types of single points of extractive distillation entrainers.

Azeotropes introduced by E E A B AZEO_AB A-E B-E A-B-E Heavy entrainers (E1- E5) none none none Stable Unstable Unstable Saddle Light entrainer (E7) none none none Unstable Saddle Saddle Stable Water (E6) Unstable Unstable Saddle Stable Saddle Saddle Stable

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962 W. F. Shen, H. Benyounes and J. Song

1.0-2 Residue curve map Extractive profile maps

(a) B [UNrcm] (b) B [SNext,B] R  R  Residue + FE/V = 0 FE/V  0 curve Distillation Boundary I Tmax azeoAB Tmax azeoAB [Srcm] [Sext]

I AB = 1

E (heavy) A E xP A [SNrcm] [UNrcm] [UNext] [SNext,A]

(c) B (d) B R R

FE/V < (FE/V)max,R FE/V > (FE/V)max,R

[SNext,B]

Tmax azeoAB Tmax azeoAB [SNext,B]

[UNext] [Sext] [UNext]

xP [Sext] E [SNext,A] A EAresidue curve passing near A

Product A Product B (e) B (f) B R finite R finite + + FE/V  0 [SNB,ext] FE/V  0

[Sext] Tmax azeoAB Tmax azeoAB

[Sext]

[UNext] [UNext]

x x E P [SNA,ext] A E P A

Product A Product B (g) B (h) B R finite R finite

FE/V < (FE/V)max FE/V < (FE/V)max

Tmax azeoAB Tmax azeoAB [SNB,ext] [Sext]

[UNext] [UNext]

x xP E [Sext] P A E [SNA,ext] A

Extractive Stable extractive Unstable extractive profile separatrix separatrix

Figure 5: Topological features related to the extractive distillation process opera- tion of class 1.0-2 when using a heavy entrainer.

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Thermodynamic Topological Analysis of Extractive Distillation of Maximum Boiling Azeotropes 963

The above observation shows the significance of A and B are rcm unstable nodes. The size of the the univolatility line in the synthesis of the homo- volatility order regions BAE (and BEA eventually) geneous extractive distillation process, because it and ABE (and AEB eventually) depends on the αAB sets limiting values of (FE/V)max. Here, the αAB=1 =1 univolatility curve location. The other univolatility line sets a maximum value (FE/V)max,B,R∝ to recover curve (αBE =1 in Figure 6(a)) may exist, but does not component A. Under finite reflux ratio, extractive affect the process feasibility and the product profiles are dependent on the distillate composition. targeting. Both A and B are connected by a residue Therefore, rectifying and extractive composition curve of decreasing temperature to E, which nears profile maps must be computed for both possible the triangle edge in the ternary diagram. Therefore, distillates xDA and xDB for different FE/V and R con- they can both be distillate products, depending on the ditions (Figures 5(e) and 5(g) for product A and Figure location of the global feed composition, either in 5(f) and 5(h) for product B). For Figure 5(e), the BAE (B product) or in ABE and AEB (A product). ternary saddle Sextr moves toward vertex B while for The extractive profile map analysis enables identi- Figure 5(g) Sextr moves toward the B-E edge inside fication of feasible and unfeasible regions for the the composition triangle and the stable node SNB, extr composition in the extractive section of the column. is located outside the composition triangle. The re- Those regions are bounded by extractive stable and flux ratio allows one to set the extractive separatrix unstable separatrices crossing at saddle extractive on the left of the rectifying separatrix, and an optimal singular points (Knapp and Doherty, 1994).The rcm reflux ratio exists for a given FE/V. The occurrence singular points become the singular points of the of an unstable extractive separatrix prevents com- extractive profile map with an opposite stability for plete recovery of the distillate, because an unfeasible the heavy entrainer case. Then for the 1.0-2 class, region of growing size arises as R decreases. In con- increasing the entrainer flowrate, the extractive pro- trast, for Figures 5(f) and 5(h), the ternary saddle Sextr file singular points SNextr,A and SNextr,B originating moves toward the A-E edge inside the composition from A and B move towards the entrainer vertex. In triangle and the stable node SNA,extr is located outside Figure 6(a), SNextr,A can go up to E and there is no the composition triangle. limiting flowrate. But SNextr,B disappears at point xP when it merges with the saddle extractive Sext origi- Topological Feasibility Criterion nating at the Tmax azeAB. So, there is a maximum flowrate ratio FE/Vmax to obtain A as product by ex- Figure 6 displays the general thermodynamic prin- tractive distillation. That behavior is directly related ciples of the 1.0-2 class corresponding to extractive to the volatility order regions, which explains how distillation of a maximum-boiling azeotropic mixture the general criterion is established. The above crite- A-B with heavy entrainer benzene.While using rion indicates that A can be distillated without any heavy entrainer DMSO, chlorobenzene, EG or xy- limit for the entrainer feed ratio, whereas there exists lene, the ternary systems bear the same features as a maximum entrainer feed ratio to get B. Depending benzene. The αAB=1 reaches the binary side B-E when on the overall feed composition, either A or B can be using these heavy entrainers. Figure 6(a) shows that distilled: from xF1 B is the distillate product; from xF2 a rectifying stable separatrix divides the composition below the extractive separatrix, A is the distillate space into two distillation regions. Both components product.

(a) Chlorform (B) 61.2°C (b) Chlorform (B) 61.2°C FE/V =0.1 Rectifying [SNextr,B] xDB R=60 profile for B XYZ Volatility order Extractive profile Tmax azeoAB [SNextr,B] (X possible distillate) X range 65.1°C F1 Tmax azeoAB 65.1°C BAE rcm stable separatrix II [Sextr] αAB = 1 αAB = 1 xP IV III xP ABE Rectifying XF2 [SNextr,A] αBE = 1 profile for A

xDA AEB αBE = 1

Benzene (E) 81.1°C [SNextr,A] Acetone (A) 56.3°C Benzene (E) 81.1°C Acetone (A) 56.3°C range Rectifying Separatrix Rectifying Separatrix Extractive Separatrix Figure 6: Thermodynamic feasibility criterion for 1.0–2 case b with heavy entrainer benzene (DMSO; chlorobenzene; EG or o-xylene).

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964 W. F. Shen, H. Benyounes and J. Song

Figure 7(a) summarizes the topological features due curve of increasing temperature from E to A. and the products achievable for the class 1.0–1a Figure 7c presents the extractive profiles under the (maximum boiling azeotrope with a light entrainer). condition of infinite reflux and FE/V = 0.5; all the The point of entrainer dichloromethane is the residue extractive profiles start from the unstable node point, curve unstable node UNrcm (open circle); apex A and depend on the overall feed composition, and either B are residue curve saddle points Srcm (open triangle product can be distillated correspondingly. down), while the maximum boiling azeotrope is a Figure 7(b) displays the thermodynamic proper- stable node SNrcm (filled circle). By using azeotropic ties for the ternary mixtures of acetone – chloroform distillation, it is impossible to recover A or B, but – water where the entrainer water forms two addi- rather the unstable node maxT azeotrope at the col- tional binary minimum-boiling azeotropes. Accord- umn bottom in a batch stripper or in the continuous ing to Serafimov’s classification they correspond to column bottom. By using extractive distillation, ei- the diagrams class 3.1-4. Depending on the stability ther A or B can be removed as product depending on of singular points, there is only one or several possi- the univolatility line AB=1 location. The univolatil- bilities for the location of the univolatility lines al- ity line starts at the maximum boiling azeotrope, ways associated with the position of azeotropes. intersects one triangle side at xp,A and divides the Univolatility lines intercept each other at the ternary composition graph into two volatility order regions, azeotrope, and part of univolatility lines overlap with EBA and EAB. The xP,A location decides that A can the residue curve map boundary. The univolatility be recovered from the bottom as xP,A lies on the A-E lines then define volatility order regions like AEB: A side (Figure 7(a)). A is the most difficult volatile in is more volatile than E, and E is more volatile than the region EBA where it is connected to E by a resi- B. From one side of a univolatility line αAB to the

Acetone (A) (a) (b) Chlorform (B) 61.2°C (329.2K) [Srcm] FE/LT< (FE/ LT) min XYZ Volatility order XWA S Residue curves (X possible distillate) Tmin azeoAB ZYX Volatility order 55.9°C EBA (X possible bottom) Tmax azeoAB Tmax azeoAB 64.6°C EAB αBE = 1 337.3 K αAB = 1 [SNrcm] αAB = 1 BEA

xp,A αAE = 1

[SNextr,A] 60.5°C Tmin azeoAB EBA range EAB 56.1°C AEB XDA

Chloroform (B) Dichloromethane (E) xp (334.2K) [S ] (312.8K) [UN ] Water(E)100°C [SNextr,A] Acetone (A) 56.3°C rcm rcm range EBA: stripping of (A) Residue curves Rcm stable separatrix above (FE/LT)min,A (d) (c) Chlorform (B) (c) Chlorform (B) F /V = 0.5 E FE/V =0.5 R= ∞ R= ∞

[UNunstable] [UNunstable]

XDA

Water(E) Acetone (A) Acetone (A) Dichloromethane (E) Extractive profile Extractive profile Extractive separatrix

Figure 7: Thermodynamic feasibility criterion (a, c) for 1.0–1a case a with light entrainer dichloromethane (b, d) for 3.1–4 case a with water.

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Thermodynamic Topological Analysis of Extractive Distillation of Maximum Boiling Azeotropes 965 other, the relative volatility between A and B is re- high economic and environmental advantage, it is a versed. Because αA,B=1 crosses the diagram binary limited efficiency solvent for separating the ace- A-E side, the feasibility criterion is valid for acetone tone/chloroform system. Application of the thermo- (A) as the lightest component, and there is a residue dynamic criterion hints at product feasibility, in curve connecting the azeotropic components, ena- which the product goes up or down using a rectifying bling recovery of acetone as product in a very small or stripping column, operating parameter values and region AEB. The feasibility criterion also holds for solvent efficiency. the high-boiling component water (E), enabling its recovery as product in a stripper. Besides, the separa- tion using the entrainer water, which is immiscible NOMENCLATURE with chloroform (see Figure 7(d)), makes the separa- tion process harder than it should be. Even though Alight original component water as a solvent has a high economic and environ- ABE volatility orders, A is possible distillate mental advantage, the thermodynamic insight indi- B heavy original component cates that it is a limited efficiency solvent for sepa- E entrainer rating the acetone/chloroform system. FE/F entrainer - feed flow rate ratio, continuous process FE/V entrainer - feed flow rate ratio, batch CONCLUSIONS process (FE/V)min minimum entrainer - feed flow rate ratio, A topological insight methodology has been pro- batch process posed to assess the feasibility of the separation of (FE/V)max maximum entrainer - feed flow rate ratio, aazeotropic mixture by using different kinds of en- batch process trainer. The possible products in the distillation col- Ki distribution coefficient umn and the existence of a limiting entrainer/feed RCM Residue Curve Map flow rate ratio are predicted using general feasibility [SNextr] extractive node feasible range criteria. The separation of the maximum-boiling aze- TmaxazeAB the maximum azeotrope point of mixture AB otrope acetone/chloroform is used as a case study, TminazeAB the minimum azeotrope point of mixture AB using 7 candidate solvents, the ternary system can be maxT the maximum boiling temperature classified into diagrams class 1.0–1a (using light en- minT the minimum boiling temperature trainer), class 1.0–2 (using heavy entrainer), and class UN unstable node originating at the entrainer 3.1-4 (using water).The conceptual design of the fea- vertex sibility study of the three classes is developed by the UN’ unstable node originating outside the analysis of the residue curve map and product regions. composition simplex For the class 1.0–2 (separation of acetone/chloro- xp intersection point between univolatility form by adding heavy entrainer E1-E4), the univola- curve and residue curve passing through tility line αAB =1 can intersect the B-E edge. The the distillate product general criterion states that, under infinite reflux ratio, both A and B can be obtained at the top, de- pending on the overall feed composition location. REFERENCES There also exists a maximum value for FE/F when component A is the distillate. For the class 1.0–1a, Benyahia, K., Benyounes, H. and Shen, W., Energy corresponding to the separation of a maximum boil- evaluation of ethanol dehydration with glycol ing azeotropic mixture A-B using a light entrainer mixture as entrainer. Chemical Engineering Tech- E7, the process is feasible above a minimal limit nology, 37(6), 987-994(2014). entrainer/feed flow rate ratio value, so that the ex- Benyounes, H., Shen, W. and Gerbaud, V., Entropy tractive stable node SNextr,A is located in the region flow and energy efficiency analysis of extractive where it can intersect a stripping profile which can distillation with a heavy entrainer. Industrial En- reach the expected product A. The possible gineering Chemistry Research, 53(12), 4778-4791 advantage of using a light entrainer is to offer more (2014). opportunities for separating minT and maxT azeo- Brüggemann, S. and Marquardt, W., Shortcut methods tropic mixtures when it may not be easy to find a for nonideal multicomponent distillation: 3. Ex- heavy or intermediate entrainer. The thermodynamic tractive distillation columns. AIChE Journal, 50, insight indicates that using solvent water corresponds 1129-1149 (2004). to diagrams class 3.1-4 and, even though it has a Düssel, R. and Stichlmair, J., Separation of azeo-

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