Elementary Reaction Models for CO Electrochemical Oxidation on an Ni/YSZ Patterned Anode

Total Page:16

File Type:pdf, Size:1020Kb

Elementary Reaction Models for CO Electrochemical Oxidation on an Ni/YSZ Patterned Anode Elementary Reaction Models for CO Electrochemical Oxidation on an Ni/YSZ Patterned Anode The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Shi, Yixiang, et al. “Elementary Reaction Models for CO Electrochemical Oxidation on an Ni/YSZ Patterned Anode.” ASME 2010 8th International Fuel Cell Science, Engineering and Technology Conference: Volume 2, 14-16 June, 2010, Brooklyn, New York, ASME, 2010, pp. 159–66. © 2010 by ASME As Published http://dx.doi.org/10.1115/FuelCell2010-33205 Publisher ASME International Version Final published version Citable link http://hdl.handle.net/1721.1/119260 Terms of Use Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Proceedings of the ASME 2010 Eighth International Fuel Cell Science, Engineering and Technology Conference FuelCell2010 June 14-16, 2010, Brooklyn, New York, USA FuelCell2010-33205 ELEMENTARY REACTION MODELS FOR CO ELECTROCHEMICAL OXIDATION ON AN NI/YSZ PATTERNED ANODE Yixiang Shi1,2 Won Yong Lee Ahmed F. Ghoniem 1 Department of Mechanical Engineering Department of Mechanical Engineering Department of Mechanical Engineering Massachusetts Institute of Technology, Massachusetts Institute of Technology, Massachusetts Institute of Technology, Cambridge, MA, USA, 02139 Cambridge, MA, USA, 02139 Cambridge, MA, USA, 02139 2 Department of Thermal Engineering, Tsinghua University, Beijing, China, 100084 measurements for CO electrochemical oxidation on ABSTRACT nickel/yttria-stabilized zirconia (Ni/YSZ) patterned anode, and examine Analysis of recent experimental impedance spectra and possible limiting steps in CO oxidation kinetics. We consider four polarization curves of nickel/yttria-stabilized zirconia (Ni/YSZ) possible reaction mechanisms for CO electrochemical oxidation at Ni/YSZ anode, as shown in Table 1. Mechanism I is taken from Etsell patterned anode of a solid oxide fuel cell (SOFC) are used to determine 12 the limiting steps in CO electrochemical oxidation kinetics. A and Elengas , and involves gaseous species or species adsorbed on the surface of the electrode and/or the electrolyte. In mechanism II, the comprehensive 1D model is proposed for the prediction of the 2- steady-state polarization curve of a patterned anode SOFC. The model oxidation of adsorbed CO by O in the electrolyte is proposed. incorporates gas species adsorption/desorption with surface diffusion Mechanism Is and IIs are constructed by adding the surface diffusion and one of two possible charge transfer reaction steps: O charge steps to Mechanism I and II, respectively. These kinetic mechanisms transfer reaction [O2-(YSZ)+(Ni)↔(YSZ)+O(Ni)+2e-], or CO charge are illustrated in Fig. 1, in which the geometry is similar to that used in 2- - the experimental setup of the patterned Ni anode button cell on a YSZ transfer reaction [O (YSZ)+CO(Ni)↔(YSZ)+CO2(Ni)+2e ]. We show single crystal with LSM/YSZ porous cathode investigated by that the mechanism incorporating charge transfer between adsorbed CO 11 and oxygen vacancy is able to better predict the experimental data. We Habibzadeh et al. estimate some of the model parameters, such as the exchange current density and charge transfer coefficient by fitting the simulation of the polarization curves to the experimental data. Key Words: solid oxide fuel cells, carbon monoxide oxidation, patterned electrode, charge transfer, surface diffusion 1. Introduction Solid oxide fuel cells (SOFCs) are known for their fuel flexibility and tolerance to carbon monoxide, CO. Thus, syngas can be used in an SOFC directly in generating electricity. Syngas, a mixture of carbon monoxide, CO, and hydrogen, H2, is derived from steam reforming of coal, biomass, methane, or other hydrocarbons.1 In order to optimize the anode performance, it is important to construct Figure 1. Patterned Ni patterned anode geometry and elementary comprehensive electrochemical oxidation models H2 and CO near the three-phase boundary (TPB) of the SOFC, based on sound reaction pathways experimental data and kinetic mechanisms. Compared with the systematic experimental and theoretical studies of H2 electrochemical We propose an 1D comprehensive electrochemical oxidation oxidation 2,3,4,5,6,7,8,9,10, few studies have been performed for the CO model for the prediction of the steady-state polarization curve of a electrochemical oxidation mechanism. patterned anode SOFC. The model utilizes one of the CO Different reaction mechanisms have been proposed for CO electrochemical oxidation mechanism described in Table 1 and electrochemical oxidation, depending on the experimental conditions incorporates either of the two charge transfer steps shown in Table 1, and the cell material. To reduce the effects of gas-phase mass transport that is: the O charge transfer or the CO charge transfer, as well as on the impedance, and eliminate some of the ambiguities in the analysis surface diffusion processes. Some of the model parameters are given of electrochemical oxidation rates, Habibzadeh 11 studied the CO and others are adjusted to match experimental polarization curves. We electrochemical characteristics on a Ni patterned anode. In this paper, use the experimental data to determine the electrochemical mechanism we use their experimental impedance spectra and polarization curve most likely to predict the measurements accurately. 1 Copyright © 2010 by ASME Downloaded From: https://proceedings.asmedigitalcollection.asme.org on 11/20/2018 Terms of Use: http://www.asme.org/about-asme/terms-of-use occupied by a single CO molecule. Table 1 CO electrochemical oxidation mechanisms (7) The microstructure of the cathode is stable and homogeneous. The distributions of the two conducting phases (electronic and CO adsorption CO(g)+(Ni) ←⎯⎯⎯→⎯ CO(Ni) ionic) in the electrodes are assumed to be uniform. O charge transfer In order to simplify the calculation, the three-dimensional domain 2- - O (YSZ)+(Ni) ←⎯⎯⎯→⎯ O(Ni)+(YSZ)+2e shown in Fig. 1 is mapped onto a one-dimensional computational I adsorbed CO reaction domain as shown in Fig.2. In this figure, the model structures, calculation domains and boundaries are labeled schematically, as CO(Ni)+O(Ni) ⎯⎯→ CO (Ni)+(Ni) ←⎯⎯ 2 described later. ⎯⎯→ CO2 desorption CO22 (Ni) ←⎯⎯ CO (g)+(Ni) Is Mechanism I with adsorbed species surface diffusion CO adsorption CO(g)+(Ni) ←⎯⎯⎯→⎯ CO(Ni) CO charge transfer II 2- ⎯⎯→ - CO(Ni)+O (YSZ) ←⎯⎯ CO2 (Ni)+ (YSZ)+2e ⎯⎯→ CO2 desorption CO22 (Ni) ←⎯⎯ CO (g)+(Ni) IIs Mechanism II with adsorbed species surface diffusion The model equations and parameters are described in detail in Section 2. The results are obtained and discussed in Section 3. Finally conclusions are stated in Section 3. 2. Model development Model geometry and assumptions The model assumptions are: Figure 2. Representation of the 3D cell using a 1D calculation domain (1) Gases are modeled as ideal gases. (2) The temperature of the cell is uniform. All parameters are evaluated Using the above assumptions and the simplified model at the given temperature. (3) The electrochemical mechanism is modeled using a set of geometry, a 1D SOFC model is formulated considering elementary reactions that represent chemical reactivity at the anodic heterogeneous chemistry, electrochemistry, charge molecular scale. Heterogeneous thermochemical and and mass balance, as described in the following sections. electrochemical reactions are assumed to take place on both of the Ni surface and YSZ surface. (4) The charge transfer reaction is assumed to be a surface spillover Governing equations reaction taking place at the TPB as shown in Fig. 1. Two different reaction pathways are studied. A. Anode heterogeneous chemistry (5) Surface diffusion is one-dimensional and is modeled as Fickian Heterogeneous chemistry at the catalytic surface of the anode is diffusion along the surface in the direction perpendicular to the used. Ni is an effective catalyst for surface reactions, especially for B. hydrocarbon fueled SOFC. A simplified heterogeneous mechanism 13 14 15 (6) One adsorbed CO molecule occupies one vacant position on the from Hecht et al. , Janardhanan et al. and Zhu et al. is used, as surface, neglecting the possibility of two vacant positions being shown in Table 2. Table 2 Heterogeneous reactions mechanism on the Ni surface a a a -1 Reaction A (cm, mol, s) n E (kJ mol ) Adsorption −02 b 1f O2 + Ni(s) + Ni(s) → O(s) + O(s) 1.000×10 0.0 0.00 −05 b 2f CO2 + Ni(s) → CO2(s) 1.000×10 0.0 0.00 3f CO + Ni(s) → CO(s) 5.000×10−01 b 0.0 0.00 Desorption +23 1b O(s) + O(s) → Ni(s) + Ni(s) + O2 4.283×10 0.0 474.95 +07 2b CO2(s) → CO2 + Ni(s) 6.447×10 0.0 25.98 +11 3b CO(s) → CO + Ni(s) 3.563×10 0.0 111.27 c θCO(s) −50.00 Surface reactions 2 Copyright © 2010 by ASME Downloaded From: https://proceedings.asmedigitalcollection.asme.org on 11/20/2018 Terms of Use: http://www.asme.org/about-asme/terms-of-use 4f C(s) + O(s) → CO(s) + Ni(s) 5.200×10+23 0.0 148.10 4b CO(s) + Ni(s) → C(s) + O(s) 1.354×10+22 −3.0 116.12 c θCO(s) −50.00 +19 5f CO(s) + O(s) → CO2(s) + Ni(s) 2.000×10 0.0 123.60 c θCO(s) −50.00 +23 5b CO2(s) + Ni(s) → CO(s) + O(s) 4.653×10 −1.0 89.32 a Arrhenius parameters for the rate constants are written in the form: k = AT n exp(−E/RT). b Sticking coefficient. c Coverage-dependent activation energy. The surface adsorbates are assumed to be uniformly distributed 0 The sticking coefficient Si is temperature dependent and is expressed over the Ni surface. The species molar production rates depend on the as gaseous species concentrations and the surface species concentrations, 0 b ⎛⎞d which are expressed by the coverage.
Recommended publications
  • Density Functional Theory Study of Substituent Effects on the 1,3
    Density Functional Theory Study of Substituent Effects on the 1,3-Dipolar Cycloaddition Mechanism Pengliag Sun1, Meng Liu2, Wei Pu1, Yi Jin1, Shixi Liu1, Qiue Cao1, and Zhongtao Ding1 1Yunnan University 2Chinese Academy of Sciences May 29, 2020 Abstract In this study, we performed density functional theory calculations using the B3LYP, M052X, M062X, and APFD functionals to investigate substituent effects on the mechanism of 1,3-dipolar cycloaddition, a classical and effective method for the synthesis of heterocyclic compounds. The results showed that changing the substituents on the chloroxime compounds affects the energy level of the highest occupied molecular orbital and consequently, the progress of the reaction. Finally, it provided an effective idea for this kind of reaction in the design of organic synthesis and the necessary theoretical basis for revealing the course of this reaction. Abstract In this study, we performed density functional theory calculations using the B3LYP, M052X, M062X, and APFD functionals to investigate substituent effects on the mechanism of 1,3-dipolar cycloaddition, a classical and effective method for the synthesis of heterocyclic compounds. The results showed that changing the substituents on the chloroxime compounds affects the energy level of the highest occupied molecular orbital and consequently, the progress of the reaction. Finally, it provided an effective idea for this kind of reaction in the design of organic synthesis and the necessary theoretical basis for revealing the course of this reaction. Keywords:
    [Show full text]
  • Chapter 14 Chemical Kinetics
    Chapter 14 Chemical Kinetics Learning goals and key skills: Understand the factors that affect the rate of chemical reactions Determine the rate of reaction given time and concentration Relate the rate of formation of products and the rate of disappearance of reactants given the balanced chemical equation for the reaction. Understand the form and meaning of a rate law including the ideas of reaction order and rate constant. Determine the rate law and rate constant for a reaction from a series of experiments given the measured rates for various concentrations of reactants. Use the integrated form of a rate law to determine the concentration of a reactant at a given time. Explain how the activation energy affects a rate and be able to use the Arrhenius Equation. Predict a rate law for a reaction having multistep mechanism given the individual steps in the mechanism. Explain how a catalyst works. C (diamond) → C (graphite) DG°rxn = -2.84 kJ spontaneous! C (graphite) + O2 (g) → CO2 (g) DG°rxn = -394.4 kJ spontaneous! 1 Chemical kinetics is the study of how fast chemical reactions occur. Factors that affect rates of reactions: 1) physical state of the reactants. 2) concentration of the reactants. 3) temperature of the reaction. 4) presence or absence of a catalyst. 1) Physical State of the Reactants • The more readily the reactants collide, the more rapidly they react. – Homogeneous reactions are often faster. – Heterogeneous reactions that involve solids are faster if the surface area is increased; i.e., a fine powder reacts faster than a pellet. 2) Concentration • Increasing reactant concentration generally increases reaction rate since there are more molecules/vol., more collisions occur.
    [Show full text]
  • UNIT – I Nomenclature of Organic Compounds and Reaction Intermediates
    UNIT – I Nomenclature of organic Compounds and Reaction Intermediates Two Marks 1. Give IUPAC name for the compounds. 2. Write the stability of Carbocations. 3. What are Carbenes? 4. How Carbanions reacts? Give examples 5. Write the reactions of free radicals 6. How singlet and triplet carbenes react? 7. How arynes are formed? 8. What are Nitrenium ion? 9. Give the structure of carbenes and Nitrenes 10. Write the structure of carbocations and carbanions. 11. Give the generation of carbenes and nitrenes. 12. What are non-classical carbocations? 13. How free radicals are formed and give its generation? 14. What is [1,2] shift? Five Marks 1. Explain the generation, Stability, Structure and reactivity of Nitrenes 2. Explain the generation, Stability, Structure and reactivity of Free Radicals 3. Write a short note on Non-Classical Carbocations. 4. Explain Fries rearrangement with mechanism. 5. Explain the reaction and mechanism of Sommelet-Hauser rearrangement. 6. Explain Favorskii rearrangement with mechanism. 7. Explain the mechanism of Hofmann rearrangement. Ten Marks 1. Explain brefly about generation, Stability, Structure and reactivity of Carbocations 2. Explain the generation, Stability, Structure and reactivity of Carbenes in detailed 3. Explain the generation, Stability, Structure and reactivity of Carboanions. 4. Explain brefly the mechanism and reaction of [1,2] shift. 5. Explain the mechanism of the following rearrangements i) Wolf rearrangement ii) Stevens rearrangement iii) Benzidine rearragement 6. Explain the reaction and mechanism of Dienone-Phenol reaarangement in detailed 7. Explain the reaction and mechanism of Baeyer-Villiger rearrangement in detailed Compounds classified as heterocyclic probably constitute the largest and most varied family of organic compounds.
    [Show full text]
  • CHEMICAL KINETICS Pt 2 Reaction Mechanisms Reaction Mechanism
    Reaction Mechanism (continued) CHEMICAL The reaction KINETICS 2 C H O +→5O + 6CO 4H O Pt 2 3 4 3 2 2 2 • has many steps in the reaction mechanism. Objectives ! Be able to describe the collision and Reaction Mechanisms transition-state theories • Even though a balanced chemical equation ! Be able to use the Arrhenius theory to may give the ultimate result of a reaction, determine the activation energy for a reaction and to predict rate constants what actually happens in the reaction may take place in several steps. ! Be able to relate the molecularity of the reaction and the reaction rate and • This “pathway” the reaction takes is referred to describle the concept of the “rate- as the reaction mechanism. determining” step • The individual steps in the larger overall reaction are referred to as elementary ! Be able to describe the role of a catalyst and homogeneous, heterogeneous and reactions. enzyme catalysis Reaction Mechanisms Often Used Terms •Intermediate: formed in one step and used up in a subsequent step and so is never seen as a product. The series of steps by which a chemical reaction occurs. •Molecularity: the number of species that must collide to produce the reaction indicated by that A chemical equation does not tell us how step. reactants become products - it is a summary of the overall process. •Elementary Step: A reaction whose rate law can be written from its molecularity. •uni, bi and termolecular 1 Elementary Reactions Elementary Reactions • Consider the reaction of nitrogen dioxide with • Each step is a singular molecular event carbon monoxide.
    [Show full text]
  • Chemical Kinetics Reaction Mechanisms
    Chemical Kinetics π Kinetics is a study of the rate at which a chemical reaction occurs. π The study of kinetics may be done in steps: Determination of reaction mechanism Prediction of rate law Measurement of reaction rates Comparison of predicted and measured rates Reaction Mechanisms π Up to now, we have written chemical reactions as “net” reactions—a balanced chemical equation that shows the initial reactants and final products. π A “reaction mechanism” shows the “elementary” reactions that must occur to produce the net reaction. π An “elementary” reaction is a chemical reaction that actually takes place. 1 Reaction Mechanisms π Every September since the early 80s, an “ozone hole” has developed over Antarctica which lasts until mid-November. O3 concentration-Dobson units Reaction Mechanisms Average Ozone C oncentrati ons for October over H al l ey's B ay 350 300 250 200 150 100 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 Year 2 Reaction Mechanisms π The net reaction for this process is: → 2 O3(g) 3 O2(g) π If this reaction were an elementary reaction, then two ozone molecules would need to collide with each other in such a way to form a new O-O bond while breaking two other O-O bonds to form products: O O O → 3 O2 O O O Reaction Mechanisms π It is hard to imagine this process happening based on our current understanding of chemical principles. π The net reaction must proceed via some other set of elementary reactions: 3 Reaction Mechanisms π One possibility is: → Cl + O3 ClO + O2 ClO + ClO → ClOOCl ClOOCl → Cl + ClOO → ClOO Cl + O2 → Cl + O3 ClO + O2 → net: 2 O3 3 O2 Reaction Mechanisms π In this mechanism, each elementary reaction makes sense chemically: Cl O O → Cl-O + O-O O π The chlorine atom abstracts an oxygen atom from ozone leaving ClO and molecular oxygen.
    [Show full text]
  • PDF (Chapter 5
    ~---=---5 __ Heterogeneous Catalysis 5.1 I Introduction Catalysis is a term coined by Baron J. J. Berzelius in 1835 to describe the property of substances that facilitate chemical reactions without being consumed in them. A broad definition of catalysis also allows for materials that slow the rate of a reac­ tion. Whereas catalysts can greatly affect the rate of a reaction, the equilibrium com­ position of reactants and products is still determined solely by thermodynamics. Heterogeneous catalysts are distinguished from homogeneous catalysts by the dif­ ferent phases present during reaction. Homogeneous catalysts are present in the same phase as reactants and products, usually liquid, while heterogeneous catalysts are present in a different phase, usually solid. The main advantage of using a hetero­ geneous catalyst is the relative ease of catalyst separation from the product stream that aids in the creation of continuous chemical processes. Additionally, heteroge­ neous catalysts are typically more tolerant ofextreme operating conditions than their homogeneous analogues. A heterogeneous catalytic reaction involves adsorption of reactants from a fluid phase onto a solid surface, surface reaction of adsorbed species, and desorption of products into the fluid phase. Clearly, the presence of a catalyst provides an alter­ native sequence of elementary steps to accomplish the desired chemical reaction from that in its absence. If the energy barriers of the catalytic path are much lower than the barrier(s) of the noncatalytic path, significant enhancements in the reaction rate can be realized by use of a catalyst. This concept has already been introduced in the previous chapter with regard to the CI catalyzed decomposition of ozone (Figure 4.1.2) and enzyme-catalyzed conversion of substrate (Figure 4.2.4).
    [Show full text]
  • CHEM 251 (4 Credits): Intermediate Reactions of Nucleophiles and Electrophiles (Reactivity 2) Description: an Understanding Of
    CHEM 251 (4 credits): Intermediate Reactions of Nucleophiles and Electrophiles (Reactivity 2) Description: An understanding of chemical reactivity, initiated in Reactivity 1, is further developed based on principles of Lewis acidity and basicity. A basic understanding of chemical kinetics is developed as a common theme through much of the course. Alternative mechanisms of ligand substitution in coordination complexes are considered in terms of steric and electronic effects. An understanding of kinetic evidence is developed in order to determine which mechanism has occurred in a particular case. Organic nucleophilic substitution pathways are studied using analogous principles. Electrophilic addition and substitution in pi systems (alkenes and aromatics) are used to extend these principles to new systems and complete an overview of polar reactions. In addition, treatment of chemical kinetics is extended to include studies of catalysts and enzymes. Applications of the material are drawn from organic, biological and inorganic chemistry. Prerequisite: CHEM 250. Course Goals and Objectives: I. Students will become familiar with the use of kinetics in interpreting reaction mechanism. They will be able to 1. explain the role of collisions in reactions. a. Students will explain why collisions are necessary in reactions. b. Students will explain how concentration affects collisions. c. Students will explain how temperature affects collisions. d. Students will explain the role of entropy in collisions. 2. explain reaction progress diagrams. a. Students will demonstrate the relationships between elementary steps and the shape of a reaction progress diagram. b. Students will demonstrate the relationship between rate determining step and reaction barriers. c. Students will demonstrate the relationship between equilibrium and the shape of a reaction progress diagram.
    [Show full text]
  • Elementary Reactions Reactions Are Not Usually Single Step: Reactants −−> Intermediates −−> Products
    Lecture 33 Chapter 19 Kinetics: Transition State Theory Announce: • Outline: Transition State Theory Review Reversible Reactions ln([A] ! [A]eq )= !(k1 + k!1 )t + ln([A]0 ! [A]eq ) so plotting ln(A-Aeq) vs. t gives a line with the slope that is the sum of the rates. But, we also know that at equilibrium k1[A]eq = k -1[Z]eq k1 [Z]eq so = = Keq k!1 [A]eq (Detailed Balance!) Therefore, we can find both the sum and ratio of the rates and know both of them. Temperature dependence of rates E " a k = Ae RT (Arrhenius 1889) transition state ‡ ! E E Reactants a !U Rxn Products Rxn coordinate 1 Can we use theory to figure out what A and k should be for some reaction? Well, kinetics is still a pretty young science and is therefore heavily based in experiment. Theories of reaction dynamics are a pretty big challenge and have been a focus of the Nobel committee fairly recently: Recent Chemistry Nobel Prizes in Kinetics/Dynamics/Catalysis 2001 – Catalysis 1999 – Reaction dynamics 1995 – Ozone kinetics Thus, kinetics is recognized as a difficult but important problem. Next time we’ll dive into a simple kinetics theory that is reasonably successful, called Transition State Theory. Transition state theory There are a number of theories for reaction kinetics. One of the more successful simple theories is transition state theory. In it, we assume that the transition state lives long enough to be in equilibrium with the reactants. (For the reaction: A + B Products) Define the equilibrium between ‡ and reactants (A and B) [‡] 0 0 ‡ c [‡]c K = = [A] [B] [A][B] or c0 c 0 K ‡[A][B] [‡] = c 0 Also define a frequency with which transition states cross over barrier to products (this is just a first order rxn of transition state to products.
    [Show full text]
  • Chemical Kinetics Study of the TIME Vs RATE of Chemical Change CHEMICAL KINETICS DEALS WITH
    Chemical Kinetics Study of the TIME vs RATE of Chemical Change CHEMICAL KINETICS DEALS WITH 1. How FAST {Speed like miles per hour} and 2. By what MECHANISM does a reaction happen? Part I How Fast (RATE) Does a Chemical Reaction “Go” ? What does the speed (RATE) depend upon? REACTION RATES • The change in the concentration of a reactant or product with time (M/s) for A → B ∆[A] ∆[B] Rate = − Rate = ∆t ∆t Rate disappearance = Rate of formation AFFECTS THE RATE 2A → B A disappears at twice the rate B forms Rate = - ½ ∆[A] = ∆[B] Rate disappearance ≠ Rate of formation For 2 N2O5 4 NO 2 + O 2 -7 If rate of decomposition of N 2O5 = 4.2 x 10 M/s What is the rate of APPEARANCE of (a) NO 2 ? Twice rate of decomposition = ________ M/s (b) O 2 ? ½ the rate of decomposition = _________ M/s How is the rate of the disappearance of the reactants related to the appearance of the products for CH 4(g) + 2O 2(g) →→→ CO 2(g) + 2H 2O( g) 1 ∆[CH ] 1 ∆[O ] 1 ∆[CO ] 1 ∆[H ] rate = − 4 = − 2 = 2 = 2 1 ∆t 2 ∆t 1 ∆t 2 ∆t Consider the reaction 3A --> 2B The average rate of appearance of B is given by [B]/ t. How is the average rate of appearance of B related to the average rate of disappear- ance of A? (a) -2[A]/3 t (b) 2[A]/3 t (c) -3[A]/2 t (d) [A]/ t (e) -[A]/ t Answer on Text Book’s Web Site 1.
    [Show full text]
  • Neural Networks for the Prediction of Organic Chemistry Reactions
    Neural networks for the prediction of organic chemistry reactions Jennifer N. Wei,† David Duvenaud,‡ and Alán Aspuru-Guzik∗,† Department of Chemistry and Chemical Biology, Harvard University, Cambridge MA 02138, USA, and Department of Computer Science, Harvard University, Cambridge MA 02138, USA E-mail: [email protected] Abstract Reaction prediction remains one of the major challenges for organic chemistry, and is a prerequisite for efficient synthetic planning. It is desirable to develop algorithms that, like humans, "learn" from being exposed to examples of the application of the rules of organic chemistry. We explore the use of neural networks for predicting reaction types, using a new reaction fingerprinting method. We combine this predictor with SMARTS transformations to build a system which, given a set of reagents and reactants, predicts the likely products. We test this method on problems from a popular organic chemistry textbook. Introduction arXiv:1608.06296v2 [physics.chem-ph] 17 Oct 2016 To develop the intuition and understanding for predicting reactions, a human must take many semesters of organic chemistry and gather insight over several years of lab experience. Over the past 40 years, various algorithms have been developed to assist with synthetic design, reaction ∗To whom correspondence should be addressed †Department of Chemistry and Chemical Biology, Harvard University, Cambridge MA 02138, USA ‡Department of Computer Science, Harvard University, Cambridge MA 02138, USA 1 prediction, and starting material selection.1,2 LHASA was the first of these algorithms to aid in developing retrosynthetic pathways.3 This algorithm required over a decade of effort to encode the necessary subroutines to account for the various subtleties of retrosynthesis such as functional group identification, polycyclic group handling, relative protecting group reactivity, and functional group based transforms.4–7 In the late 1980s to the early 1990s, new algorithms for synthetic design and reaction predic- tion were developed.
    [Show full text]
  • Rate of Reaction Details of Process from Reactants to Products - Mechanism
    Chemical Kinetics Study of how rapidly reactions proceed - rate of reaction Details of process from reactants to products - mechanism Thermodynamics determines the direction in which reactions proceed spontaneously and equilibrium conditions, but not the rate at which equilibrium is reached. For a complete picture of a chemical reaction need information on both the thermodynamics and kinetics of a reaction. ⇔ ∆ o N2(g) + 3H2(g) 2NH3(g) G = -33.0 kJ 5 K298 = 6.0 x 10 Thermodynamically favored at 298 K However, rate is slow at 298K Commercial production of NH3 is carried out at temperatures of 800 to 900 K, because the rate is faster even though K is smaller. Thermodynamical functions are state functions (∆G, ∆H, ∆E) Thermodynamics does not depend on the mechanism of the reaction. The rate of the reaction is very dependent on the path of the process or path between reactants and products. Kinetics reveals information on the mechanism of the reaction. Thermodynamics vs Kinetics A + B --> C + D K1 A + B --> E + F K2 If K1 > K2 =>products C & D are thermodynamically favored over E & F. What about the rates of the two reactions? If products observed are C & D => reaction is thermodynamically controlled If products observed are E & F => reaction is kinetically controlled (1) 2NO(g) + O2(g) -> 2NO2(g) (2) 2CO(g) + O2(g) -> 2CO2(g) Both have large values of K Reaction (1) is fast; reaction (2) slow Reactions are kinetically controlled Rates of Reactions 0.12 0.1 0.08 0.06 0.04 0.02 0 0 20 40 60 80 100 120 140 160 time (min) A -> P Rate of a reaction: change in concentration per unit time change in concentration average reaction rate = change in time If concentration is in mol L-1, and time in seconds, the rate has units of mol L-1 s-1.
    [Show full text]
  • Sample Exercise 14.1 Calculating an Average Rate of Reaction
    Sample Exercise 14.1 Calculating an Average Rate of Reaction From the data in Figure 14.3, calculate the average rate at which A disappears over the time interval from 20 s to 40 s. Solution Analyze We are given the concentration of A at 20 s (0.54 M) and at 40 s (0.30 M) and asked to calculate the average rate of reaction over this time interval. Plan The average rate is given by the change in concentration, [A], divided by the change in time, t. Because A is a reactant, a minus sign is used in the calculation to make the rate a positive quantity. Solve Practice Exercise Use the data in Figure 14.3 to calculate the average rate of appearance of B over the time interval from 0 s to 40 s. Answer: 1.8 102 M/s Chemistry, The Central Science, 12th Edition © 2012 Pearson Education, Inc. Theodore L. Brown; H. Eugene LeMay, Jr.; Bruce E. Bursten; Catherine J. Murphy; and Patrick Woodward Sample Exercise 14.2 Calculating an Instantaneous Rate of Reaction Using Figure 14.4, calculate the instantaneous rate of disappearance of C4H9Cl at t = 0 s (the initial rate). Solution Analyze We are asked to determine an instantaneous rate from a graph of reactant concentration versus time. Plan To obtain the instantaneous rate at t = 0s, we must determine the slope of the curve at t = 0. The tangent is drawn on the graph as the hypotenuse of the tan triangle. The slope of this straight line equals the change in the vertical axis divided by the corresponding change in the horizontal axis (that is, change in molarity over change in time).
    [Show full text]