Sample Exercise 14.1 Calculating an Average Rate of Reaction
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Chapter 12 Lecture Notes
Chemical Kinetics “The study of speeds of reactions and the nanoscale pathways or rearrangements by which atoms and molecules are transformed to products” Chapter 13: Chemical Kinetics: Rates of Reactions © 2008 Brooks/Cole 1 © 2008 Brooks/Cole 2 Reaction Rate Reaction Rate Combustion of Fe(s) powder: © 2008 Brooks/Cole 3 © 2008 Brooks/Cole 4 Reaction Rate Reaction Rate + Change in [reactant] or [product] per unit time. Average rate of the Cv reaction can be calculated: Time, t [Cv+] Average rate + Cresol violet (Cv ; a dye) decomposes in NaOH(aq): (s) (mol / L) (mol L-1 s-1) 0.0 5.000 x 10-5 13.2 x 10-7 10.0 3.680 x 10-5 9.70 x 10-7 20.0 2.710 x 10-5 7.20 x 10-7 30.0 1.990 x 10-5 5.30 x 10-7 40.0 1.460 x 10-5 3.82 x 10-7 + - 50.0 1.078 x 10-5 Cv (aq) + OH (aq) → CvOH(aq) 2.85 x 10-7 60.0 0.793 x 10-5 -7 + + -5 1.82 x 10 change in concentration of Cv Δ [Cv ] 80.0 0.429 x 10 rate = = 0.99 x 10-7 elapsed time Δt 100.0 0.232 x 10-5 © 2008 Brooks/Cole 5 © 2008 Brooks/Cole 6 1 Reaction Rates and Stoichiometry Reaction Rates and Stoichiometry Cv+(aq) + OH-(aq) → CvOH(aq) For any general reaction: a A + b B c C + d D Stoichiometry: The overall rate of reaction is: Loss of 1 Cv+ → Gain of 1 CvOH Rate of Cv+ loss = Rate of CvOH gain 1 Δ[A] 1 Δ[B] 1 Δ[C] 1 Δ[D] Rate = − = − = + = + Another example: a Δt b Δt c Δt d Δt 2 N2O5(g) 4 NO2(g) + O2(g) Reactants decrease with time. -
Andrea Deoudes, Kinetics: a Clock Reaction
A Kinetics Experiment The Rate of a Chemical Reaction: A Clock Reaction Andrea Deoudes February 2, 2010 Introduction: The rates of chemical reactions and the ability to control those rates are crucial aspects of life. Chemical kinetics is the study of the rates at which chemical reactions occur, the factors that affect the speed of reactions, and the mechanisms by which reactions proceed. The reaction rate depends on the reactants, the concentrations of the reactants, the temperature at which the reaction takes place, and any catalysts or inhibitors that affect the reaction. If a chemical reaction has a fast rate, a large portion of the molecules react to form products in a given time period. If a chemical reaction has a slow rate, a small portion of molecules react to form products in a given time period. This experiment studied the kinetics of a reaction between an iodide ion (I-1) and a -2 -1 -2 -2 peroxydisulfate ion (S2O8 ) in the first reaction: 2I + S2O8 I2 + 2SO4 . This is a relatively slow reaction. The reaction rate is dependent on the concentrations of the reactants, following -1 m -2 n the rate law: Rate = k[I ] [S2O8 ] . In order to study the kinetics of this reaction, or any reaction, there must be an experimental way to measure the concentration of at least one of the reactants or products as a function of time. -2 -2 -1 This was done in this experiment using a second reaction, 2S2O3 + I2 S4O6 + 2I , which occurred simultaneously with the reaction under investigation. Adding starch to the mixture -2 allowed the S2O3 of the second reaction to act as a built in “clock;” the mixture turned blue -2 -2 when all of the S2O3 had been consumed. -
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: -
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. -
Reaction Kinetics in Organic Reactions
Autumn 2004 Reaction Kinetics in Organic Reactions Why are kinetic analyses important? • Consider two classic examples in asymmetric catalysis: geraniol epoxidation 5-10% Ti(O-i-C3H7)4 O DET OH * * OH + TBHP CH2Cl2 3A mol sieve OH COOH5C2 L-(+)-DET = OH COOH5C2 * OH geraniol hydrogenation OH 0.1% Ru(II)-BINAP + H2 CH3OH P(C6H5)2 (S)-BINAP = P(C6 H5)2 • In both cases, high enantioselectivities may be achieved. However, there are fundamental differences between these two reactions which kinetics can inform us about. 1 Autumn 2004 Kinetics of Asymmetric Catalytic Reactions geraniol epoxidation: • enantioselectivity is controlled primarily by the preferred mode of initial binding of the prochiral substrate and, therefore, the relative stability of intermediate species. The transition state resembles the intermediate species. Finn and Sharpless in Asymmetric Synthesis, Morrison, J.D., ed., Academic Press: New York, 1986, v. 5, p. 247. geraniol hydrogenation: • enantioselectivity may be dictated by the relative reactivity rather than the stability of the intermediate species. The transition state may not resemble the intermediate species. for example, hydrogenation of enamides using Rh+(dipamp) studied by Landis and Halpern (JACS, 1987, 109,1746) 2 Autumn 2004 Kinetics of Asymmetric Catalytic Reactions “Asymmetric catalysis is four-dimensional chemistry. Simple stereochemical scrutiny of the substrate or reagent is not enough. The high efficiency that these reactions provide can only be achieved through a combination of both an ideal three-dimensional structure (x,y,z) and suitable kinetics (t).” R. Noyori, Asymmetric Catalysis in Organic Synthesis,Wiley-Interscience: New York, 1994, p.3. “Studying the photograph of a racehorse cannot tell you how fast it can run.” J. -
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. -
5.3 Controlling Chemical Reactions Vocabulary: Activation Energy
5.3 Controlling Chemical Reactions Vocabulary: Activation energy – Concentration – Catalyst – Enzyme – Inhibitor - How do reactions get started? Chemical reactions won’t begin until the reactants have enough energy. The energy is used to break the chemical bonds of the reactants. Then the atoms form the new bonds of the products. Activation Energy is the minimum amount of energy needed to start a chemical reaction. All chemical reactions need a certain amount of activation energy to get started. Usually, once a few molecules react, the rest will quickly follow. The first few reactions provide the activation energy for more molecules to react. Hydrogen and oxygen can react to form water. However, if you just mix the two gases together, nothing happens. For the reaction to start, activation energy must be added. An electric spark or adding heat can provide that energy. A few of the hydrogen and oxygen molecules will react, producing energy for even more molecules to react. Graphing Changes in Energy Every chemical reaction needs activation energy to start. Whether or not a reaction still needs more energy from the environment to keep going depends on whether it is exothermic or endothermic. The peaks on the graphs show the activation energy. Notice that at the end of the exothermic reaction, the products have less energy than the reactants. This type of reaction results in a release of energy. The burning of fuels, such as wood, natural gas, or oil, is an example of an exothermic reaction. Endothermic reactions also need activation energy to get started. In addition, they need energy to continue. -
(A) Reaction Rates (I) Following the Course of a Reaction Reactions Can Be Followed by Measuring Changes in Concentration, Mass and Volume of Reactants Or Products
(a) Reaction rates (i) Following the course of a reaction Reactions can be followed by measuring changes in concentration, mass and volume of reactants or products. g Measuring a change in mass Measuring a change in volume Volume of gas produced of gas Volume Mass of beaker and contents of beaker Mass Time Time The rate is highest at the start of the reaction because the concentration of reactants is highest at this point. The steepness (gradient) of the plotted line indicates the rate of the reaction. We can also measure changes in product concentration using a pH meter for reactions involving acids or alkalis, or by taking small samples and analysing them by titration or spectrophotometry. Concentration reactant Time Calculating the average rate The average rate of a reaction, or stage in a reaction, can be calculated from initial and final quantities and the time interval. change in measured factor Average rate = change in time Units of rate The unit of rate is simply the unit in which the quantity of substance is measured divided by the unit of time used. Using the accepted notation, ‘divided by’ is represented by unit-1. For example, a change in volume measured in cm3 over a time measured in minutes would give a rate with the units cm3min-1. 0.05-0.00 Rate = 50-0 1 - 0.05 = 50 = 0.001moll-1s-1 Concentration moll Concentration 0.075-0.05 Rate = 100-50 0.025 = 50 = 0.0005moll-1s-1 The rate of a reaction, or stage in a reaction, is proportional to the reciprocal of the time taken. -
Determination of Kinetics in Gas-Liquid Reaction Systems
DOI: 10.2478/v10216-011-0014-y ECOL CHEM ENG S. 2012; 19(2):175-196 Hanna KIERZKOWSKA-PAWLAK 1* DETERMINATION OF KINETICS IN GAS-LIQUID REACTION SYSTEMS. AN OVERVIEW PRZEGL ĄD METOD WYZNACZANIA KINETYKI REAKCJI GAZ-CIECZ Abstract: The aim of this paper is to present a brief review of the determination methods of reaction kinetics in gas-liquid systems with a special emphasis on CO 2 absorption in aqueous alkanolamine solutions. Both homogenous and heterogeneous experimental techniques are described with the corresponding theoretical background needed for the interpretation of the results. The case of CO 2 reaction in aqueous solutions of methyldiethanolamine is discussed as an illustrative example. It was demonstrated that various measurement techniques and methods of analyzing the experimental data can result in different expressions for the kinetic rate constants. Keywords: gas-liquid reaction kinetics, stirred cell, stopped-flow technique, enhancement factor, CO 2 absorption, methyldiethanolamine Introduction Multiphase reaction systems are frequently encountered in chemical reaction engineering practice. Typical examples of industrially important processes where these systems are found include gas purification, oxidation, chlorination, hydrogenation and hydroformylation processes. Among them, the CO 2 removal by aqueous solutions of amines received considerable attention. Since CO 2 is regarded as a major greenhouse gas, potentially contributing to global warming, there has been substantial interest in developing amine-based technologies for capturing large quantities of CO 2 produced from fossil fuel power plants. Absorption of CO 2 by chemical solvents is the most popular and effective method which can be implemented in this sector. Industrially important alkanolamines for CO 2 removal are the primary amine monoethanolamine (MEA), the secondary amine diethanolamine (DEA) and diisopropanolamine (DIPA) and the tertiary amine methyldiethanolamine (MDEA) and triethanolamine (TEA) [1]. -
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. -
Differential and Integrated Rate Laws
Differential and Integrated Rate Laws Rate laws describe the progress of the reaction; they are mathematical expressions which describe the relationship between reactant rates and reactant concentrations. In general, if the reaction is: 푎퐴 + 푏퐵 → 푐퐶 + 푑퐷 We can write the following expression: 푟푎푡푒 = 푘[퐴]푚[퐵]푛 Where: 푘 is a proportionality constant called rate constant (its value is fixed for a fixed set of conditions, specially temperature). 푚 and 푛 are known as orders of reaction. As it can be seen from the above expression, these orders of reaction indicate the degree or extent to which the reaction rate depends on the concentration of each reactant. We can say the following about these orders of reaction: 1. In general, they are not equal to the coefficients from the balanced equation. Remember: they are determined experimentally (unless a reaction is what we call an elementary reaction, but they are the exception). 2. Each reactant has its own (independent) order of reaction. 3. Orders of reaction are often times a positive number, but they can also be zero, a fraction and in some instances a negative number. 4. The overall reaction order is calculated by simply adding the individual orders (푚 + 푛). As it turns out, rate laws can actually be written using two different, but related, perspectives. Which are these two perspectives? What information does each provide? Read along and you will find out. On more thing – I must insist: it is not possible to predict the rate law from the overall balanced chemical reaction; rate laws must be determined experimentally. -
Reaction Rates: Chemical Kinetics
Chemical Kinetics Reaction Rates: Reaction Rate: The change in the concentration of a reactant or a product with time (M/s). Reactant → Products A → B change in number of moles of B Average rate = change in time ∆()moles of B ∆[B] = = ∆t ∆t ∆[A] Since reactants go away with time: Rate=− ∆t 1 Consider the decomposition of N2O5 to give NO2 and O2: 2N2O5(g)→ 4NO2(g) + O2(g) reactants products decrease with increase with time time 2 From the graph looking at t = 300 to 400 s 0.0009M −61− Rate O2 ==× 9 10 Ms Why do they differ? 100s 0.0037M Rate NO ==× 3.7 10−51 Ms− Recall: 2 100s 0.0019M −51− 2N O (g)→ 4NO (g) + O (g) Rate N O ==× 1.9 10 Ms 2 5 2 2 25 100s To compare the rates one must account for the stoichiometry. 1 Rate O =×× 9 10−−61 Ms =× 9 10 −− 61 Ms 2 1 1 −51−−− 61 Rate NO2 =×× 3.7 10 Ms =× 9.2 10 Ms Now they 4 1 agree! Rate N O =×× 1.9 10−51 Ms−−− = 9.5 × 10 61Ms 25 2 Reaction Rate and Stoichiometry In general for the reaction: aA + bB → cC + dD 11∆∆∆∆[AB] [ ] 11[CD] [ ] Rate ====− − ab∆∆∆ttcdtt∆ 3 Rate Law & Reaction Order The reaction rate law expression relates the rate of a reaction to the concentrations of the reactants. Each concentration is expressed with an order (exponent). The rate constant converts the concentration expression into the correct units of rate (Ms−1). (It also has deeper significance, which will be discussed later) For the general reaction: aA+ bB → cC+ dD x and y are the reactant orders determined from experiment.