Introduction to Kinetics and Equilibrium
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Basic Design Data, of Column for Absorption Of
j833 Index – a acetyl radical 741 breakthrough curves for H2S adsorption on a absorption 108 acid aerosols 567 molecular sieve 132, 133 – activity and activity coefficients, in acid–base catalyzed reactions 11 – calculation of lads,ideal, HTZ, and LUB chloroform 111 acid catalyst 11 based on breakthrough curves 135 – basic design data, of column for absorption acidity 10 – capillary condensation of CO2 in water 116 acid-catalyzed reaction 652 –– and adsorption/desorption hysteresis 126 – Bunsen absorption coefficient 110 acid-soluble polymers 653 – competitive 128 – – fi chemical absorption of CO2 in N- acrolein 30, 476, 476, 479, 481, 483, 701 design of a xed-bed adsorption process 131 methyldiethanolamine 112, 113 acrylamide 28, 29, 487 – design of processes 130–135 – CO2 in water, and subsequent bicarbonate acrylic acid 140, 466, 467, 479, 481–483 – desorption 131 formation 110 acrylonitrile 462, 466, 467, 486–487 – dissociative 128 – design of columns 113–116 activation energy 24, 34, 201, 203, 215, 711 – equilibrium of a binary system on zeolite 128 – equilibria of chemical absorption 108 – apparent activation energy of diffusion – estimation of slope of breakthrough curve 132 – equilibria of physical absorption, processes 229, 230, 232 – height of mass transfer zone HTZ 132 comparison 109 – for chain transfer 807 – hysteresis loop during – fl – –– gas velocity and ooding of absorption correlation between activation energy and adsorption and desorption of N2 in a column 115 reaction enthalpy for a reversible cylindrical pore 127 – height -
Characteristics of Chemical Equilibrium
Characteristics of Chemical Equilibrium Chapter 14: Chemical Equilibrium © 2008 Brooks/Cole 1 © 2008 Brooks/Cole 2 Equilibrium is Dynamic Equilibrium is Independent of Direction of Approach Reactants convert to products N2(g) + 3 H2(g) 2 NH3(g) a A + b B c C + d D Species do not stop forming OR being destroyed Rate of formation = rate of removal Concentrations are constant. © 2008 Brooks/Cole 3 © 2008 Brooks/Cole 4 Equilibrium and Catalysts The Equilibrium Constant For the 2-butene isomerization: H3C CH3 H3C H C=C C=C H H H CH3 At equilibrium: rate forward = rate in reverse An elementary reaction, so: kforward[cis] = kreverse[trans] © 2008 Brooks/Cole 5 © 2008 Brooks/Cole 6 1 The Equilibrium Constant The Equilibrium Constant At equilibrium the concentrations become constant. We had: kforward[cis] = kreverse[trans] kforward [trans] or = kreverse [cis] kforward [trans] Kc = = = 1.65 (at 500 K) kreverse [cis] “c” for concentration based © 2008 Brooks/Cole 7 © 2008 Brooks/Cole 8 The Equilibrium Constant The Equilibrium Constant For a general reaction: a A + b B c C + d D [NO]2 N2(g) + O2(g) 2 NO(g) Kc = Products raised to [N2] [O2] stoichiometric powers… k [C]c [D]d forward …divided by reactants Kc = = a b kreverse [A] [B] raised to their stoichiometric [SO ] 1 2 powers 8 S8(s) + O2(g) SO2(g) Kc = [O2] © 2008 Brooks/Cole 9 © 2008 Brooks/Cole 10 Equilibria Involving Pure Liquids and Solids Equilibria in Dilute Solutions [Solid] is constant throughout a reaction. density g / L • pure solid concentration = mol. -
Laboratory 1: Chemical Equilibrium 1
1 Laboratory 1: Chemical Equilibrium 1 Reading: Olmstead and Williams, Chemistry , Chapter 14 (all sections) Purpose: The shift in equilibrium position of a chemical reaction with applied stress is determined. Introduction Chemical Equilibrium No chemical reaction goes to completion. When a reaction stops, some amount of reactants remain. For example, although we write → ← 2 CO 2 (g) 2 CO (g) + O 2 (g) (1) as though it goes entirely to products, at 2000K only 2% of the CO 2 decomposes. A chemical reaction reaches equilibrium when the concentrations of the reactants and products no longer change with time. The position of equilibrium describes the relative amounts of reactants and products that remain at the end of a chemical reaction. The position of equilibrium for reaction (1) is said to lie with the reactants, or to the left, because at equilibrium very little of the carbon dioxide has reacted. On the other hand, in the reaction → ← H2 (g) + ½ O2 (g) H2O (g) (2) the equilibrium position lies very far to the right since only very small amounts of H 2 and O 2 remain after the reaction reaches equilibrium. Since chemists often wish to maximize the yield of a reaction, it is vital to determine how to control the position of the equilibrium. The equilibrium position of a reaction may shift if an external stress is applied. The stress may be in the form of a change in temperature, pressure, or the concentration of one of the reactants or products. For example, consider a flask with an equilibrium mixture of CO 2, CO, and O 2, as in reaction (1). -
The Practice of Chemistry Education (Paper)
CHEMISTRY EDUCATION: THE PRACTICE OF CHEMISTRY EDUCATION RESEARCH AND PRACTICE (PAPER) 2004, Vol. 5, No. 1, pp. 69-87 Concept teaching and learning/ History and philosophy of science (HPS) Juan QUÍLEZ IES José Ballester, Departamento de Física y Química, Valencia (Spain) A HISTORICAL APPROACH TO THE DEVELOPMENT OF CHEMICAL EQUILIBRIUM THROUGH THE EVOLUTION OF THE AFFINITY CONCEPT: SOME EDUCATIONAL SUGGESTIONS Received 20 September 2003; revised 11 February 2004; in final form/accepted 20 February 2004 ABSTRACT: Three basic ideas should be considered when teaching and learning chemical equilibrium: incomplete reaction, reversibility and dynamics. In this study, we concentrate on how these three ideas have eventually defined the chemical equilibrium concept. To this end, we analyse the contexts of scientific inquiry that have allowed the growth of chemical equilibrium from the first ideas of chemical affinity. At the beginning of the 18th century, chemists began the construction of different affinity tables, based on the concept of elective affinities. Berthollet reworked this idea, considering that the amount of the substances involved in a reaction was a key factor accounting for the chemical forces. Guldberg and Waage attempted to measure those forces, formulating the first affinity mathematical equations. Finally, the first ideas providing a molecular interpretation of the macroscopic properties of equilibrium reactions were presented. The historical approach of the first key ideas may serve as a basis for an appropriate sequencing of -
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. -
A Brief Introduction to the History of Chemical Kinetics
Chapter 1 A Brief Introduction to the History of Chemical Kinetics Petr Ptáček, Tomáš Opravil and František Šoukal Additional information is available at the end of the chapter http://dx.doi.org/10.5772/intechopen.78704 Abstract This chapter begins with a general overview of the content of this work, which explains the structure and mutual relation between discussed topics. The following text provides brief historical background to chemical kinetics, lays the foundation of transition state theory (TST), and reaction thermodynamics from the early Wilhelmy quantitative study of acid-catalyzed conversion of sucrose, through the deduction of mathematical models to explain the rates of chemical reactions, to the transition state theory (absolute rate theory) developed by Eyring, Evans, and Polanyi. The concept of chemical kinetics and equilib- rium is then introduced and described in the historical context. Keywords: kinetics, chemical equilibrium, rate constant, activation energy, frequency factor, Arrhenius equation, Van’t Hoff-Le Châtelier’s principle, collision theory, transition state theory 1. Introduction Modern chemical (reaction) kinetics is a science describing and explaining the chemical reac- tion as we understand it in the present day [1]. It can be defined as the study of rate of chemical process or transformations of reactants into the products, which occurs according to the certain mechanism, i.e., the reaction mechanism [2]. The rate of chemical reaction is expressed as the change in concentration of some species in time [3]. It can also be pointed that chemical reactions are also the subject of study of many other chemical and physicochemical disciplines, such as analytical chemistry, chemical thermodynamics, technology, and so on [2]. -
Anal Chem 458.309A Week 5.Pdf
§ Verify this behavior algebraically using the reaction quotient, Q § In one particular equilibrium state of this system, à the following concentrations exist: § Suppose that the equilibrium is disturbed by adding dichromate to the 2- solution to increase the concentration of [Cr2O7 ] from 0.10 to 0.20 M. à In what direction will the reaction proceed to reach equilibrium? § Because Q > K à the reaction must go to the left to decrease the numerator and increase the denominator, until Q = K § If a reaction is at equilibrium and products are added (or reactants are removed), à the reaction goes to the left. § If a reaction is at equilibrium and reactants are added (or products are removed), à the reaction goes to the right § The effect of temperature on K: § The term eΔS°/R is independent of T à ΔS is constant at least over a limited temperature range § If ΔHo is positive, à The term e-ΔH°/RT increases with increasing temperature § If ΔHo is negative, à The term e-ΔH°/RT decreases with increasing temperature § The effect of temperature on K: § If the temperature is raised, à The equilibrium constant of an endothermic reaction (ΔHo>0) increases à The equilibrium constant of an exothermic reaction (Δho<0) decreases § If the temperature is raised, à an endothermic reaction is favored § If the temperature is raised, then heat is added to the system. à The reaction proceeds to partially offset this heat à an endothermic reaction à Le Châtelier’s principle Solubility product § The equilibrium constant for the reaction in which a solid salt dissolves to give its constituent ions in solution. -
Answer Key Chapter 16: Standard Review Worksheet – + 1
Answer Key Chapter 16: Standard Review Worksheet – + 1. H3PO4(aq) + H2O(l) H2PO4 (aq) + H3O (aq) + + NH4 (aq) + H2O(l) NH3(aq) + H3O (aq) 2. When we say that acetic acid is a weak acid, we can take either of two points of view. Usually we say that acetic acid is a weak acid because it doesn’t ionize very much when dissolved in water. We say that not very many acetic acid molecules dissociate. However, we can describe this situation from another point of view. We could say that the reason acetic acid doesn’t dissociate much when we dissolve it in water is because the acetate ion (the conjugate base of acetic acid) is extremely effective at holding onto protons and specifically is better at holding onto protons than water is in attracting them. + – HC2H3O2 + H2O H3O + C2H3O2 Now what would happen if we had a source of free acetate ions (for example, sodium acetate) and placed them into water? Since acetate ion is better at attracting protons than is water, the acetate ions would pull protons out of water molecules, leaving hydroxide ions. That is, – – C2H3O2 + H2O HC2H3O2 + OH Since an increase in hydroxide ion concentration would take place in the solution, the solution would be basic. Because acetic acid is a weak acid, the acetate ion is a base in aqueous solution. – – 3. Since HCl, HNO3, and HClO4 are all strong acids, we know that their anions (Cl , NO3 , – and ClO4 ) must be very weak bases and that solutions of the sodium salts of these anions would not be basic. -
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. -
Main Criteria: AP Chemistry Course Description Secondary Criteria: Jove Subject: Science Grade: 9-12 Correlation Options: Show Correlated Adopted: 2013
Main Criteria: AP Chemistry Course Description Secondary Criteria: JoVE Subject: Science Grade: 9-12 Correlation Options: Show Correlated Adopted: 2013 Outline Level 1 AP.C.1. Big Idea 1: The chemical elements are fundamental building materials of matter, and all matter can be understood in terms of arrangements of atoms. These atoms retain their identity in chemical reactions. Outline Level 2 EU.1.A. All matter is made of atoms. There are a limited number of types of atoms; these are the elements. Outline Level 3 EK.1.A.1. Molecules are composed of specific combinations of atoms; different molecules are composed of combinations of different elements and of combinations of the same elements in differing amounts and proportions. Outline Level 4 1.A.1.a. The average mass of any large number of atoms of a given element is always the same for a given element. JoVE • Freezing-Point Depression to Determine an Unknown Compound • Introduction to Mass Spectrometry • MALDI-TOF Mass Spectrometry • Tandem Mass Spectrometry Outline Level 4 1.A.1.b. A pure sample contains particles (or units) of one specific atom or molecule; a mixture contains particles (or units) of more than one specific atom or molecule. JoVE • Calibration Curves • Capillary Electrophoresis (CE) • Chromatography-Based Biomolecule Purification Methods • Column Chromatography • Conducting Reactions Below Room Temperature • Cyclic Voltammetry (CV) • Degassing Liquids with Freeze-Pump-Thaw Cycling • Density Gradient Ultracentrifugation • Determining the Density of a Solid and Liquid