Chemical Kinetics Close-up of a crashing wave. Source: Getty Images Copyright © Houghton Mifflin Company. All rights reserved. 15a–2 Copyright © Houghton Mifflin Company. All rights reserved. 15a–3 Copyright © Houghton Mifflin Company. All rights reserved. 15a–4 Figure 15.1: Starting with pure nitrogen dioxide at 300°C Copyright © Houghton Mifflin Company. All rights reserved. 15a–5 Rate Law instantaneous rate of reaction. the concentration of phenolphthalein in a solution that was initially 0.005 M in phenolphthalein and 0.61 M in OH- ion. Rate = k(phenolphthalein) Copyright © Houghton Mifflin Company. All rights reserved. 15a–6 Examples of Rate Law 2 HI(g) H2(g) + I2(g) CH3Br(aq) + OH-(aq) CH3OH(aq) + Br-(aq) Rate = k(CH3Br)(OH-) (CH3)3CBr(aq) + OH-(aq) But (CH3)3COH(aq) + BrRate = k((CH3)3CBr) Rate law is not related to stochiometry! Copyright © Houghton Mifflin Company. All rights reserved. 15a–7 Decomposition of N2O5 Copyright © Houghton Mifflin Company. All rights reserved. 15a–8 Copyright © Houghton Mifflin Company. All rights reserved. 15a–9 Figure 15.2: Plot of the concentration of N2O5 Rate = k(N2O5) Copyright © Houghton Mifflin Company. All rights reserved. 15a–10 Figure 15.3: A plot of In[N205] versus time. Copyright © Houghton Mifflin Company. All rights reserved. 15a–11 Figure 15.4: Plot of [N2O5] versus time for the decomposition reaction of N2O5. Copyright © Houghton Mifflin Company. All rights reserved. 15a–12 Rate = k(X) We then test this assumption by checking concentration versus time data for the reaction to see whether they fit the first-order rate law. ln (X) - ln (X)0 = - kt y = mx + b ln (X) = -kt + ln (X)0 Copyright © Houghton Mifflin Company. All rights reserved. 15a–13 2nd Order Reaction Rate = k(X)2 Copyright © Houghton Mifflin Company. All rights reserved. 15a–14 Copyright © Houghton Mifflin Company. All rights reserved. 15a–15 Copyright © Houghton Mifflin Company. All rights reserved. 15a–16 Solution containing BrO3- Copyright © Houghton Mifflin Company. All rights reserved. 15a–17 Butadiene and its dimer Copyright © Houghton Mifflin Company. All rights reserved. 15a–18 Figure 15.5: (a) A plot of ln[C4H6] versus t. (b) A plot of 1/[C4H6] versus t. Copyright © Houghton Mifflin Company. All rights reserved. 15a–19 Figure 15.6: Plot of [A] versus t for a zero-order reaction Copyright © Houghton Mifflin Company. All rights reserved. 15a–20 Figure 15.7: Decomposition reaction takes place on a platinum surface Copyright © Houghton Mifflin Company. All rights reserved. 15a–21 Copyright © Houghton Mifflin Company. All rights reserved. 15a–22 Figure 15.8: Molecular representation of the elementary steps in the reaction of NO2 and CO. Copyright © Houghton Mifflin Company. All rights reserved. 15a–23 Copyright © Houghton Mifflin Company. All rights reserved. 15a–24 Single Step Reaction CH3Br(aq) + OH-(aq) CH3OH(aq) + Br-(aq) Rate = k(CH3Br)(OH-) Copyright © Houghton Mifflin Company. All rights reserved. 15a–25 Multiple Step Reaction (CH3)3CBr(aq) + OH-(aq) (CH3)3COH(aq) + Br-(aq) (CH3)3CBr (CH3)3C+ + Br- Slow step (CH3)3C+ + H2O (CH3)3COH2+ Fast step (CH3)3COH2+ + OH- (CH3)3COH + H2O Fast step Copyright © Houghton Mifflin Company. All rights reserved. 15a–26 General Rules for Rate Law •The rate of any step in a reaction is directly proportional to the concentrations of the reagents consumed in that step. •The overall rate law for a reaction is determined by the sequence of steps, or the mechanism, by which the reactants are converted into the products of the reaction. •The overall rate law for a reaction is dominated by the rate law for the slowest step in the reaction. Copyright © Houghton Mifflin Company. All rights reserved. 15a–27 The rate a which this colored solution enters the flask is determined by the size of the funnel stem, not how fast the solution is poured. Source: American Color Copyright © Houghton Mifflin Company. All rights reserved. 15a–28 Slow and Fast reactions shown as molecular models Copyright © Houghton Mifflin Company. All rights reserved. 15a–29 Figure 15.10: A plot showing the exponential dependence of the rate constant on the absolute temperature Copyright © Houghton Mifflin Company. All rights reserved. 15a–30 Figure 15.11: The change in potential energy as a function of reaction progress for the reaction Copyright © Houghton Mifflin Company. All rights reserved. 15a–31 Figure 15.12: Plot showing the number of collisions with a particular energy Copyright © Houghton Mifflin Company. All rights reserved. 15a–32 Figure 15.13: Several possible orientations for a collision between two BrNO molecules. Copyright © Houghton Mifflin Company. All rights reserved. 15a–33 Figure 15.14: Plot of In(k) versus 1/T for the reaction Copyright © Houghton Mifflin Company. All rights reserved. 15a–34 Figure 15.15: Energy plots for catalyzed and uncatalyzed pathways for a given reaction Copyright © Houghton Mifflin Company. All rights reserved. 15a–35 Homogeneous Catalysis H2O2(aq) + I-(aq) H2O(aq) + OI-(aq) In the second step, the OI- ion is reduced to I- by H2O2. OI-(aq) + H2O2(aq) H2O(aq) + O2(g) + I-(aq ) the first step in this reaction is the rate-limiting step, Copyright © Houghton Mifflin Company. All rights reserved. 15a–36 Figure 15.16: Effect of a catalyst on the number of reaction-producing collisions. Copyright © Houghton Mifflin Company. All rights reserved. 15a–37 Figure 15.17: Heterogeneous catalysis of the hydrogenation of ethylene. Copyright © Houghton Mifflin Company. All rights reserved. 15a–38 Figure 15.18: The exhaust gases from an automobile engine are passed through a catalytic converter to minimize environmental damage. Copyright © Houghton Mifflin Company. All rights reserved. 15a–39 General structure of protein Copyright © Houghton Mifflin Company. All rights reserved. 15a–40 Figure 15.19: Removal of the end amino acid from a protein by reaction with a molecule of water. Copyright © Houghton Mifflin Company. All rights reserved. 15a–41 Figure 15.20: Structure of the enzyme carboxypeptidase-A, which contains 307 amino acids. Copyright © Houghton Mifflin Company. All rights reserved. 15a–42 Figure 15.21: Protein-substrate interaction Copyright © Houghton Mifflin Company. All rights reserved. 15a–43 Cutaway model of a catalytic converter used in automotive exhaust systems. Source: Delphi Automotive Systems Copyright © Houghton Mifflin Company. All rights reserved. 15a–44 Collect samples of extremophiles from Copyright © Houghton Mifflin Company. All rights reserved. 15a–45 A micrograph of the extremophile Archaeoglobus fulgidis, and organis that lives in the hot sediments near submarine hydrothermal vents. Source: Photo Researchers, Inc. Copyright © Houghton Mifflin Company. All rights reserved. 15a–46 Reaction coordinate Copyright © Houghton Mifflin Company. All rights reserved. 15a–47 Reaction coordinate Copyright © Houghton Mifflin Company. All rights reserved. 15a–48 Rate Copyright © Houghton Mifflin Company. All rights reserved. 15a–49 Concentration of reactant Copyright © Houghton Mifflin Company. All rights reserved. 15a–50 Time (s); Time (s); Time (s) Copyright © Houghton Mifflin Company. All rights reserved. 15a–51 Laser spectroscopy Source: California Institute of Technology Copyright © Houghton Mifflin Company. All rights reserved. 15a–52 Figure 15.9: The STM images of the reaction of CO and O2 Source: University of California, Irvine Copyright © Houghton Mifflin Company. All rights reserved. 15a–53