AP Chemistry – Chapter 12 Review Packet Name______________________________ For questions 1 - 7, choose true or false. 1. The rate of a given reaction is constant at any specified temperature. False 2. A balanced equation does not indicate the mechanism by which a reaction is proceeding. True The rate constant is the rate of reaction at constant temperature. False 3. 4. In the reaction H2 + I2 2 HI, only two molecules (H2 and I2) react so this reaction is a bimolecular reaction. False 5. Relatively few reaction mechanisms have been completely characterized. True (Special ingenuity and techniques are needed to detect fast steps in a reaction mechanism.) The rate-determining step of a reaction is the step that proceeds fastest. False 6. 7. The half-life of a reaction is the time required for half of the original concentration of the limiting reagent to be consumed in the reaction. True 8. Factors that determine reaction rates include all of the following except: a. size of reactant particles b. magnitude of the equilibrium constant (Large values of k do not imply large rates.) c. reaction temperature d. concentration of reactants 9. For the reaction 2A + B C, the reaction rate is: a. R = k[A]2 [B] b. R = k[A] [B] c. R = k[A]2 d. possibly not any of the above (A valid reaction rate expression usually cannot be written from the overall reaction.) For a reaction of the type A + B 2C, it is found that doubling the amount of A causes the reaction rate to be four times as great but that doubling the amount of B has no apparent effect on the rate. The rate equation that is most correct is: a. R = k[A]2 (second order in A and zero order in B) b. R = k[A] [B] c. R = k[A] d. R = k[C]2 [A] [B] 10. 11. Which of the following is the rate equation for a termolecular elementary reaction? a. R = k [A] b. R = k [A]2 c. R = k [A] [B] d. R = k [A] [B] [C] (three component collision) 12. Catalysts are characterized by each of the following except that: a. they are not consumed in the overall reaction b. they can accelerate or retard a reaction Catalysts often undergo c. they are stable and unreactive reactions but are regenerated d. they cause a change in the energy of activation in a later step of the reaction. 13. In first-order reactions, a decrease in t½ causes k to: a. increase b. remain the same t½ = 0.693/k c. decrease d. can’t determine effect without more information Questions 14-16 A+B C The following are possible rate laws for the hypothetical reaction given above. a. Rate = k[A] b. Rate = k[A]2 c. Rate = k[A] [B] d. Rate = k[A]2 [B] e. Rate = k[A]2 [B]2 14. This is the rate law for a first-order reaction. a. 15. This is the rate law for a reaction that is second order with respect to B. 16. This is the rate law for a third order reaction. d. 17. A multi-step reaction takes place by the following mechanism. A+BC+D A+CD+E Which of the species shown above is an intermediate in the reaction? a. A b. B c. C d. D e. E 18. 2 NOCl 2 NO + Cl2 The reaction above takes place with all of the reactants and products in the gaseous phase. Which of the following is true of the relative rates of disappearance of the reactants and appearance of products? a. NO appears at twice the rate that NOCl disappears. 1Δ[NOCl] = 1Δ[NO] = Δ[Cl2]_ b. NO appears at the same rate that NOCl disappears. 2 Δt 2 Δt Δt c. NO appears at half the rate that NOCl disappears. d. Cl2 appears at the same rate that NOCl disappears. Δ[NOCl] = Δ[NO] = 2Δ[Cl2]__ e. Cl2 appears at twice the rate that NOCl disappears. Δt Δt Δt e. Questions 19-21 A+B C The following are possible rate laws for the hypothetical reaction given above. a. Rate = k[A] b. Rate = k[B]2 c. Rate = k[A] [B] d. Rate = k[A]2 [B] e. Rate = k[A]2 [B]2 19. When [A] and [B] are doubled, the initial rate of reaction will increase by a factor of eight. d = If A and B are 1, then Rate = k, if A and B are doubled, Rate = k(2)2(2) = 8k 20. When [A] and [B] are doubled, the initial rate of reaction will increase by a factor of two. a = If A and B are 1, then Rate = k, if A and B are doubled, Rate = k(2) = 2k When [A] is doubled and [B] is held constant, the initial rate of reaction will not change. b = independent of changes in A is Rate = k[B]2 21. 22. H2 (g) + I2 (g) 2 HI (g) When the reaction given above takes place in a sealed isothermal container, the rate law is: Rate = k[H2] [I2] If a mole of H2 gas is added to the reaction chamber, which of the following will be true? a. The rate of reaction and the rate constant will increase. b. The rate of reaction and the rate constant will not change. c. The rate of reaction will increase and the rate constant will decrease. d. The rate of reaction will increase and the rate constant will not change. e. The rate of reaction will not change and the rate constant will increase. 23. A+B C When the reaction given above takes place, the rate law is: Rate = k[A] If the temperature of the reaction chamber were increased, which of the following will be true? a. The rate of reaction and the rate constant will increase. b. The rate of reaction and the rate constant will not change. c. The rate of reaction will increase and the rate constant will decrease. d. The rate of reaction will increase and the rate constant will not change. e. The rate of reaction will not change and the rate constant will increase. 24. A+B C Based on the following experimental data, what is the rate law for the hypothetical reaction given above? Experiment 1 2 3 a. b. c. d. e. 25. [B] (M) 0.10 0.20 0.20 Initial Rate of Formation of C (1/M·s) 3 x 102 6 x 102 6 x 102 Rate = k[A] Rate = k[A]2 Rate = k[B] Rate = k[B]2 Rate = k[A] [B] A+B C+D The rate law for the hypothetical reaction shown above is as follows: Rate = k[A] Which of the following changes to the system will increase the rate of reaction? I An increase in the concentration of A II. An increase in the concentration of B III. An increase in the temperature a. b. c. d. e. 26. [A] (M) 0.20 0.20 0.40 I only I and II only I and III only II and III only I, II, and III A+B C Based on the following experimental data, what is the rate law for the hypothetical reaction given above? Experiment 1 2 3 a. b. c. d. e. [A] (M) 0.20 0.20 0.40 Rate = k[A] Rate = k[A]2 Rate = k[B] Rate = k[B]2 Rate = k[A] [B] [B] (M) 0.10 0.20 0.40 Initial Rate of Formation of C (1/M·s) 2.0 x 106 4.0 x 106 1.6 x 105 27. A+B C Based on the following experimental data, what is the rate law for the hypothetical reaction given above? Experiment 1 2 3 a. b. c. d. e. [A] (M) 0.10 0.40 0.40 [B] (M) 0.10 0.10 0.20 Initial Rate of Formation of C (1/M·s) 1.5 x 103 6.0 x 103 2.4 x 102 Rate = k[A] Rate = k[A]2 Rate = k[A] [B]2 Rate = k[B]2 Rate = k[A]2 [B]2 28. Time (hours) 0 1 2 3 [A] (M) 0.40 0.02 0.10 0.05 [B] (M) 5.00 5.00 5.00 5.00 A reaction occurred in which A reacted with a large excess of B to form C. The concentrations of the reactants were measured periodically and recorded in the chart above. Based on the data in the chart, which of the following is the rate law for the reaction? a. Rate = k[A] b. Rate = k[A]2 c. Rate = k[B] d. Rate = k[B]2 e. Rate = k[A] [B] 29. Consider the reaction: 4 NH3 + 7 O2 4 NO2 + 6 H2O At a certain instant the initial rate of disappearance of the oxygen gas is X. What is the value of the appearance of water at the same instant? a. 1.2X b. 1.1X 1Δ[O2] = 1Δ[H2O] so 6Δ[O2] = Δ[H2O] c. 0.86X 7 Δt 6 Δt 7 Δt Δt d. 0.58X e. cannot be determined from the data 6/7 = 0.86 30. Consider the reaction X Y + Z Which of the following is a possible rate law? a. b. c. d. e. 31. Rate = k[X] Rate = k[Y] Rate = k[Y] [Z] Rate = [X] [Y] Rate = k[Z] Rate laws do NOT include products!! Consider the following rate law: Rate = k[A]n [B]m How are the exponents n and m determined? a. b. c. d. e. By using the balanced chemical equation By using the subscripts for the chemical formulas By using the coefficients of the chemical formulas By educated guess By experiment Questions 32-33 The following initial rate data were found for the reaction 2 MnO41 + 5 H2C2O4 + 6 H+1 → 2 Mn+2 + 10 CO2 + 8 H2O [MnO41]0 1 x 103 2 x 103 2 x 103 2 x 103 [H+1]0 1.0 1.0 1.0 2.0 [H2C2O4]0 1 x 103 1 x 103 2 x 103 2 x 103 32. Which of the following is the correct rate law? a. Rate = k[MnO41]2 [H2C2O4]5 [H+1]6 b. Rate = k[MnO41]2 [H2C2O4] [H+1] c. Rate = k[MnO41] [H2C2O4] [H+1] d. Rate = k[MnO41]2 [H2C2O4] e. Rate = k[MnO41]2 [H2C2O4]2 33. What is the value of the rate constant? a. 2 x 105 Ms1 b. 2 x 105 M2s1 c. 200 M1s1 d. 200 M2s1 e. 2 x 104 Ms1 Initial Rate (M/s) 2 x 104 8 x 104 1.6 x 103 1.6 x 103 Rate = k[MnO41]x [H2C2O4]y [H+1]z x = 2 because as the concentration is doubled, the rate is quadrupled. y = 1 because as the concentration is doubled, the rate is doubled. z = 0 because as the concentration is doubled, the rate does not change. Rate = k[MnO41]2 [H2C2O4] 2 x 104 M/s = k(1 x103 M)2 (1 x103 M) 2 x 104 M/s = k (1 x109 M3) 2 x 105 1/M2s = k 34. Tabulated below are initial rate data for the reaction: 2 Fe(CN)63 + 2I1 2 Fe(CN)64 + I2 Run 1 2 3 4 5 [Fe(CN)63]0 0.01 0.01 0.02 0.02 0.02 [I1]0 0.01 0.02 0.02 0.02 0.02 [Fe(CN)64]0 0.01 0.01 0.01 0.02 0.02 [I2]0 0.01 0.01 0.01 0.01 0.02 Initial Rate (M/s) 1 x 105 2 x 105 8 x 105 8 x 105 8 x 105 The experimental rate law is: a. [I2] = k [Fe(CN)63]2 [I1]2 [Fe(CN)64]2 [I2] t 35. b. [I2] = k [Fe(CN)63]2 [I1] [Fe(CN)64] [I2] t c. [I2] = k [Fe(CN)63]2 [I1] t d. [I2] = k [Fe(CN)63] [I1]2 t e. [I2] = k [Fe(CN)63] [I1] [Fe(CN)64] t The only two possibilities are c and d because the others include products. [Fe(CN)63] is second order because when the concentration is doubled, the rate is quadrupled. [I1] is first order because when the concentration is doubled, the rate doubles. For a reaction in which A and B react to form C, the following initial rate data were obtained: [A] (M) 0.2 0.4 0.8 0.2 0.2 [B] (M) 0.2 0.2 0.2 0.4 0.8 Initial Rate of Formation of C (M/s) 0.50 2.00 80.. 1.00 2.00 What is the rate law for the reaction? a. Rate = k[A] [B] b. Rate = k[A]2 [B] c. Rate = k[A] [B]2 d. Rate = k[A]2 [B]2 e. Rate = k[A]3 [A] is second order because when [B] is constant and [A] is doubled, the rate is quadrupled. [B] is first order because when [A] is constant and [B] is doubled, the rate is doubled. Questions 36-39 The following questions refer to the gas-phase decomposition of ethylene chloride. C2H5Cl → products Experiment shows that the decomposition is first order. The following data show kinetics information for this reaction. Time (s) ln [C2H5Cl] (M) 1.0 1.625 2.0 1.735 36. What is the rate constant for this decomposition? a. 0.29 s1 Put the times in L1 and the ln [C2H5Cl] in L2. b. 0.35 s1 1 Do a linear regression to find the slope. c. 0.11 s 1 Slope = k so k = 0.11 so k = 0.11 d. 0.02 s 1 e. 0.22 s 37. What was the initial concentration of the ethylene chloride? a. 0.29 M ln [A] = kt + ln [A]0 b. 0.35 M 1.625 M = (0.11s1) (1.0 s) + ln [A]0 c. 0.11 M 1.625 M = 0.11 + ln [A]0 d. 0.02 M 1.515 M = ln [A]0 e. 0.22 M 0.22 M = [A]0 38. What would the concentration be after 5.0 seconds? a. 0.13 M ln [A] = kt + ln [A]0 b. 0.08 M ln [A] = (0.11s1) (5.0 s) + ln [0.22 M] c. 0.02 M ln [A] = 0.55 + 1.5 d. 0.19 M ln [A] = 2.05 e. 0.12 M [A] = 0.13 M What is the half life? a. 0.7 s b. 1.3 s t½ = 0.693/k c. 8.9 s t½ = 0.693/0.11 d. 6.3 s t½ = 6.3 s e. 2.2 s 39. 40. The decomposition of ozone may occur through the two-step mechanism shown: step 1 O3 → O2 + O step 2 O3 + O → 2O2 The oxygen atom is considered to be a(n) a. reactant b. product c. catalyst d. reaction intermediate e. activated complex Questions 41-43 The kinetics of the reaction A + 3 B → C + 2D were studied and the following results obtained, where the rate law is Δ[A] = k [A]n [B]m Δt For a run where [A]0 = 1.0 x 103 M and [B]0 = 5.0 M, a plot of ln[A] versus t was found to give a straight line with slope = 5.0 x 102 s1. For a run where [A]0 = 1.0 x 103 M and [B]0 = 10.0 M, a plot of ln[A] versus t was found to give a straight line with slope = 7.1 x 102 s1. 41. 42. 43. What is the value of n? a. 0 b. 0.5 Since the plots of ln[A] vs. t gives a straight line, then [A] is first order. c. 1 d. 1.5 e. 2 Trial 2: k2 = k[B2]m Trial 1: k1 = k[B1]m 7.1 x 102 = k[10.0]m 5.0 x 102 = k[5.0]m What is the value of m? k = 7.1 x 102 k = 5.0 x 102 a. 0 [10.0]m [5.0]m b. 0.5 c. 1 d. 1.5 5.0 x 102 = 7.1 x 102 e. 2 [5.0]m [10.0]m Calculate the value of k (ignore units). a. 2.2 x 102 k1 = k[B1]½ b. 1.0 x 102 5.0 x 102 = k[5.0] ½ c. 5.0 x 102 k = 5.0 x 102 d. 1.1 x 102 [5.0] ½ e. none of these (5.0 x 102)(10.0)m = (7.1 x 102)(5.0)m (10.0)m = (7.1 x 102) (5.0)m (5.0 x 102) 2m = 1.42 or 2m = 2½ so m = ½ k = 0.022 44. Using the following information determine the activation energy for the reaction shown here: 2NO → N2 + O2 Temperature (K) 1400 1500 a. b. c. d. e. 3.2 x 104 J/mol 9.5 x 106 J/mol 2.8 x 104 J/mol 6.8 x 105 J/mol 2.7x 105 J/mol Rate Constant (1/Ms) 0.143 0.659 ln (k2/k1) = Ea/R (1/T1 1/T2) ln (0.659/0.143) = Ea/8.31 J/molK (1/1400 K 1/1500 K) ln (4.61) = Ea/8.31 J/molK {(7.14 x 104) (6.67 x 104)} 1.53 = Ea/8.31 J/molK (4.7 x 105) 1.53 = (5.66 x 106)Ea 2.7 x 105 J/mol = Ea Questions 45-46 The reaction 2NOBr → 2NO + Br2 exhibits the rate law Rate = k [NOBr]2 = Δ[NOBr] Δt where k = 1.0 x 105 M1s1 at 25C. This reaction is run where the initial concentration of NOBr ([NOBr]0) = 1.00 x 101 M. 45. What is one half-life for this experiment? a. 5.0 x 101 s t½ = 1/k[A]0 b. 6.9 x 104 s 5 t½ = 1/{(1.0 x 105 M1s1)(1.00 x 101 M)} c. 1.0 x 10 s t½ = 1.0 x 106 s d. 1.0 x 106 s e. none of these 46. The [NO] after 1.00 hour has passed is a. 3.5 x 104 M [A] = [NOBr] b. 9.9 x 103 M c. 9.7 x 103 M 1/[A] = kt + 1/[A]0 3 d. 1.0 x 10 M e. none of these 1/[A] = (1.0 x 105 M1s1)(3600 s) + 1/(1.00 x 101 M) 1/[A] = 0.036 + 10 1/[A] = 10.036 so [A] = 0.0996 M Questions 47-48 The following questions refer to the reaction 2A2 + B2 → 2C. The following mechanism has been proposed: step 1 (very slow) A2 + B2 → R + C step 2 (slow) A2 + R → C 47. What is the molecularity of step 2? a. unimolecular b. bimolecular c. termolecular d. quadmolecular e. the molecularity cannot be determined 48. Which step is “rate determining”? a. both steps b. step 1 c. step 2 d. a step that is intermediate to step 1 and step 2 e. none of these Questions 49-51 The questions below refer to the following diagram: 49. Why is this reaction considered to be exothermic? a. Because energy difference B is greater than energy difference C b. Because energy difference B is greater than energy difference A c. Because energy difference A is greater than energy difference C d. Because energy difference B is greater than energy difference C plus energy difference A e. Because energy difference A and energy difference C are about equal 50. At what point on the graph is the activated complex present? a. point W b. point X c. point Y d. point Z e. none of these 51. If the reaction were reversible, would the forward or the reverse reaction have a higher activation energy? a. The diagram shows no indication of any activation energy. b. The forward and reverse activation energies are equal. c. The forward activation energy. d. The reverse activation energy. The forward reaction goes from W to Y and e. none of these the reverse reaction goes from Z to Y. 52. The reaction 2H2O2 → 2 H2O + O2 has the following proposed mechanism: 2H2O2 + I1 → H2O + IO1 H2O + IO1 → H2O + O2 + I1 The catalyst in the reaction is: a. H2O b. I1 c. H2O2 d. IO1 53. When ethyl chloride, CH3CH2Cl, is dissolved in 1.0 M NaOH, it is converted into ethanol, CH3CH2OH, by the reaction: CH3CH2Cl + OH1 → CH3CH2OH + Cl1 At 25C the reaction is first order in CH3CH2Cl, and the rate constant is 1.0 x 101 s1. If the activation parameters are A = 3.4 x 1014 s1 and Ea = 100.0 kJ/mol, what will the rate constant be at 40C? a. b. c. d. e. 6.9 x 103 s1 1.7 x 102 s1 5.0 x 103 s1 2.0 x 103 s1 5.0 x 1014 s1 100.0 kJ/mol = 1.000 x 105 J/mol k = AeEa/RT k = (3.4 x 1014 s1) e 1.000 x 105 J/mol/{(8.31 J/molK)(313 K)} k = (3.4 x 1014 s1) e 38.4 k = (3.4 x 1014 s1) (2.10 x 1017) k = 7.1 x 103 s1 If the entire problem is done without rounding and using R = 8.3145, then k = 3.97 x 103 s1 Essay questions: 1. The following results were obtained in experiments designed to study the rate of this reaction. A + 2B 2C Experiment 1 2 3 4 [A]0 (M) 0.05 0.05 0.10 0.20 [B]0 (M) 0.05 0.10 0.10 0.10 Initial Rate of Disappearance of A (M/s) 3.0 x 103 6.0 x 103 1.2 x 102 2.4 x 102 a. Determine the order of the reaction with respect to each of the reactants and write the rate law for the reaction. When experiments 3 and 4 are compared, [A] doubles and the rate doubles so the reaction is first order with respect to A. When experiments 1 and 2 are compared, [B] doubles and the rate doubles so the reaction is first order with respect to B. Rate = k[A] [B] b. Calculate the value of the rate constant, k, for the reaction. Include the units. k = Rate_ = (1.2 x 102 M/s) = 1.2 M1s1 [A] [B] (0.10 M)(0.10 M) c. If another experiment is attempted with [A] and [B] both 0.02 M, what will be the initial rate of disappearance of A? Rate = k[A] [B] Rate = (1.2 M1s1)(0.02 M)(0.02 M) Rate = 4.8 x 104 M/s d. The following reaction mechanism was proposed for the reaction above. A + B C +D D + B C (i) Show that the mechanism is consistent with the balanced reaction. A + B C +D D + B C A + 2B + D 2C + D becomes A + 2B 2C (ii) Show which step is the rate-determining step and explain your choice. The first part of the mechanism is the slow, rate-determining step because its reactants (A and B) are the ones present in the rate law. 2. The following results were obtained in experiments designed to study the rate of this reaction. 2 NO (g) + Br2 (g) 2 NOBr (g) Experiment 1 2 3 [NO]0 (M) 0.02 0.04 0.02 [Br2]0 (M) 0.02 0.02 0.04 Initial Rate of Disappearance of A (M/s) 9.6 x 102 3.8 x 101 1.9 x 101 a. Write the rate law for the reaction. When experiments 1 and 2 are compared, [NO] doubles and the rate quadruples so the reaction is second order with respect to NO. When experiments 1 and 3 are compared, [Br2] doubles and the rate doubles so the reaction is first order with respect to Br2. Rate = k[NO]2 [Br2] b. Calculate the value of the rate constant, k, for the reaction. Include the units. k= Rate_ = (9.6 x 102 M/s) = 1.2 x 104 M2s1 [NO]2 [Br2] (0.02 M)(0.02 M) c. In experiment 2, what was the concentration of NO remaining when half of the original amount of Br2 was consumed? In experiment 2, we started with [Br2] = 0.02 M, so 0.01 M was consumed. From the balanced equation, 2 moles of NO are consumed for every mole of Br2 consumed. So 0.02 M of NO are consumed. [NO] remaining = 0.04 M 0.02 M = 0.02 M d. Which of the following reaction mechanisms is consistent with the rate law established in part a? Explain your choice. I. (fast) NO + NO N2O2 (slow) N2O2 + Br2 2 NOBr II. (slow) Br2 Br + Br (fast) 2(NO + Br NOBr) I. (fast) NO + NO N2O2 (slow) N2O2 + Br2 2 NOBr The slow step is the rate-determining step, with the following rate law: Rate = k[N2O2][Br2] We can replace the intermediate (N2O2) by assuming that the first step reaches equilibrium instantaneously and remembering that at equilibrium, the rates of the forward and reverse reactions are equal. kf[NO]2 = kr[N2O2] kf [NO]2 = [N2O2] kr Rate = k kf [NO]2 [Br2] kr 3. The following results were obtained in experiments designed to study the rate of this reaction. 2A + B C + D Experiment 1 2 3 [A]0 (M) 0.10 0.20 0.20 [B]0 (M) 0.10 0.20 0.40 Initial Rate of Formation of D (M/min) 1.5 x 103 3.0 x 103 6.0 x 103 a. Write the rate law for the reaction. Experiments 2 and 3 prove that the rate must double when [B] doubles. Knowing this, we can see that when the rate doubles from experiment 1 to 2, it must be because of B, and the change in A has no effect. So the reaction is zero order with respect to A. b. Calculate the value of the rate constant, k, for the reaction. Include the units. k= Rate_ = (1.5 x 103 M/s) = 1.5 x 102 s1 [B] (0.10 M) c. If experiment 2 goes to completion, what will be the final concentration of D? Assume that the volume is unchanged over the course of the reaction and that no D was present at the start of the experiment. 0.2 M of A is consumed. According to the balanced equation, for every 2 moles of A consumed, 1 mole of D is produced. So if 0.2 M of A is consumed, 0.1 M of D is produced. d. Which of the following reaction mechanisms is consistent with the rate law established in part a? Explain your choice. I. (slow) A + B C + E (fast) A + E D II. (slow) B C + E (fast) A + E F (fast) A + F D II. The slow, rate-determining step gives the proper rate law: Rate = k[B] A (g) + B (g) C (g) 4. The reaction above is second order with respect to A and zero order with respect to B. Reactants A and B are present in a closed container. Predict how each of the following changes to the reaction system will affect the rate and rate constant. a. More gas A is added to the container. The rate of the reaction will increase because the rate depends on the concentration of A as given in the rate law: Rate = k[A]2. The rate constant is independent of the concentration of the reactants and will not change. b. More gas B is added to the container. The rate of reaction will not change. If the reaction is zero order with respect to B, then the rate is independent of the concentration of B. The rate constant is independent of the concentration of the reactants and will not change. c. The temperature is increased. The rate of the reaction will increase with increasing temperature because the rate constant increases with increasing temperature. The rate constant increases with increasing temperature because at a higher temperature more gas molecules will collide with enough energy to overcome the activation energy for the reaction. d. An inert gas D is added to the container. Neither the rate nor the rate constant will be affected by the addition of an inert gas. e. The volume of the container is decreased. The rate of the reaction will increase because decreasing the volume of the container will increase the concentration of A. Rate = k[A]2 The rate constant is independent of the concentration of the reactants and will not change. 5. Use your knowledge of kinetics to answer the following questions. a. Line 2 is the catalyzed reaction. Adding a catalyst lowers the activation energy of the reaction, making it easier for the reaction to occur. The two lines in the diagram above show different reaction pathways for the same reaction. Which of the two lines shows the reaction when a catalyst has been added? Explain. b. Line 2 shows the higher temperature distribution. At a higher temperature, more of the molecules will be at higher energies, causing the distribution to flatten out and shift to the right. Which of the two lines in the energy distribution diagram shows the conditions at a higher temperature? 5. c. Line 1 is correct. ln[reactant] for a first order reaction changes in a linear fashion over time, as shown: ln[A] = kt + ln[A]0 y = mx + b Which of the two lines in the diagram above shows the relationship of ln[A] versus time for a first order reaction with the following rate law: Rate = k[A] d. Graph 1 is correct, showing a decrease in the concentration of A as it is consumed in the reaction, and a corresponding increase in the concentration of B as it is produced. Which of the two graphs above shows the changes in concentration over time for the following reaction: A B 6. Use your knowledge of kinetics to explain each of the following statements. a. An increase in the temperature at which a reaction takes place causes an increase in reaction rate. An increase in temperature means an increase in the energy of the molecules present. If the molecules have more energy, then more of them will collide more often with enough energy to overcome the activation energy required for a reaction to take place, causing the reaction to proceed more quickly. b. The addition of a catalyst increases the rate at which a reaction will take place. A catalyst offers a reaction an alternate pathway with a lower activation energy. If the activation energy is lowered, then more molecular collisions will occur with enough energy to overcome the activation energy, causing the reaction to go more quickly. c. A catalyst that has been ground into powder will be more effective than a solid block of the same catalyst. The effectiveness of a solid catalyst depends on the surface area of the catalyst that is exposed to the reactants. Grinding a solid into powder greatly increases its surface area. d. Increasing the concentration of reactants increases the rate of a reaction. Increasing the concentration of reactants crowds the reactants more closely together, making it more likely that they will collide with each other. The more collisions that occur, the more likely that collisions that will result in a reaction will occur.