Name #1:_____________________________ Name #2:_____________________________ Chemical Kinetics AP Problems Problem #1 1. In an experiment, all the air in a rigid 2.0 L flask is pumped out. Then some liquid ethanol is injected into the sealed flask, which is held at 35 oC. The amount of liquid ethanol initially decreases, but after five minutes the amount of liquid ethanol in the flask remains constant. Ethanol has a boiling point of 78.5 oC and an equilibrium vapor pressure of 100 torr at 35 oC. a. When the amount of liquid ethanol in the flask is constant, is the pressure in the flask greater than, less than, or equal to 100 torr at 35 oC? Justify your answer. b. The flask is then heated to 45 oC, and the pressure in the flask increases. In terms of kinetic molecular theory, provide TWO reasons that the pressure in the flask is greater at 45oC than at 35 oC. In a second experiment, which is performed at a much higher temperature, a sample of ethanol gas and a copper catalyst are placed in a rigid, empty 1.0 L flask. The temperature of the flask is held constant, and the initial concentration of the ethanol gas is 0.0100 M. The ethanol begins to decompose according to the chemical reaction represented below. CH3CH2OH(g) Cu⇢ CH3CHO(g) + H2(g) The concentration of ethanol gas over time is used to create the three graphs below. c. Given that the reaction order is zero, one, or two, use the information in the graphs to respond to the following. i. Determine the order of the reaction with respect to ethanol. Justify your answer. ii. Write the rate law for the reaction. iii. Determine the rate constant for the reaction, including units. d. The pressure in the flask at the beginning of the experiment is 0.40 atm. If the ethanol completely decomposes, what is the final pressure in the flask? Name #1:_____________________________ Name #2:_____________________________ Chemical Kinetics AP Problems Problem #2 8 H+(aq) + 4 Cl-(aq) + MnO4- (aq) ⇢ 2 Cl2(g) + Mn 3+(aq) + 4 H2O(l) 2. Cl2(g) can be generated in the laboratory by reacting potassium permanganate with an acidified solution of sodium chloride. The net-ionic equation for the reaction is given above. a. A 25.00 mL sample of 0.250 M NaCl reacts completely with excess KMnO4(aq). The Cl2 (g) produced is dried and stored in a sealed container. At 22°C the pressure of the Cl2(g) in the container is 0.950 atm. i. Calculate the number of moles of Cl-(aq) present before any reaction occurs. ii. Calculate the volume, in L, of the Cl2 (g) in the sealed container. An initial-rate study was performed on the reaction system. Data for the experiment are given in the table below. Trial [Cl-] [MnO4-] [H+] Rate of Disappearance of MnO4- in M s-1 1 2 3 0.0104 0.0312 0.0312 0.00400 0.00400 0.00200 3.00 3.00 3.00 2.25 x 10-8 2.03 x 10-7 1.02 x 10-7 b. Using the information in the table, determine the order of the reaction with respect to each of the following. Justify your answers. i. Cl-(aq) ii. MnO4- (aq) c. The reaction is known to be third order with respect to H+. Using this information and your answers to part (b) above, complete both of the following: i. Write the rate law for the reaction. ii. Calculate the value of the rate constant, k, for the reaction, including appropriate units. d. Is it likely that the reaction occurs in a single elementary step? Justify your answer. Name #1:_____________________________ Name #2:_____________________________ Chemical Kinetics AP Problems Problem #3 H2(g) + Cl2 (g) ⇢ 2 HCl(g) 3. The table below gives data for a reaction rate study of the reaction represented above. Experiment Initial [H2 ] Initial [Cl2 ] Initial Rate of Formation of mol L mol L HCl mol L s 1 0.00100 0.00500 1.82 x 1012 2 0.00200 0.00500 3.64 x 1012 3 0.00200 0.00250 1.82 x 1012 a. Determine the order of the reaction with respect to H2 and justify your answer. b. Determine the order of the reaction with respect to Cl2 and justify your answer. c. Write the overall rate law for the reaction. d. Write the units of the rate constant. e. Predict the initial rate of the reaction if the initial concentration of H2 is 0.00300 mol L and the initial concentration of Cl2 is 0.00500 mol L . The gas-phase decomposition of nitrous oxide has the following two-step mechanism. Step 1: N2O ⇢ N2 + O f. Step 2: O + N2O ⇢ N2 + O2 Write the balanced equation for the overall reaction. g. Is the oxygen atom, O, a catalyst for the reaction or is it an intermediate? Explain. h. Identify the slower step in the mechanism if the rate law for the reaction was determined to be rate = k [N2O]. Justify your answer. Name #1:_____________________________ Name #2:_____________________________ Chemical Kinetics AP Problems Problem #4 4. An environmental concern is the depletion of O3 in Earth’s upper atmosphere, where O3 is in normal equilibrium with O2 and O. A proposed mechanism for the depletion of O3 in the upper atmosphere is shown below Step I O3 + Cl ⇢ O2 + ClO Step II ClO + O ⇢ Cl + O2 a. Write a balanced equation for the overall reaction represented in Step I and Step II above. b. Clearly identify the catalyst in the mechanism above. Justify your answer. c. Clearly identify the intermediate in the mechanism above. Justify your answer. d. If the rate law for the overall reaction is found to be rate = k [O3] [Cl], determine the following. i. The overall order of the reaction. ii. Appropriate units for the rate constant, k. iii. The rate-determining step of the reaction, along with justification for your answer Name #1:_____________________________ Name #2:_____________________________ Chemical Kinetics AP Problems Problem #5 X(g) kf kr A (g) B(g) H 15 kilocalories 5. The forward reaction shown above is slow at room temperature but becomes rapid when a catalyst is added. a. Draw a diagram of potential energy vs reaction coordinate for the uncatalyzed reaction below. On this diagram below label the following: i. the axes ii. the energies of the reactants and the products iii. the energy of the activated complex iv. all significant energy differences b. On the same diagram indicate the change or changes that result from the addition of the catalyst. Explain the role of the catalyst in changing the rate of the reaction. c. Changing the temperature and no other conditions changes the rates of most chemical reactions. Two factors are commonly cited as accounting for the increased rate of chemical reaction as the temperature is increased. State briefly and discuss the two factors. Which of the two is more important? Name #1:_____________________________ Name #2:_____________________________ Chemical Kinetics AP Problems Problem #6 2A+2B C+D 6. The following data about the reaction above were obtained from three experiments: Initial Rate of Formation of C (mole.liter-1min-1) Experiment [A] [B] 1 0.60 0.15 6.3 10-3 2 0.20 0.60 2.8 10-3 3 0.20 0.15 7.0 10-4 d. What is the order of the reaction with respects to each reactant? Support your answer i. A ii. B e. Write a rate law for the reaction. f. What is the numerical value of the rate constant k? What are its units? g. Propose a reaction mechanism for this reaction.
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