AP Chemistry 12 Chemical Kinetics: Problem Set A (Measuring Reaction Rates & Rate Laws) 1. What are the relative rates for each reactant and product in the decomposition of nitrosyl chloride (NOCl)? The reaction is: 2NOCl 2NO + Cl2 2. What would be the rate of formation of CO2 if the concentration of octane, C8H18 was changing at a rate of 0.25 mol L-1 s-1 during the combustion of octane? 3. When the concentration of a particular reactant was increased by a factor of 10, the reaction rate was increased by a factor of 1000. What is the order of the reaction with respect to that reactant? 4. A certain reactant disappears by a first-order reaction that has a rate constant k = 3.5 x 10-3 s-1. If the initial concentration of the reactant is 0.500 M, how long will it take for the concentration to drop to 0.200 M? 5. Can vegetarians eat animal crackers? 6. A certain first-order reaction has a half-life of 30 minutes. What is the rate constant for the reaction? 7. In dilute NaOH at 20 C, the decomposition of hydrogen peroxide (H2O2) is firstorder in H2O2 only, and the rate constant is 1.00 x 10-3 min-1. If the initial concentration of H2O2 is 0.020 M, what is its concentration after exactly 100 minutes? 8. The reaction 2NO(g) + Cl2(g) NOCl(g) was studied at -10C. The following results were obtained where rate = - [Cl2]/t [NO]0 (M) 0.10 0.10 0.20 [Cl2]0 (M) 0.10 0.20 0.20 a) What is the rate law? b) What is the value of the rate constant? Initial rate (M.min-1) 0.18 0.36 1.45 AP Chemistry 12 9. A dimer is a molecule composed of two identical molecules. Butadiene (C4H6) reacts to form its dimer according to the equation: 2C4H6(g) C8H12(g) The following data were collected for this reaction at a given temperature: [C4H6] (M) 0.01000 0.00625 0.00476 0.00370 0.00313 0.00270 0.00241 0.00208 Time (s) 0 1000 1800 2800 3600 4400 5200 6200 a) Is this reaction first-order or second-order? (HINT: Plot a graph) b) What is the value of the rate constant for the reaction? c) What is the half-life for the reaction under the conditions of this experiment? 10. The reaction 2HI H2 + I2 is second-order with respect to HI. At 508C, k = 0.079 L mol-1 s-1. a) Write the rate law for this reaction. b) What is the half-life for this reaction at 508C when initially [HI] = 0.050M? Answers: 1. rate = -1/2[NOCl]/t = 1/2[NO]/t = [Cl2]/t 2. 2.0 mol L-1 s-1 6. 3.8 x 10-4 s-1 7. 0.018 M 8. a) rate = k[NO] 2[Cl2] 9. a) 2nd order 10. a) rate = k[HI] 2 3. 3rd order 4. 2.6 x 102 s 5. laugh! b) 1.8 x 102 L2 mol-2s-1 b) 6.14 x 10-2 L mol-1s-1 b) 2.5 x 102s c) 1630 s