bmb428_problemsete3

bmb428_problemsete3 - BMB428 Physical Chemistry with...

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BMB428 Dr. Song Tan Physical Chemistry with Biological Applications Fall 2007 1 Extra Problem Set 3: Chemical and Enzyme Kinetics These additional problems are provided to help you study chemical and enzyme kinetics. I have tried to include problems that drill you on important concepts, but do not assume that only material in this problem set will be tested. Reaction Rates 1. The rate of change of CH 3 radicals in the reaction 2CH 3 (g) CH 3 CH 3 (g) was reported as d[CH 3 ]/dt = -1.2 M/s under particular conditions. What are (a) the rate of reaction and (b) the rate of formation of CH 3 CH 3 ? 2. The rate of the reaction A + 2B 3C + D was reported as 1.0 M/s. State the rate of formation and consumption of each component (i.e. each reactant and product). 3. The rate of consumption of B in the reaction A + 3B C + 2D is 1.0 M/s. State the reaction rate, and the rates of formation or consumption of A, C and D. 4. The rate law for the reaction in Question 2 was found to be v = k[A][B]. (a) What are the units of k? Express the rate law in terms of the rates of formation and consumption of (b) A and (c), C. 5. The rate law for the reaction A + 3B C + D was found to be v = k[A][B] 2 . (a) What are the units of k? Express the rate law in terms of the rates of formation and consumption of (b) A and (c), C. 6. The rate law for the reaction in Question 3 was reported as d[C]/dt = k[A][B][C] -1 . (a) Express the rate law in terms of the reaction rate. (b) What are the units of k? 7. The rate law for the reaction 2A + B 2C + 3D was reported as d[C]/dt = k[A][B][C]. (a) Express the rate law in terms of the reaction rate. (b) What are the units of k? Reaction Order 8. At 518°C, the rate of decomposition of a sample of gaseous acetaldehyde, intially at a pressure of 363 Torr, was 1.07 Torr s -1 when 5.0% had reacted and 0.76 Torr s -1 when 20.0% had reacted. If the reaction rate is proportional to [A] n , determine the order of the reaction, n. (Hint: think about the relationship between concentration and partial pressure). 9. A second order reaction of the type A + B P was carried out in a solution that was initially 0.05 M in A and 0.08 M in B. After 1.0 h, the concentration of A had fallen to 0.02 M. (a) Calculate the rate constant, (b) Is the half life of A the same as the half life of B? (c) What are the half-lives of the reactants? 10. The half-life for the (first order) radioactive decay of 14 C is 5730 years. An archaeological sample contained wood that had only 72% of the 14 C found in living trees. What is the age of the sample? 11. One of the hazards of nuclear explosions is the generation of 90 Sr and its subsequent incorporation in place of calcium in bones. The half life of the (first order) radioactive decay of 90 Sr is 28.1 years. Suppose 1.00 μg of 90 Sr was absorbed by a newly born child. How much will remain after (a) 18 years, (b) 70 years if none is lost metabolically?
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bmb428_problemsete3 - BMB428 Physical Chemistry with...

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