bmb428_problemset23

bmb428_problemset23 - BMB428 Physical Chemistry with...

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BMB428 Dr. Song Tan Physical Chemistry with Biological Applications Fall 2007 1 Problem Set 23: Kinetics and Thermodynamics Due Nov 29, 2007 1. Consider the following elementary step: AB k 1 k -1 (a) Write expressions for d[A]/dt and for d[B]/dt. (b) In general, -d[A]/dt = d[B]/dt. At equilibrium, both -d[A]/dt and d[B]/dt are equal to each other and equal to zero. Use this information to determine the ratio of k 1 to k -1 . (c) Using the equation developed in part b, write the equilibrium association constant for the reaction in terms of the rate constants. 2. Repeat question 1 for the following elementary step: A2 B k 1 k -1 3. (a) For a reaction with the following two elementary steps, write an expression for d[A]/dt in terms of [A], [C], and the rate constants. (1) k 1 k -1 (2) BC k 2 k -2 (b) Write the equilibrium constant for the overall reaction in terms of the rate constants. 4. The mechanism for a set of reactions is k 1 (both steps are elementary steps) B + C D k 2 (a) Write a differential equation for the disappearance of A.
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bmb428_problemset23 - BMB428 Physical Chemistry with...

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