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bmb428_problemset21

bmb428_problemset21 - BMB428 Physical Chemistry with...

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BMB428 Dr. Song Tan Physical Chemistry with Biological Applications Fall 2007 1 Problem Set 21 : First & Second Order Reactions Due Nov 15, 2007 1. We saw previously that the Michaelis Menton equation could show either zero or first order behavior depending on the substrate concentration (relative to K M ). Today we will look more carefully at first order kinetics. The equation which describes a first order process is : d d [A] t k [A] 1 = In order to make this a useful equation, we need to do some math: (a) Write an equation that separates the variables ([A] and time) in equation 1. (b) Integrate the new equation derived in part A. The limits of integration for [A] should be [A] 1 and [A] 2 . The two times are t 1 and t 2 . (c) Rewrite the equation from part (b) assuming t 1 = 0. (d) Eliminate the log terms in the equation from part (b) by taking the exponent of both sides of the equation. 2. Using one of the equations that you derived in question 1, how much time does it take for the concentration of A to change to half of its initial value?
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