Consider a chemical system containing species A, B, and C; and that A and B can react to make C in a bimolecular reaction with rate constant of k1, and C can decompose to make A and B in a first order reaction with rate constant of k-1. If the instantaneous amounts of A, B, and C are represented as a, b, and c, and the initial amounts are given as A0, B0, and C0, the change in C can be represented with the differential equation . If A0 = 0 , B0 = 0, C0 = 4, k1 = 0.02 s -1, and k-1 = 0.04 s -1, how much C is present after 15 seconds? [Note: c cannot be larger than C0 plus the smaller of A0 or B0. Nor can it be smaller than 0.]
A) 6.51
B) 2.46
C) 3.84
D) 1.74
Correct Answer:
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