Consider a Chemical System Containing Species A, B, and C;

Multiple Choice

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