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

question 68

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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 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 k<sub>1</sub>, and C can decompose to make A and B in a first order reaction with rate constant of k<sub>-1</sub>. If the instantaneous amounts of A, B, and C are represented as a, b, and c, and the initial amounts are given as A<sub>0</sub>, B<sub>0</sub>, and C<sub>0</sub>, the change in C can be represented with the differential equation   . If A<sub>0</sub> = 0 , B<sub>0</sub> = 0, C<sub>0</sub> = 4, k<sub>1</sub> = 0.02 s <sup>-1</sup>, and k<sub>-1</sub> = 0.04 s<sup> -1</sup>, how much C is present after 15 seconds? [Note: c cannot be larger than C<sub>0</sub> plus the smaller of A<sub>0</sub> or B<sub>0</sub>. Nor can it be smaller than 0.] A)  6.51 B)  2.46 C)  3.84 D)  1.74 . 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.]

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