An organic compound A decomposes following two parallel first-order reactions: A → B (K1) and A → C (K2). If K1 is 1.25 × 10^-5 s^-1 and K1/K2 = 1/9, the value of [C]/[A] after one hour of start of re

Question

An organic compound A decomposes following two parallel first-order reactions: A → B (K1) and A → C (K2). If K1 is 1.25 × 10^-5 s^-1 and K1/K2 = 1/9, the value of [C]/[A] after one hour of start of reaction by taking only A, is (ln 1.568 = 0.45)

Prashant Kotian · Accepted Answer

Correct answer: B. K2 = 9 K1. Total K = 10 K1 = 1.25 × 10^-4 s^-1. At t = 3600 s, Kt = 0.45. [A] = A0 e^-0.45 = A0 / 1.568. [C] = A0 (K2/K)(1 - e^-Kt) = A0 (0.9)(1 - 1/1.568). [C]/[A] = 0.9 (1.568 - 1) = 0.9 × 0.568 = 0.5112. Therefore, correct answer is B.

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