In the parallel reactions: A β B (K1 = ln 3 min^-1) and A β C (K2 = ln 3 min^-1), the time when the β Chemical Kinetics Chemistry Question
Question
In the parallel reactions: A β B (K1 = ln 3 min^-1) and A β C (K2 = ln 3 min^-1), the time when the concentrations of A, B and C becomes equal is
Answer: B
π‘ Solution & Explanation
Since K1 = K2, [B] = [C] always. When [A] = [B] = [C], [A] = A0/3. [A] = A0 e^(-(K1+K2)t) = A0 e^(-2 ln 3 * t) = A0 / 3. So e^(-ln 9 * t) = 1/3 => 9^t = 3 => t = 1/2 min = 30 s. Therefore, correct answer is B.
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