For two reactions: A → P and B → Q of first and second order, respectively, if the initial concentrations of A and B are same (1 M), then the time taken by A and B to reach at 0.5 M concentration is s

Question

For two reactions: A → P and B → Q of first and second order, respectively, if the initial concentrations of A and B are same (1 M), then the time taken by A and B to reach at 0.5 M concentration is same. Which of the following is/are correct statement(s) regarding the reactions?

Prashant Kotian · Accepted Answer

Correct answer: B,D. Since t_1/2 is the same for both, for first order t_1/2 = 0.693/K1, and for second order t_1/2 = 1/(K2 × 1M). Thus, 0.693/K1 = 1/K2, which means K2 = K1 / 0.693 = 1.44 K1. So K2 > K1 (D is correct). Initial rates: r_A = K1(1) = K1, r_B = K2(1)^2 = K2. Since K2 > K1, r_B > r_A (B is correct). Therefore, correct answer is B,D.

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