The order of the reaction: A → products is 0.5. The time for complete reaction, T and time for 50% r — Chemical Kinetics Chemistry Question

💡 Solution & Explanation

Integrated rate equation for 0.5 order is: [A]^0.5 = A0^0.5 - 0.5 k t. For completion (A=0), T = 2 A0^0.5 / k. For half-life (A=A0/2), t1/2 = 2 (A0^0.5 - (A0/2)^0.5) / k = 2 A0^0.5 (1 - 1/sqrt(2)) / k. Ratio t1/2 / T = 1 - 0.707 = 0.293 ≈ 0.3. Thus, t1/2 = 0.3T. Therefore, correct answer is C.