If 0.01% of a substance undergoing decomposition is consumed in 1 ms when the concentration is 0.02 M and in 0.25 ms when the concentration is 0.04 M. The order of reaction is

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Prashant Kotian · Accepted Answer

Correct answer: 3. Time taken for a very small fixed fractional conversion (dt) is inversely proportional to the initial rate. dt = dx / Rate = f[A] / (k[A]^n) = (f/k)[A]^(1-n). Thus, t1/t2 = (A1/A2)^(1-n). 1 / 0.25 = (0.02 / 0.04)^(1-n) => 4 = (1/2)^(1-n) = 2^(n-1). Since 2^2 = 4, n-1 = 2, so n = 3. Therefore, correct answer is 3.

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