A substance is reduced to one third of its original concentration in 100 minutes, by first-order kinetics. The time (in min) in which it will be reduced to one ninth of its original value is

Question

Prashant Kotian · Accepted Answer

Correct answer: 0200. The time taken to reduce to 1/3rd is 100 minutes. To reduce to 1/9th, which is (1/3)^2, the process must go through two sequential 1/3rd reductions. Since it's a first-order reaction, each reduction takes the same time. Time = 2 × 100 = 200 minutes. Therefore, correct answer is 0200.

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