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The rate constant of a first order reaction is $0.0693 \min^{- 1}$ . What is the time (in minutes) required for reducing an initial concentration

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answer is D.

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Detailed Solution

$For a 1^{st} order reaction, \begin{aligned} t = \frac{2.303}{k} \log [\frac{R_{o}}{R}] \\ t = \frac{2.303}{0.0693} \log [\frac{20}{2.5}] \\ t = 30.01 \min \end{aligned}$

Therefore, the correct option is (D).

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