First slide

First order reactions

Question

If the rate constant for a first order reaction is k, the time (t) required for the completion of 99% of the reaction is given by

Easy

Solution

$For 1^{st} order reaction, t = \frac{2.303}{k} \log \frac{a}{a - x} = \frac{2.303}{k} \log \frac{100}{100 - 99} = \frac{2.303}{k} \log 10^{2} = \frac{2.303}{k} \times 2 \times \log 10 = \frac{4.606}{k}$

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