For the decomposition of azomethane. ${CH}_{3} N_{2} {CH}_{3} (g) \to {CH}_{3} {CH}_{3} (g) + N_{2} (g)$ a first order reaction, the variation in partial pressure with time at 600 K is given as
The half life of the reaction is _____ × 10^–5s. [Nearest integer]

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answer is 2.

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Detailed Solution

For first order reaction

$\begin{array}{l} k = \frac{1}{t} \ln (\frac{P_{0}}{P}) \\ \ln (\frac{P_{0}}{P}) = kt \\ t_{1 / 2} = \frac{\ln 2}{k} = \frac{0 .693}{3 .465 \times 10^{4}} = 2 \times 10^{- 5} \end{array}$

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