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Q. The decomposition of $ \, \, \, \, \, N_2 O_5 (g) \longrightarrow \, NO_2 (g) + NO_3 (g)$ proceeds as a first order reaction with a half-life period of $30 \,s$ at a certain temperature. If the initial concentration $[N_2 O_5] = 0.4 \, M$, what is the rate constant of the reaction?

Odisha JEEOdisha JEE 2009Chemical Kinetics

Solution:

For a first order reaction
$ k = \frac{0.693}{t_{1/2}} = \frac{0.693}{30} = 0.0231 s^{-1}$