For the reaction ${N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + \frac{1}{2}{O_{2(g)}}$,the rate constant is $2.3 \times 10^{-2} \ s^{-1}$. Which of the following equations represents the variation of $[{N_2}{O_5}]$ with time?

  • A
    $[{N_2}{O_5}]_t = [{N_2}{O_5}]_0 \ e^{-Kt}$
  • B
    $\ln \frac{[{N_2}{O_5}]_0}{[{N_2}{O_5}]_t} = Kt$
  • C
    $\log_{10} [{N_2}{O_5}]_t = \log_{10} [{N_2}{O_5}]_0 - \frac{Kt}{2.303}$
  • D
    $[{N_2}{O_5}]_t = [{N_2}{O_5}]_0 + Kt$

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