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
  $[{N_2}{O_5}]_t = [{N_2}{O_5}]_0 + Kt$