Q$1$: Nitrogen dioxide and a nitrate radical are formed in the dark by the dissociation of dinitrogen pentoxide:

$N_2{O}_{5}N{O}_2+N{O}_3$

The rate constant for this reaction is $0\mathrm{.}04\frac{L}{s*mol}$ at $25C.$ How long would it take for $0\mathrm{.}1mo\frac{l}{L}$ of $N_2{O}_5$ to be reduced by a factor of five?