The first-order rate constant for the decomposition of N$_2$O$_5$,
2N$_2$O$_5$(g) $\rightarrow$ 4NO$_2$(g) + O$_2$(g)
at 70$^\circ$C is 6.82 $\times$ 10$^{-3}$ s$^{-1}$. Suppose we start with 3.00 $\times$ 10$^{-2}$ mol of N$_2$O$_5$(g) in
a volume of 1.8 L.