Nitrogen dioxide reacts with carbon monoxide to produce nitrogen monoxide and carbon dioxide in the reaction, $\mathrm{NO}_{2}(g)+\mathrm{CO}(g) \longrightarrow \mathrm{NO}(g)+\mathrm{CO}_{2}(g)$
The first step in the reaction is proposed to be two $\mathrm{NO}_{2}$ molecules colliding to form $\mathrm{NO}_{3}$ and NO. The $\mathrm{NO}_{3}$ intermediate then reacts with $\mathrm{CO}$ to form $\mathrm{CO}_{2}$. What is the rate law for this proposed mechanism?