Exercise: Reaction rate

The reaction rate would be

\[ \begin{align}\begin{aligned}c_{NO} = \frac{n_{NO}}{V} = \frac{\SI{0.1}{mol}}{\SI{1}{L}}\\c_{O_{2}} = \frac{n_{O_{2}}}{V} = \frac{\SI{0.5}{mol}}{\SI{1}{L}}\end{aligned}\end{align} \]

\[\begin{split}\begin{align*} r_{\text{rxn,NO}} &= k_{r} \, c_{NO}^{2} \, c_{O_{2}} \\ &= (\SI{1.48d4}{L^{2}.mol^{-2}.s^{-1}})(\SI{0.1}{moles/L})^{2}(\SI{0.5}{moles/L}) \\ &= \SI{74}{mol/s\,L} \end{align*}\end{split}\]