Chapter 11, Problem 79QAP

At low temperatures, the rate law for the reaction

$\text{CO}\left(g\right)+{\text{NO}}_2\left(g\right)\to {\text{CO}}_2\left(g\right)+\text{NO}\left(g\right)$is as follows: $\text{rate}=\left(\text{constant}\right){\left[{\text{NO}}_2\right]}^2$. Which of the following mechanisms is consistent with the rate law?

(a) $\text{CO}+{\text{NO}}_2\to {\text{CO}}_2+\text{NO}$(b) $\begin{array}{l}{\text{2NO}}_2\rightleftharpoons {\text{N}}_2{\text{O}}_4\left(\text{fast}\right)\\ {\text{N}}_2{\text{O}}_4+2\text{CO}\to 2{\text{CO}}_2+2\text{NO}\left(\text{slow}\right)\end{array}$

(c) $\begin{array}{l}2{\text{NO}}_2\to {\text{NO}}_3+\text{NO}\left(\text{slow}\right)\\ {\text{NO}}_3+\text{CO}\to {\text{NO}}_2+{\text{CO}}_2\left(\text{fast}\right)\end{array}$

(d) $\begin{array}{l}2{\text{NO}}_2\to 2\text{NO}+{\text{O}}_2\left(\text{slow}\right)\\ {\text{O}}_2+2\text{CO}\to 2{\text{CO}}_{\text{2}}\left(\text{fast}\right)\end{array}$