Chapter 13, Problem 13.90QP

The thermal decomposition of nitryl chloride, NO₂Cl,

$2{\text{NO}}_2\text{Cl}(g)\stackrel{}{\to }2{\text{NO}}_2(g)+{\text{Cl}}_2(g)$

is thought to occur by the mechanism shown in the following equations:

$\begin{array}{llll}{\text{NO}}_2\text{Cl}\hfill & \stackrel{k_1}{\to }\hfill & {\text{NO}}_2+\text{Cl}\hfill & \text{(slow}\text{step)}\hfill \\ {\text{NO}}_2\text{Cl}+\text{Cl}\hfill & \stackrel{k_2}{\to }\hfill & {\text{NO}}_2+{\text{Cl}}_2\hfill & \text{(fast}\text{step)}\hfill \end{array}$

What rate law is predicted by this mechanism?