Chapter 10, Problem 10.6P

The formation of propanol on a catalytic surface is believed to proceed by the following mechanism

$\begin{array}{l}{\text{O}}_2+2\text{S}\stackrel{\text{cat}}{\rightleftarrows }2\text{O}\cdot \text{S}\\ {\text{C}}_3{\text{H}}_6+\text{O}\cdot \text{S}\to {\text{C}}_3{\text{H}}_5\text{OH}\cdot \text{S}\\ {\text{C}}_3{\text{H}}_5\text{OH}\cdot \text{S}\rightleftarrows {\text{C}}_3{\text{H}}_5\text{OH}+\text{S}\end{array}$

Suggest a rate-limiting step and derive a rate law.