Chapter 13, Problem 13.118QP

Tertiary butyl chloride reacts in basic solution according to the equation

${({\text{CH}}_{\text{3}})}_3\text{CCl}+{\text{OH}}^{-}\stackrel{}{\to }{({\text{CH}}_3)}_3\text{COH}+{\text{Cl}}^{-}$

The accepted mechanism for this reaction is

$\begin{array}{l}{(}_{{\text{CH}}_3}\text{CCl}\stackrel{}{\to }{(}_{{\text{CH}}_3}{\text{C}}^{\text{+}}+{\text{Cl}}^{-}(\text{slow})\\ {(}_{{\text{CH}}_3}{\text{C}}^{\text{+}}+{\text{OH}}^{-}\stackrel{}{\to }{(}_{{\text{CH}}_3}\text{COH}\text{(fast)}\end{array}$

What should be the rate law for this reaction?