Chapter 15, Problem 61E

A proposed mechanism for a reaction is

$\begin{array}{l}{\text{C}}_4{\text{H}}_9\text{Br}\to {\text{C}}_4{\text{H}}_9{}^{+}+{\text{Br}}^{-}\text{ Slow}\\ {\text{C}}_4{\text{H}}_9{}^{+}+{\text{H}}_2\text{O}\to {\text{C}}_4{\text{H}}_9{\text{OH}}_2{}^{+}\text{ Fast}\\ {\text{C}}_4{\text{H}}_9{\text{OH}}_2{}^{+}+{\text{H}}_2\text{O}\to {\text{C}}_4{\text{H}}_9\text{OH}+{\text{H}}_3{\text{O}}^{+}\text{ Fast}\end{array}$

Write the rate law expected for this mechanism. What is the overall balanced equation for the reaction? What are the intermediates in the proposed mechanism?