Chapter 15, Problem 130CP

For the reaction

$\text{2A}\text{+}\text{B}\to \text{products}$

afriend proposes the following mechanism:

$\text{A}\text{+}\text{B}\rightleftharpoons \text{M}$

$\text{A}\text{+}\text{M}\to \text{products}$

1. Assuming that the second step is the rate-determining step and the first step is a fast equilibrium step,determine the rate law. Represent the rate constantin terms of ${\text{k}}_{\text{1}}$ , ${\text{k}}_{-1}$ , and ${\text{k}}_2$ .
2. Using the steady-state approximation, determine therate law.
3. Under what conditions of $\text{[A]}$ and $\text{[B]}$ do you get thesame rate law in parts $\text{a}$ and $\text{b}$?