Consider the following two-step mechanism for the catalyzed reaction

CHEMISTRY · Subjective · A Level · Chemistry · Rate equations · Rate equations

Problem

A + B \longrightarrow P

. Step 1 (fast equilibrium)

\quad C + A \;\rightleftharpoons\; CA \quad (k_1,\,k_{-1})

Step 2 (slow)

\quad CA + B \longrightarrow P + C \quad (k_2)

Write the rate law predicted by this mechanism, expressing the rate only in terms of

k_1, k_{-1}, k_2

and the measurable concentrations

[A],\,[B],\,[C]

. (Do not include the concentration of any intermediate in your answer.)