The rate equation for the reaction $2 \mathrm{AB}+\mathrm{B}_{2} \rightarrow 2 \mathrm{AB}_{2}$ is given byrate $=\mathrm{k}[\mathrm{AB}]\left[\mathrm{B}_{2}\right]$ A possible mechanism consistent with this rate law is
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
A slow bimolecular first step AB + B₂ → AB₃ followed by a fast step gives rate = k[AB][B₂]; (a) would be termolecular in [AB]², and pre-equilibria (b, d) give different orders.