The reaction mechanism for the decomposition of A₂ is attached. where the dissociation of A₂ is first order in A₂, and the recombination of A is second order in A; the reaction of A and B is first order in both A and B. Deduce the rate law for the rate of formation of P in two ways: (i) assuming a pre-equilibrium between A₂ and A and (ii) applying the steady state approximation to A.

ka A2 = A+ A k'a + %