The reaction of nitric oxide with molecular hydrogen results in the production of molecular nitrogen and water as follows:

2NO(g) + 2H2(g) N2(g) +2H2O(g).

A mechanism for the reaction is:

2NO(g) ^k1_k-1 N2O2(g) (FAST)

H2(g) + N2O2(g) ^k2 N2O(g) + H2O(g)

H2(g) + N2O(g) ^k3 N2(g) + H2O

Derive the rate law expression for this reaction. Helpful hint use the Steady State Approximation.

Please explain and show steps!