A possible mechanism for the reaction

If the second step is the rate determining step, what is the rate law for this reaction?

Rate determining step

= N_{2} O_{2} + H_{2} \to N_{2} O + H_{2} O

∴

Rate law =

k_{2} [N_{2} O_{2}] [H_{2}]

But

[N_{2} O_{2}] = k_{1} [NO]^{2}

∴

Rate law =

k_{2} k_{1} [NO]^{2} [H_{2}]

= k [NO]^{2} [H_{2}]

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