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Multi-step and Related Rate

APCHEM-71JELL

$$2NO \longrightarrow N_2O_2 \text{ (fast)}$$

$$N_2O_2+ H_2 \longrightarrow H_2O_2+ N_2 \text{ (slow)}$$

$$H_2+ H_2O_2 \longrightarrow 2H_2O \text{ (fast)}$$

For the preceding multi-step reaction mechanism, which of the following is the correct rate law?

A

$\text{rate} = k [H_2O_2][N_2]$

B

$\text{rate} = k[N_2O_2][H_2]$

C

$\text{rate} = k[NO]^2$

D

$\text{rate} = k[NO]^2[H_2]$