The possible mechanism for the reaction
`2NO + 2H_(2) to N_(2) + 2H_(2)O` is
i) `2NO ltimplies N_(2)O_(2)`
ii) `N_(2)O_(2) + H_(2) overset("slow")to N_(2)O+H_(2)O`
iii) `N_(2)O + H_(2) overset("fast")to N_(2) + H_(2)O`
a) What is rate law for the reaction?
b) What is the order of the reaction?

Explanation

To solve the given problem, we need to analyze the reaction mechanism provided and derive the rate law and order of the reaction step by step.

### Step 1: Identify the Slow Step
The reaction mechanism consists of three steps:
1. \( 2NO \rightleftharpoons N_2O_2 \) (fast equilibrium)
2. \( N_2O_2 + H_2 \overset{\text{slow}}{\to} N_2O + H_2O \) (slow step)
3. \( N_2O + H_2 \overset{\text{fast}}{\to} N_2 + H_2O \) (fast step)

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