JEE Advanced 2024 · Paper 1, Chemistry question 9

Consider the following reaction,

$$\ce{2H2(g) + 2NO(g) -> N2(g) + 2H2O(g)}$$

which follows the mechanism given below:

$$\ce{2NO(g)} \underset{k_{-1}}{\overset{k_1}{\rightleftharpoons}} \ce{N2O2(g)} \qquad \text{(fast equlibrium)}$$
$$\ce{N2O2(g) + H2(g)} \xrightarrow{k_2} \ce{N2O(g) + H2O(g)} \qquad \text{(slow reaction)}$$
$$\ce{N2O(g) + H2(g)} \xrightarrow{k_3} \ce{N2(g) + H2O(g)} \qquad \text{(fast reaction)}$$

The order of the reaction is _____.