Consider the following reaction, \(2{H}_{2}(g)+2NO(g)\to {N}_{2}(g)+2{H}_{2}O(g)\) which follows the mechanism given bel…

Consider the following reaction,

\(2{H}_{2}(g)+2NO(g)\to {N}_{2}(g)+2{H}_{2}O(g)\)

which follows the mechanism given below:

\(2\mathrm{NO}\left(\mathrm{g}\right)\underset{{\mathrm{k}}_{-1}}{\overset{{\mathrm{k}}_{1}}{⇌}}{\mathrm{N}}_{2}{\mathrm{O}}_{2}\left(\mathrm{g}\right)\left(\mathrm{fast}\mathrm{equilibrium}\right)\\ {\mathrm{N}}_{2}{\mathrm{O}}_{2}\left(\mathrm{g}\right)+{\mathrm{H}}_{2}\left(\mathrm{g}\right)\overset{{\mathrm{k}}_{2}}{\to }{\mathrm{N}}_{2}\mathrm{O}\left(\mathrm{g}\right)+{\mathrm{H}}_{2}\mathrm{O}\left(\mathrm{g}\right)\left(\mathrm{slow}\mathrm{reaction}\right)\\ {\mathrm{N}}_{2}\mathrm{O}\left(\mathrm{g}\right)+{\mathrm{H}}_{2}\left(\mathrm{g}\right)\overset{{\mathrm{k}}_{3}}{\to }{\mathrm{N}}_{2}\left(\mathrm{g}\right)+{\mathrm{H}}_{2}\mathrm{O}\left(\mathrm{g}\right)\left(\mathrm{fast}\mathrm{reaction}\right)\\\)
The order of the reaction is

[JEE Advanced 2024, Paper-1]