Explanation:
Rate law is defined as the rate of a reaction is directly proportional to the concentration of reactants at constant temperature.
[tex]Rate \propto [\text{concentration of reactant}]^{n}[/tex]
= k [tex][\text{concentration of reactant}]^{n}[/tex]
where, k = rate constant
n = order of reaction
For the given reaction, [tex]2H_{2} + 2NO \rightarrow N_{2} + 2H_{2}O[/tex]
Hence, its rate will be as follows.
Rate = [tex]k[H_{2}][NO][/tex]
Also, it is known that slowest step in a chemical reaction is the rate determining step.
Hence, for the given rate law correct reaction is as follows.
Step 1 : [tex]H_{2} + NO \rightarrow N + H_{2}O[/tex] (slow)
Balancing this equation it becomes [tex]H_{2} + 2NO \rightarrow N_{2}O + H_{2}O[/tex] (slow)
Step 2: [tex]N_{2}O + H_{2} \rightarrow N_{2} + H_{2}O[/tex] (fast)