How can you determine the rate law of the following reaction?

2NO (g) + O2 (g) 2NO2 (g)


2NO (g) + O2 (g) 2NO2 (g)


The possible mechanism for the reaction will be


i) NO + O2 NO3 (fast)…………………k(equilibrium constant)


ii) NO3+ NO NO2 + NO2 (slow)…………………..k’


Rate is determined by the slow step, so


Rate = k’[NO3][NO]…………………1)


K= [NO3]/[NO] [O2]


K[NO] [O2] = [NO3]………………a)


By putting values of a) in 1)


Rate = k’k[NO][O2][NO]


=k’k[NO]2[O2]


The rate of the reaction can be determined by


Rate = k[NO]2[O2]1




1