Chemical Kinetics and Nuclear ChemistryHard

Question

The reaction of NO2 (g) and O3 (g) is first-order in NO2 (g) and O3 (g)
2NO2 (g) + O3 (g) →  N2O5 (g) + O2 (g)
The reaction can take place by mechanism :
I : NO2 + O3 NO3 + O2
    NO3 + NO2 N2O5
II : O3 O2 + [O]
     NO2 + O NO3
     NO3 + NO2 N2O5
Select correct mechanism.

Options

A.I only
B.II only
C.both I and II
D.None of I and II

Solution

For Rxn rate determining step is slowest step
Then in 1st Rxn
Rate = k [NO2] [O3]         .....(i)
But 2nd Rxn
O3 O2 + [O]                ....(a)
NO2 + O NO3                ....(b)
NO3 + NO2 N2O5            ....(c)
Then for Rxn (a)
= keq                ....(d)
by Rxn (b)
Rate = k [NO2] [O]                    ....(ii)
put value of [O] from (d) to (ii)
Rate = k  × [NO2]
Rate =

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