i. let kf and kb be forward and backward rate
constants
kf
N2O5 ==== NO2 + NO3
kb
ii. NO3 + NO --> 2
NO2
(rate constant k2)
In these steps, NO3 is intermediate. You have
consumption rate of NO3 = k2 [NO3] [NO]
production rate of NO3 = kf [N2O5]
Applying the steady-state assumption gives:
k2 [NO3] [NO] = kf [N2O5]
[NO3] = kf [N2O5]/k2[NO] --- 1
d[NO2]/dt = 2* k2 [NO3][NO] ---- 2
Substituting (1) in (2) and then in (3) gives
d[NO2]/dt = 2*k2(kf [N2O5]/k2[NO])[NO]
d[NO2]/dt = K [N2O5]--- 3
where k = 2*Kf
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