The overall reaction is:
Brā(g) + 2 NO(g)Ā ā 2 NOBr(g)
rate law = k [Brā][NO]²
The first step of the overall reaction is:
NO(g) + Brā(g)Ā Ā KāāāK-1Ā NOBrā(g)
rate law 1 = kā [Brā][NO] orĀ
rate law 2 = k-1 [NOBrā]
The second step of the overall reaction is:
NOBrā(g) + NO(g)Ā Ā āKāā 2 NOBr
rate law 3 = kā[NOBrā][NO]
So, rate law of overall reaction can be obtained as follows:
(rate law 1)*(rate law 3) / (rate law 2)
= [(kā[Brā][NO])* (Kā[NOBrā][NO])] / kāā[NOBrā]
= [kākā/kāā][NO]²[Brā]
So the correct answer is:
[kākā/kāā][NO]² [Brā]