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Chemical Kinetics

Question
CBSEENCH12006233

For the reaction:
2NO(g)+ O2(g) → 2NO2(g)
the rate law is
Rate = k[NO]2. Why does the rate law not include the concentration of O2?

Solution
The mechanism of the above reaction can be given as
NO+O2NO3k1    (fast)NO3+NOk1 NO2+NO2 (slow)

Slow steps determine the rate law. Because of this rate law not include the concentration of O2.