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The rxn 2NO + O2 --> 2NO2 is believed to occur by the mechanism

2NO--> N2O2 k1
N2O2-->2NO k-1
N2O2+2-->2NO2 k2

a) Assume N2O2 to be in a steady state and derive the rate equation in terms of [NO] and [O2] as well as k.
b) Under what conditions does the rate equation reduce to second-order kinetics in NO and first kinetics in O2?

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