Nitrogen and oxygen gas react as high temperatures to form nitric oxide, a component of photochemical smog. Net reaction: the net reaction is N2 + O2 --> 2NO
Proposed mechanism: O2 <====> 2O (fast, at equilibrium)
N2 + O <-- --> NO + N (fast, not at equilibrium)
N + O2 ----> NO + O (Slow)
a.) Derive the rate law for the proposed mechanism. rate = ____________________________
b.) What is the initial rate law, when very little product has formed? initial rate = __________________________
For the given reaction,
a) Derrivation of rate law,
From the slow step,
rate = k4[N][O2]
[N] can be sunstituted as,
k3[N2][O] = k-3[NO][N] + k4[N][O2]
[N] = k3[N2][O]/(k-3[NO] + k4[O2])
For [O],
-d[O2]/dt = k2[O] = k1[O2]^(0.5)
[O] = (k1/k2)[O2]^(0.5)
feed in above equation,
[N] = (k1k3/k2)[N2][O2]^(0.5)/(k-3[NO] + k4[O2])
So,
rate = k4[N][O2] = (k1k3k4/k2)[N2][O2]^(1.5)/(k-3[NO] + k4[O2])
b) initial rate when very littile product has formed,
initial rate = k[N2][O2]
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