3) (3 pts) One overall reaction through which O, is depleted in the stratosphere

Question

3) (3 pts) One overall reaction through which O, is depleted in the stratosphere is: We will consider this reaction in that absence (uncatalyzed) and presence (catalyzed) of CI atom. The experimentally observed rate law is: rate-k [0,10]. i. For each of the following mechanisms, derive the rate law, and state where it agrees with the experimentally observed, 3 (g) Mechanism of the uncatalyzed reaction phenomenological, rate law given above. O (single step mechanism) Rate law Agrees with experimentally observed rate: yes no (circle one)

Explanation / Answer

i. a) Rate law: rate = k[O3][O]

Yes, the rate law agrees with the experimentally observed rate.

b) Rate law: rate = k [O3][O]

Yes, the rate law agrees with the experimentally observed rate.

c) Rate = k2[O4]

Here, O4 is intermediate, its rate of formation and rate of disappearance should be same.

i.e. k1[O3][O] = k-1 [O4] + k2 [O4]

i.e. [O4] = k1 [O3][O] / (k-1 + k2)

Therefore, the rate law: rate = {k2 k1 / (k-1 + k2)} [O3][O] = k [O3][O], where k = k2 k1 / (k-1 + k2)

Yes, the rate law agrees with the experimentally observed rate.

d) In general, the rate should be with respect to the formation of O2, which is the fast step in this case.

the rate law should be rate = k [O3][O], which agrees with the experimentally observed one.

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