P3.1: In the atmosphere, molecular oxygen is photochemically decomposed as follows: O2 + hv ------> O* + O                                                        (3.1) The major loss processes for these atoms are: O* + M -----> O + M                                             (3.2) and O + O2 + M -----> O3 + M.                                   (3.3) with rate constants kq and kt respectively and where M is N2 or O2. (a) By equating the rate of reaction (3.1) to Iabs and noting reaction (3.2), write down a kinetic equation for d[O*]/dt. (b) Using the result in (a) find an approximate expression for [O*] by applying the steady-state hypothesis to O*). (c) By integration of the rate law in (a) show that: [O*] = (Iabs / kq[M]) (1-e(-kq[M]t))

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P3.1: In the atmosphere, molecular oxygen is photochemically decomposed as follows:

O2 + hv ------> O* + O                                                        (3.1)

The major loss processes for these atoms are:

O* + M -----> O + M                                             (3.2) and

O + O2 + M -----> O3 + M.                                   (3.3)

with rate constants kq and kt respectively and where M is N2 or O2.
(a) By equating the rate of reaction (3.1) to Iabs and noting reaction (3.2), write down a kinetic equation for d[O*]/dt.
(b) Using the result in (a) find an approximate expression for [O*] by applying the steady-state hypothesis to O*).
(c) By integration of the rate law in (a) show that:

[O*] = (Iabs / kq[M]) (1-e(-kq[M]t))

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