(20 points) The following reaction mechanism is a simplified mechanism for the d
ID: 941992 • Letter: #
Question
(20 points) The following reaction mechanism is a simplified mechanism for the destruction of ozone during the Austral Spring resulting in an "ozone" hole over Antarctica. Determine the rate law for the formation of oxygen predicted by this mechanism. (Assume the steady-state approximation is valid for any reaction intermediates.) hesteady-state appronild for any reaction intermediates) (CIO+ sunlightcloo+CI C100 + M-h Cl + O2 2x (CI + 03-M CIO + 02) (this reaction occurs twice in the mechanism) net: 2 033 02Explanation / Answer
Rate law of [ClO] formation = 1/2{k1[ClO] + k1[ClO] + k1[M]}
= k1[ClO] + k1[M]/2
using steady state app., k1[ClO] + k1[M]/2 = 0
=> [ClO] = -[M]/2
Rate law of [Cl] formation = 2k2 [ClO]
Rate law of [ClOO] formation = 2k2 [ClO]
= -k2 [M]
Rate law of [Cl] formation = k3 [ClOO] + k3 [M]
=-k2[M] + k3[M] = (k3-k2)[M]
Rate law of [O2] formation = k3 [ClOO] + k3 [M]
=-k2[M] + k3[M] = (k3-k2)[M]
Rate law of [O2] formation = 2k4 {[Cl] + [O3]}
=2k4{(k3-k2)[M] + [O3]}
finally,
Rate law of [O2] formation =2k4{(k3-k2)[M] + [O3]} +(k3-k2)[M]
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