Past exam of the chemistry course of the year 4 of the natural sciences course of the University of Cambridge / 2021 / Interdisciplinary paper IDP1 / 1 / a / iii / Solution

The two initial reservoirs each contain one chlorine atom, so complete activation supplies a total chlorine mixing ratio of $2.2\times 10^{-9}$. Under the specified approximation that active chlorine in sunlight is predominantly chlorine monoxide,The daytime loss is consequentlyFor twelve sunlit hours per day, the daily ozone decrement isThe full-day mean concentration loss is $5.269\times 10^5\mathrm{molecules}\mathrm{c}{\mathrm{m}}^{-3}{\mathrm{s}}^{-1}$. Maintaining that rate would consume the initial ozone in about $79.1$ days. This is a fixed-active-chlorine estimate: reservoir reformation, transport and chlorine partitioning change during a real depletion event, and the approximation fails when insufficient ozone remains to recycle chlorine rapidly.