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Problem 78 Hard Difficulty

Ozone is depleted in the stratosphere by chlorine from $\mathrm{CF}_{3} \mathrm{Cl}$
according to this set of equations:
\begin{equation}
\begin{array}{c}{\mathrm{CF}_{3} \mathrm{Cl}+\mathrm{UV} \text { light } \longrightarrow \mathrm{CF}_{3}+\mathrm{Cl}} \\ {\mathrm{Cl}+\mathrm{O}_{3} \longrightarrow \mathrm{ClO}+\mathrm{O}_{2}} \\ {\mathrm{O}_{3}+\mathrm{UV} \text { light } \longrightarrow \mathrm{O}_{2}+\mathrm{O}} \\ {\mathrm{ClO}+\mathrm{O} \longrightarrow \mathrm{Cl}+\mathrm{O}_{2}}\end{array}
\end{equation}
What total volume of ozone at a pressure of 25.0 $\mathrm{mm} \mathrm{Hg}$ and a temperature of 225 $\mathrm{K}$ is destroyed when all of the chlorine from 15.0 $\mathrm{g}$ of $\mathrm{CF}_{3} \mathrm{Cl}$ goes through 10 cycles of the given reactions?

Answer

$1.61 \times 10^{3} \mathrm{L} \mathrm{O}_{3}$

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