(Solved): 6. The reaction CHCl3(g)+Cl2(g)CCl4(g)+HCl(g) occurs according to the mechani ...

6. The reaction ${\mathrm{CHCl}}_3(\mathrm{g})+{\mathrm{Cl}}_2(\mathrm{g})?{\mathrm{CCl}}_4(\mathrm{g})+\mathrm{HCl}(\mathrm{g})$ occurs according to the mechanism: $\begin{array}{rl}{\mathrm{Cl}}_2+\mathrm{hv}& ?2\mathrm{Cl}\\ \mathrm{Cl}+{\mathrm{CHCl}}_3& \stackrel{{\mathrm{k}}_2}{?}\mathrm{HCl}+{\mathrm{CCl}}_3\\ {\mathrm{CCl}}_3+{\mathrm{Cl}}_2& \stackrel{{\mathrm{k}}_3}{?}{\mathrm{CCl}}_4+\mathrm{Cl}\\ 2\mathrm{Cl}& \stackrel{{\mathrm{k}}_4}{?}{\mathrm{Cl}}_2\end{array}$ Assume that the rate of formation of $\mathrm{Cl}$ atoms in the initiation reaction is $2{\mathrm{I}}_a$ where ${\mathrm{I}}_a$ is the intensity of light absorbed. Use the steady state approximation to obtain an expression for the rate of formation of $\mathrm{HCl}$ in terms of ${\mathrm{I}}_3$ and $\left[{\mathrm{CHCl}}_3\right]$. Show all calculations.