Chemistry - Chemical Kinetics Question with Solution | TestHub

The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below:

${\mathrm{O}}_3\left(\mathrm{g}\right)+{\mathrm{Cl}}^{•}\to {\mathrm{O}}_2\left(\mathrm{g}\right)+{\mathrm{ClO}}^{•}\left(\mathrm{g}\right)$...(i)

${\mathrm{k}}_{\mathrm{i}}=5.2\times {10}^9\mathrm{ }\mathrm{L}\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}\mathrm{ }{\mathrm{s}}^{-1}$

${\mathrm{ClO}}^{•}\left(\mathrm{g}\right)+{\mathrm{O}}^{•}\left(\mathrm{g}\right)\to {\mathrm{O}}_2\left(\mathrm{g}\right)+{\mathrm{Cl}}^{•}\left(\mathrm{g}\right)$...(ii)

${\mathrm{k}}_{\mathrm{i}\mathrm{i}}=2.6\times {10}^{10}\mathrm{ }\mathrm{L}\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}\mathrm{ }{\mathrm{s}}^{-1}$

The closest rate constant for the overall reaction

${\mathrm{O}}_3\left(\mathrm{g}\right)+{\mathrm{O}}^{•}\left(\mathrm{g}\right)\to 2{\mathrm{O}}_2\left(\mathrm{g}\right)$is: