\(\ln \,\left( {\frac{k}{{{{10}^{ - 5}}}}} \right) = \left( {\frac{{Ea}}{R}} \right)\, \times \,\frac{{500 - 400}}{{500 \times 400}}\)
\(\ln \,\left( {\frac{k}{{{{10}^{ - 5}}}}} \right) = 4606 \times \frac{1}{{2000}}\, = \,2.303\, = \,\ln \,10\)
\(\ln \,\left( {\frac{k}{{{{10}^{ - 5}}}}} \right) = \,\ln \,10\)
\(k\,=\,10^{-4}\)
$\left( {{\rm{R}} = 8.3\;{\rm{Jmo}}{{\rm{l}}^{ - 1}}{{\rm{K}}^{ - 1}},\ln \left( {\frac{2}{3}} \right) = 0.4,\left. {{e^{ - 3}} = 4.0} \right)} \right.$
$ O_3 $ $\rightleftharpoons$ $ O_2 + O$ ...... (ઝડપી) ;
$O + O_3 \rightarrow 2O_2$ ...... (ધીમી)