The rate of decomposition for methyl nitrite and ethyl nitrite can be given in terms of rate constant${\mathrm{k}}_1 \text{and} {\mathrm{k}}_2$ respectively. The energy of activation for the two reactions are $152.30\mathrm{ }\mathrm{k}\mathrm{J}\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}\mathrm{ }\mathrm{a}\mathrm{n}\mathrm{d}\mathrm{ }157.7\mathrm{ }\mathrm{k}\mathrm{J}\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}$ as well as frequency factors are ${10}^{13}$ and ${10}^{14}$ respectively for the decomposition of methyl and ethyl nitrite. Calculate the temperature at which rate constant will be the same for the two reactions.