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The rate of decomposition for \( \mathrm{CH}_{3} \mathrm{NO}_{2} \) and \( \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{NO}_{2} \) can be given in terms of rate constant (in \( \mathrm{s}^{-1} \) ) \( K_{1} \) and \( K_{2} \), respectively. The energy of activation for these reactions is \( 152.30 \) and \( 171.39 \) \( \mathrm{kJ} / \mathrm{mol} \) and the frequency factors are \( 10^{13} \) and \( 10^{14} \) \( \mathrm{s}^{-1} \), respectively. The temperature \( \left(\right. \) in \( \left.{ }^{\circ} \mathrm{C}\right) \) at which rate constant will be same for both decomposition reactions, is \( (R=8.3 \mathrm{~J} / \mathrm{K}-\mathrm{mol}, \ln 10=2.3) \)
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