For a first order reaction, rate constants at \(50^\circ\mathrm{C}\) and \(100^\circ\mathrm{C}\) are \(1.5\times10^{-5}\,\mathrm{s^{-1}}\) and \(4.5\times10^{-5}\,\mathrm{s^{-1}}\), respectively. What is the approximate activation energy of the reaction (in \(\mathrm{kJ\,mol^{-1}}\))?
\[
(\log3=0.48,\;R=8.3\ \mathrm{J\,mol^{-1}K^{-1}})
\]