Chemical Kinetics

The temperature \((\mathrm{T})\) and rate constant \((\mathrm{k})\) for a first order reaction \(\mathrm{R} \rightarrow \mathrm{P}\), was found to follow the equation \(\log \mathrm{k}=-(2000) \frac{1}{\mathrm{~T}}+8.0\). The pre-exponential factor '\(\mathrm{A}\)' and activation energy \(\mathrm{E}_{\mathrm{a}}\), respectively are: [Given: \(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\)]