The rate constant of a first order reaction at 400 K and 500 K is respectively \( 2 \times 10^{-5} \, {s}^{-1} \) and \( 4 \times 10^{-3} \, {s}^{-1} \). What is the approximate activation energy (in kJ/mol\(^{-1}\))? (R = 8.3 J mol\(^{-1}\) K\(^{-1}\), log 2 = 0.3)