Chlorine atoms react with methane, forming HCl and CH₃. The rate constant for the reaction is 6.00 × 10⁷ M⁻¹s⁻¹ at 298 K. The experiment was repeated at three other temperatures, resulting in the following data:

T (K) k (M⁻¹s⁻¹)
298 6.00×10⁷
303 6.50×10⁷
308 7.00×10⁷
313​ 7.50×10⁷​​

Calculate the activation energy for the reaction in kJ/mol and the frequency factor for the reaction.