The uncatalyzed decomposition of compound X has an activation energy of 90 kJ·mol⁻¹ at 298 K. A catalyst lowers the activation energy by 25 kJ·mol⁻¹. If the mixture is also heated to 318 K in the presence of the catalyst, by what overall factor does the rate constant change relative to the uncatalyzed reaction at 298 K? (Use R = 8.314 J·mol⁻¹·K⁻¹.)