Temperature has a profound effect on the rate constant k. According to the Arrhenius equation, the rate constant increases exponentially with an increase in temperature. This relationship is given by:
k = A e^(-Ea/RT)
where A is the pre-exponential factor, Ea is the activation energy, R is the universal gas constant, and T is the temperature in Kelvin. For catalytic reactions, the activation energy Ea is lower, making the rate constant more sensitive to temperature changes.
