The effect of a catalyst on the rate constant can be quantified using the modified Arrhenius equation: \[ k = A e^{-\frac{E_a}{RT}} \] In the presence of a catalyst, the activation energy \(E_a\) is reduced, which increases the value of \(k\). The pre-exponential factor \(A\) may also be affected, but the primary influence is on the activation energy.
