Page 350 has a two-point equation relating k (the rate constant) and T (temperature). De...

Page 350 has a two-point equation relating k (the rate constant) and T (temperature). Derive a two-point equation relating k and activation energy for a catalyzed and an uncatalyzed reaction at the same temperature. Assume that A is the same for both reactions.

Reference Two-Point Equation Relating k and T:

The Arrhenius equation can be expressed in a different form by following the procedure used with the Clausius-

Clapeyron equation in Chapter 9. At two different temperatures, T₂ and T₁,

Subtracting the second equation from the first eliminates ln A, and we obtain

Taking R 5 8.31 J/mol · K, the activation energy is expressed in joules per mole.