When a chemical reaction is conducted in the presence of a catalyst one of the results is the decrease of the temperature at which the reaction occurs, so it may be considered such as decrease in the energy of activation... The question is how to estimate the decrease in energy with the presence of a catalyst in the reactive system? We have some data such as enthalpies of reaction and the difference of temperature (with catalyst and without catalyst)
Reaction enthalpies won't change due to the use of a catalyst. The simplest solution for your problem is to measure conversion at different temperatures with and with out catalyst and than calculate effective reaction rates r_eff. With these rates you can make an Arrhenius plot ln(r_eff) vs. 1/T and deduce the apparent (!) activation energies for both the non catalyzed as well as for the catalyzed reaction. But you should be aware that if you have mass transport limitations the Arrhenius approach will give you apparent activation energies for especially the catalyzed reaction which are to low.
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