SO2 oxidation over an activated carbon catalyst in a dynamically operated, adiabatic trickle bed can be described by a system of partial differential equations representing mass balances on four components in two phases, a fifth component only in the gas phase, two heat balances (one in the mixed fluid phase and the other for the stationary catalyst particles) and a total mass balance on the liquid phase. A stable, efficient algorithm has been developed to integrate the system of equations so as to predict the temperature profile in the bed and the acid concentration leaving the trickle bed. The adjustable parameter used to obtain the prediction, the wetting fraction, agrees well with experimental correlations of wetting vs liquid flow. The model is thus accurate. The effect of different kinetic models for SO2 oxidation on the simulations is examined.