The dynamic behavior of fixed-bed adsorption-reaction system has been represented by a pair of quasilinear partial differential equations of first order and analyzed by using the method of characteristics and introducing the theory of mathematical shock. It was assumed that a first order, irreversible reaction occurs in the fluid phase and adsorption of both the reactant and product follows the Freundlich isotherm. The system response was determined for a step change as well as for a square wave change in the reactant feed concentration. Methyl formate was hydrolyzed through a charcoal bed at room temperature to measure the breakthrough curves for methyl formate and methanol, respectively, when the reactant feed concentration underwent a step change and a square wave change. The experimental curves were in good agreement with those predicted by the theoretical analysis. This might be considered as an evidence for the validity of the method of analysis employed in this study. It is expected that the results for the square wave input would be useful for the design and operation of chromatographic reactors.