The rate of a catalyzed reaction can be determined through various methods such as spectrophotometry, gas chromatography, and mass spectrometry. These techniques measure changes in reactant or product concentrations over time. The rate law, which is an equation that relates the reaction rate to the concentrations of reactants, is often used to describe the kinetics of the reaction. For instance, in a first-order reaction, the rate is directly proportional to the concentration of one reactant.