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The rate law is an expression for the reaction rate in terms of concentrations of chemical species involved in the reaction. For example, Rate = k [A]m [B]n. where k is a rate constant, m is reaction order with respect to A, n is the reaction order with respect to B, and m+n is the overall reaction order. The rate constant is independent of the concentrations of the chemical species involved in the reaction.
Due to the mathematical complexities of the problem, we will only consider rate laws of the form rate = [A] n. However, with some experimental tricks I will explain below, that treatment does allow us to use the method of integrated rates for a reaction with any arbitrary rate law. By integrating the differential rate law (the simple rate law from Heading ), we derive the integrated rate law for a reaction. Without proof, we present below the forms of the integrated rate laws for reaction orders zero through two: