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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.
While the form of the differential rate law might be very complicated, many reactions have a rate law of the following form: r = k [A] a [B] b. The initial concentrations of A and B are known; therefore, if the initial reaction rate is measured, the only unknowns in the rate law are the rate constant, k, and the exponents a and b.