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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.
If this differential equation is integrated it gives an equation often called the integrated zero order rate law. where represents the concentration of the chemical of interest at a particular time, and represents the initial concentration.