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Pseudo rate laws are used essentially when the order is determined by increasing the concentrations of one or more reactants. For example, in the rate law Rate=k[A][B][C], if [B] and [C] are in large excess, then they remain essentially constant, so [A] determines the rate. Since only [A] matters in this case, the reaction would be pseudo first order; it is first order when considering only [A], but because there are two other concentrations involved that don't technically matter in the rate law, it is called a psuedo first order reaction.
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