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K' represents the placeholder K that is used in psuedo order reactions when the rate law is simplified to only include one species at reaction. For example, if the rate law of a reaction was k[A][B][C] and we wanted to isolate the changes affecting species A, then we could shorten and truncate the rate law into k'[A] where k' is equal to k[B][C]. This is so that it simplifies the equation and turns it into a psuedo first order rate law.
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