The following reaction A+B→C has a rate=k[A][B], where the rate constant, k, is 7.52M^-1s^-1. If [A] is 0.024M and [B] is 457M, what is the rate constant of the pseudo-first order reaction?

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General Chemistry 2

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Solve problems relating to zero-, first-, and second-order reactions

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1 Sep 2020

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Please show work and explain:

The reaction A + B â C is studied similarly to our study of phenolphthalein fading kinetics.

The corresponding rate law is Rate = k[A]m[B]m

In this particular experiment, the concentration of A is sufficiently high that the pseudo-order rate law: Rate = k1[B]n can be written, where k1 = k[A]m.

If the study establishes that the reaction is first order in B (n = 1) and that the pseudo rate constant k1 has the following values at varying concentrations of B, what is the order of the reaction in reactant A (what is the value of m)?