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27 May, 11:11

A + B → C Select the rate law for the reaction above using the following information: Holding the concentration of A constant and doubling the concentration of B results in the rate of the reaction increasing from 1.5E-3 M/s to 1.2E-2 M/s. Keeping the concentration of B constant and doubling A results in the rate of the reaction increasing from 1.5E-3 M/s to 3.0E-3 M/s.

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  1. 27 May, 13:36
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    For the initial conditions:

    1.5E-3 = k A^n B^m

    For the second condition:

    1.2E-2 = k A^n (2B) ^m

    1.2E-2 = 2^m k A^n B^m

    From the initial condition:

    1.2E-2 = 2^m (1.5E-3)

    m = 3.32

    For the third condition:

    3.0E-3 = k (2A) ^n B^m

    3.0E-3 = 2^n k A^n B^m

    3.0E-3 = 2^n (1.5E-3)

    n = 1

    Therefore, the rate law is:

    r = k A B^3.32
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