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23 June, 01:27

For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the parameter n is known to have a value of 1.1. If, after 129 s, the reaction is 50% complete, how long (total time) will it take the transformation to go to 86% completion?

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  1. 23 June, 01:35
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    3.305 * 10 ^ ⁻4

    Explanation:

    Solution

    Given:

    We calculate the value of k for which is the dependent variable in Avrami equation

    y = 1 - exp (-kt^n)

    exp (-kt^n) = 1-y

    -kt^n = ln (1-y)

    so,

    k = ln (1-y) / t^n

    Now,

    we substitute 1.1 for n, 0.50 for y, and 129 s for t

    k = ln (1-0.50) / 129^1.1

    k = 3.305 * 10 ^ ⁻4
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