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It is known that the kinetics of recrystallization for some alloy obey the Avrami equation, and...

Question:

It is known that the kinetics of recrystallization for some alloy obey the Avrami equation, and that the value of n in the exponential is 9.0.

If, at some temperature, the fraction recrystallized is 0.30 after 100 min, determine the rate of recrystallization at this temperature.

Avrami Equation

The Avrami equation is used to model the transformation of a solid from one phase to another. It is expressed as:

{eq}\displaystyle y = 1 - e^{-kt^n} {/eq},

where {eq}t {/eq} is time (in minutes), {eq}y {/eq} is the fraction of transformed material, and {eq}k {/eq} and {eq}n {/eq} are constants.

Answer and Explanation:

In the question, we are given the value for one of the constants ({eq}n = 9.0 {/eq}) of the Avrami equation. We need to find the other constant,...

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Phase Changes and Heating Curves

from Chemistry 101: General Chemistry

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