# 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.

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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