4. Grain growth is strongly dependent on temperature (i.e., rate of grain growth

Question

4. Grain growth is strongly dependent on temperature (i.e., rate of grain growth increases with increasing temperature), yet temperature is not explicitly given as a part of Equation 7.9. (a) Into which of the parameters in this expression would you expect temperature to be included? (b) On the basis of your intuition, cite an explicit expression for this temperature dependence.

4. Grain growth is strongly dependent on temperature (i.e, rate of grain growth increases with increasing temperature), yet temperature is not explicitly given as a part of Equation 7.9. (a) Into which of the parameters in this expression would you expect temperature to be included? (b) On the basis of your intuition, cite an explicit expression for this temperature dependence

Explanation / Answer

(a) The temperature dependence of grain growth is incorporated into the constant K in Equation 7.9.

(b) The explicit expression for this temperature dependence is of the form

k=k0exp-(Q/RT)

in which K is a temperature-independent constant, the parameter Q is an activation energy, and R and T are the gas constant and absolute temperature, respectively.

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