# Homework Help: Thermal expansion coefficient of a Debye solid

1. Nov 15, 2012

### Catria

1. The problem statement, all variables and given/known data

A solid's thermal expansion coefficient is defined as

δ= $\left(\frac{1}{V}\frac{∂V}{∂T}\right)$

In the Debye model and at the low-temperature limit, show that δ is a positive quantity and is proportional to $T^{3}$. At the high-temperature limit, show that δ is still positive but does not depend on temperature anymore.

2. Relevant equations

δ= $\left(\frac{1}{V}\frac{∂V}{∂T}\right)$

3. The attempt at a solution

I don't even know how to express volume as a function of temperature!