Thermodynamics: Maxwell relation and thermal expansion

[ultimateguy]

Use a Maxwell relation and the third law of thermodynamics to prove that the thermal expansion coefficient beta must be zero at T=0.

I know that B=(delta V/V)/T and I also know the Maxwell relations. I'm just not sure which one to use and how to relate it to beta.

 

[dextercioby]

Do you mean

$$\beta =\frac{1}{T}\left(\frac{\partial V}{\partial T}\right)_{p}$$

?

Daniel.

 

[sugam77]

no sir i want the relation b/w cp and cv with gamma for solid state