Rearrange the van der Waals equation of state to give an expression for T as a functionof p and V (with n constant). Calculate (∂T∂p )Vand confirm that (∂T∂p )V= 1/(∂p∂T )V.Go on to confirm Euler's chain relation:(∂x∂y )z(∂y∂z)x(∂z∂x)y= -1 (4)where x, y and z are p, T, and V .
