Show that: (p/v) =C_P/(C_V _v) where is the coefficient of compressibility. Follow these steps: 1. to obtain an expression for (p/v)S: (a) take the differential of s(p,v) (b) use divide-and-hold-constant rule 2. To introduce CP and CV, use the chain rule (Eq (6.7)) 3. To introduce , use the cyclic transformation (Eq(6.6))