For a liquid obeying the equation of state Vm = c1 + c2T + c3T2 — c4P — c5PT [Eq. (1.40)], find expressions for each of the following properties in terms of the c’s, CP, P, T, and V: (a) CP – CV; (b) (∂U/∂V)T; (c) (∂S/∂P)T; (d) μJT; (e) (∂S/∂T)P; (f) (∂G/∂P)T.
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