Find an expression with appropriate partial derivatives for each of the following and then replace the partial derivatives with the properties Cp, CV , κ, β, T, p, V as appropriate (for part (a), you might have to use the first law to find the partials of V with respect to E and S):
(a) dV(E, S), (b) dV(p, S), (c) dV(p, T ), (d) dS(p, T ).
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