For any pure substance, the difference between \(C_{P}\) and \(C_{V}\) can be expressed in terms of the isothermal compressibility \(\alpha\) and volume expansivity \(\beta\) as

(a) \(C_{P}-C_{V}=\frac{T V \beta}{\alpha^{2}}\)

(b) \(C_{P}-C_{V}=\frac{T V \beta^{2}}{\alpha}\)

(c) \(C_{P}-C_{V}=\frac{T V \alpha}{\beta^{2}}\)

(d) \(C_{P}-C_{V}=\frac{T V \alpha^{2}}{\beta}\).