For a van der Waals gas, show that (a) (d U=C_{V} d T+frac{a}{V^{2}} d V) (b) (d

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For a van der Waals gas, show that

(a) \(d U=C_{V} d T+\frac{a}{V^{2}} d V\)

(b) \(d S=C_{V} \frac{d T}{T}+\frac{R d V}{V-b}\)

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