Show that for a van der Waals gas [ alpha=frac{V-b}{P V-frac{a}{V}+frac{2 a b}{V^{2}}} quad text { and

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Show that for a van der Waals gas

\[ \alpha=\frac{V-b}{P V-\frac{a}{V}+\frac{2 a b}{V^{2}}} \quad \text { and } \quad \beta=\frac{R}{P V-\frac{a}{V}+\frac{2 a b}{V^{2}}} \]

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