The Dieterici equation of state is given by [ P(V-b) exp left(frac{a}{R T V} ight)=R T ]

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The Dieterici equation of state is given by

\[ P(V-b) \exp \left(\frac{a}{R T V}\right)=R T \]

where \(a\) and \(b\) are constants. Develop the relations to determine the constants \(a\) and \(b\) in terms of \(T_{\mathrm{C}}\) and \(P_{\mathrm{C}}\).

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