The molar volume of a binary liquid mixture at (T) and (P) is given by [ V=120

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The molar volume of a binary liquid mixture at \(T\) and \(P\) is given by

\[ V=120 x_{1}+70 x_{2}+\left(15 x_{1}+8 x_{2}\right) x_{1} x_{2} \]

(a) Find the expressions for the partial molar volume of species 1 and 2;

(b) Show that the expression satisfies the Gibbs-Duhem equation.

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