The excess Gibbs free energy of a binary liquid at (T) and (P) is given by [

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The excess Gibbs free energy of a binary liquid at \(T\) and \(P\) is given by

\[ \frac{G^{\mathrm{E}}}{R T}=\left(-2.6 x_{1}-1.8 x_{2}\right) x_{1} x_{2} \]

(a) Find expressions for \(\gamma_{1}\) and \(\gamma_{2}\).

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

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