The excess free energy of a binary solution mixture is given by [ frac{G^{mathrm{E}}}{R T}=-3 x_{1} x_{2}left(0.4

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The excess free energy of a binary solution mixture is given by

\[ \frac{G^{\mathrm{E}}}{R T}=-3 x_{1} x_{2}\left(0.4 x_{1}+0.5 x_{2}\right) \mathrm{J} / \mathrm{mol} \]

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

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