The activity coefficients of two components of a solution are given by (ln gamma_{1}=A x_{2}^{2}+B x_{2}^{2}left(3 x_{1}-x_{2}

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The activity coefficients of two components of a solution are given by

\(\ln \gamma_{1}=A x_{2}^{2}+B x_{2}^{2}\left(3 x_{1}-x_{2}\right)\) and \(\ln \gamma_{2}=A x_{1}^{2}+B x_{1}^{2}\left(x_{1}-3 x_{2}\right)\)

Find expressions for \(\frac{G^{\mathrm{E}}}{R T}\) and show that the equations satisfy the Gibbs-Duhem relation.

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