Using the Wilson and NRTL equations, estimate the activity coefficients of the components of a binary system consisting of toluene (1) and cyclohexane (2) at \(60^{\circ} \mathrm{C}\) and \(x_{1}=0.4\). At this temperature, the molar volumes of the components are \(V_{1}=75.2\) \(\mathrm{cm}^{3} / \mathrm{mol}\) and \(V_{2}=20.34 \mathrm{~cm}^{3} / \mathrm{mol}\).

Data given for Wilson equation:

\[ \begin{aligned} & a_{12}=312.33 \mathrm{cal} / \mathrm{mol} \\ & a_{21}=1678.32 \mathrm{cal} / \mathrm{mol} \end{aligned} \]

NRTL equation:

\[ \begin{aligned} b_{12} & =682.21 \mathrm{cal} / \mathrm{mol} \\ b_{21} & =1231.47 \mathrm{cal} / \mathrm{mol} \\ \alpha & =0.568 \end{aligned} \]