This exercise will take us through the process of modeling glucose solubility in ethanol $+$ water mixtures at $35C.$ In some cases, limited data are available. The heat of fusion of glucose is not available.

Goal: Predict glucose solubility in ternary mixtures from binary measurements. Molecular weights are: Glucose $=180\mathrm{.}16,$EtOH$=46\mathrm{.}07,$ Water $=18\mathrm{.}02\frac{g}{m}ol.$

Method: We will use the Margules because it is simple and the system is isothermal. The equilibrium relation is

$ln(x_2{}_2)=(-\frac{H_2^{\text{f}\text{u}\text{s}}}{R})(\frac{1}{T}-\frac{1}{T_{m,2}})$

I. Binary Glucose $+$ Water

The following data are available for total pressure of a water $+$ glucose solution from J$.$B$.$ Taylor and J$.$S$.$ Rowlinson $($Trans$.$ Farad. Soc., $1955,51,1183).$

$\backslash$table$[[x_G,P(mmHg),x_G,P(mmHg)$