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

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

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., $1955,51,1183).$

$($a$)$ Fit the data at $x_G=0\mathrm{.}1305$ to $ln{}_w=B{x}_G^2.$ Then calculate pressure for $x_G=0\mathrm{.}1954$ to

demonstrate that the fit represents the data.

$($b$)$ The solubility of glucose is $H2O$ at $35C$ is $58\mathrm{.}18wt\%.$ Using the model fitted in part $($a$),$ what

is the activity of glucose at saturation, using $ln{}_w=B{x}_G^2?$

$($c$)$ What can you say about the activity of glucose in other solvents that are saturated at $35C?$This exercise will take us through the process of modeling glucose solubility in ethanol $+$ water mixtures at $35$C $.$ 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 $=18\mathrm{.}02($g$)/($m$)$ol $.$ Method: We will use the Margules because it is simple and the system is isothermal. The equilibrium relation is ln$($x$\_(2)\backslash$gamma $\_(2))=(-\backslash$Delta $($H$\_(2)^($fus$))/($R$))((1)/($T$)-(1)/($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., $1955,51,1183).[[$x$\_($G$),$P$($mmHg$),$x$\_($G$),$P$($mmHg$)$