Temperature Dependence of the Equilibrium Compositions

If the equilLbrium is to be maintamed as the temperature is changed at constant pressure, then, from Equation (14.68), we conclude that 

If we substitute the appropriate expressions for the partial derivatives in Equation (14.73), we obtain 

The integration of Equation (14.77) for each of the two components leads to the temperature-composition curves of the solid and liquid phases. 

Silverman [2] has presented an analogous analysis of the vapor-liquid equilibrium for an ideal solution. 

Calculate AGm, and A5 i (per mole of benzene) at 298 K for the addition of an infinitesimal quantity of pure benzene to 1 mole of an ideal solution of benzene and toluene in which the mole fraction of the latter is 0.6. 

---

Fig. 15. Temperature dependence of the equilibrium composition of D-ribose in aqueous (D O) solution p and f signify py-ranose and furanose, and Cl and 1C refer to pyranose ring conformations see Fig. 14.

---