Temperature coefficient of the chemical potential

The chemical potential difference —ju may be resolved into its heat and entropy components in either of two ways the partial molar heat of dilution may be measured directly by calorimetric methods and the entropy of dilution calculated from the relationship A i = (AHi —AFi)/T where AFi=/xi —/x or the temperature coefficient of the activity (hence the temperature coefficient of the chemical potential) may be determined, and from it the heat and entropy of dilution can be calculated using the standard relationships... 

No heat is evolved when pure components that form an ideal solution are mixed. The validity of this statement can be shown from consideration of the temperature coefficient of the chemical potential. Again, from Equation (14.6) at fixed mole fraction. 

In this chapter, we shall consider the methods by which values of partial molar quantities and excess molar quantities can be obtained from experimental data. Most of the methods are applicable to any thermodynamic property J, but special emphasis will be placed on the partial molar volume and the partial molar enthalpy, which are needed to determine the pressure and temperature coefficients of the chemical potential, and on the excess molar volume and the excess molar enthalpy, which are needed to determine the pressure and temperature coefficients of the excess Gibbs function. Furthermore, the volume is tangible and easy to visualize hence, it serves well in an initial exposition of partial molar quantities and excess molar quantities. 

Charge number (of a type i of particles, cations, anions) (16, 535) Temperature coefficient of the chemical potential (of a substance B) (131)... 

Since (3 2) is an identity it is permissible to equate the partial differential coefficients of the left-hand and right-hand sides.f Thus from the equation we obtain the pressure and temperature coefficients of the chemical potential of a perfect gas... 

---