Thermodynamics partial mass chemical potential

It is sometimes convenient to reformulate the generalized diffusional driving forces dg either in terms of mass or molar functions, using the partial mass Gibbs free energy definition, Gg = hg —Tsg, and the chain rule of partial differentiation assuming that the chemical potential (i.e., /Xg = Gg) is a function of temperature, pressure and concentration (Slattery [89], sect. 8.4). dg can then be expressed in several useful forms as listed below. Expressing the thermodynamic functions on a mass basis we may write ... 

One of the aims of this chapter is to relate the concentration of defects to temperature and other externally imposed thermodynamic parameters such as oxygen partial pressure, a goal that is now almost at hand. This is accomplished by considering defects to be structural elements which possess a chemical potential and hence activity and expressing their equilibrium concentrations by a mass action expression similar to Eq. (5.30) ... 

The fundamentals of liquid/liquid extraction are provided by the thermodynamic theory of equilibrium. Two immiscible liquid partial systems 1 and 2 are in equilibrium when all mass-, energy-, and impulse-transfer processes have come to a stop, that is, when the chemical potential, temperature, and pressure are the same in both phases. If Equation (2.3.4-1) is set up for a component E in phase 1 or 2, then the chemical potential describes the state of the pure component E with the properties of the ideal dilute solution ... 

---