ABSTRACT
As discussed in Chapter 8, the study of phase and chemical equilibrium requires knowledge of the chemical potentials of the components of a mixture at the temperature, T, of the system. A convenient starting point to calculate chemical potentials is Equation 7.8, which indicates that at constant pressure and temperature the chemical potentials of the compounds in the mixture have fixed values. This result is in agreement with the conclusion obtained in Chapter 9, from the application of the phase rule to a single phase multicomponent mixture of fixed composition. This system has two degrees of freedom, and fixing the temperature and pressure, the system is completely specified. We also recall that, in principle, in Equation 7.8 the composition dependence of the chemical potential is hidden in the functionality of the partial molar properties https://www.w3.org/1998/Math/MathML"> v ¯ i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315399065/5df30985-80c1-4e11-9533-10c20ed2604c/content/in11_u001.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and https://www.w3.org/1998/Math/MathML"> s ¯ i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315399065/5df30985-80c1-4e11-9533-10c20ed2604c/content/in11_u002.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . Thus, at constant temperature Equation 7.8 reads https://www.w3.org/1998/Math/MathML"> d μ i , T = v ¯ i d P https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315399065/5df30985-80c1-4e11-9533-10c20ed2604c/content/equ11_01.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
