Chapter 6 : Solution Thermodynamics and Principles of Phase Equilibria
Section 5 : Ideal Gas Mixtures and Liquid Solutions
On applying the partial molar property operation (as given by eqn. 6.4) on 6.58, it may be shown that:
(6.68)
It further follows:
(6.69)
For Gibbs free energy relation we start from:
For an ideal gas mixture:
(6.70)
Taking the partial molar property derivative:
(6.71)
On putting eqns. 6.58 and 6.59 into 6.71 we get the following relation for the chemical potential of each species in an ideal gas mixture:
(6.72)
Using eqns. 6.51 and 6.58, it may be also shown that:
(6.73)
Example 6.3
What is the change in entropy when 0.6 m3 of CO2 and 0.4 m3 of N2, each at 1 bar and 250C blend to form a gas mixture at the same conditions? Assume ideal gases. (Click for solution)