CH ENGR 102A Lecture Notes - Lecture 8: Gibbs Free Energy, Joule, Feasible Region
Document Summary
Proof of chemical potential equality for multireaction multiphase equilibrium. Consider the following optimization problem: min x r n s t f x. 0 f x x h x i g x g. 1 j j i h x i x j j j. 1, m p p p x g x j. This minimization problem can be stated as follows: 1,1 s t a i k j n. However the total gibbs free energy of the system. 1,1 j k can be expressed in terms of the total gibbs free energies. G t p n of the individual phases as follows: For fixed ,t p , the total gibbs free energy. G t p n of phase k, is a first order homogeneous function of k. , then yields a formula for molar gibbs free energy k. 1 p where x l j k p n l j n l p n.
