Abstract
The thermodynamic approach for the description of multiphase open phase processes is developed based on van der Waals equation in the metrics of Gibbs and incomplete Gibbs potentials. Examples of thermodynamic modeling of the multiphase and multicomponent A3B5 systems (In-Ga-As-Sb and In-P-As-Sb) and Na+, K+, Mg2+, Ca2+//Cl−, SO42−-H2O water–salt system are presented. Topological isomorphism of different type phase diagrams is demonstrated.
Highlights
It is common knowledge that conditions of phase equilibria shifts can be expressed in different mathematical forms, for example, as equality of the intense parameters of state first differentials in equilibrium (α, β) phases: dT(α) = dT(β) ; dP(α) = dP(β) ; dμi (α) = dμi (β) [1]
We can obtain the similar result based on differential equation of open phase process (Equation (14) and van der Waals equation in the metric of Korjinskiy potential (Equation (6)):
Such peculiarities in phase diagrams take place in the following cases: fusibility diagrams of ternary systems; three-phase equilibrium curves in ternary systems, when figurative points of both liquids and vapor phases belong to the straight line; lines corresponding to equilibrium of the two different polymorph modifications of component and melt in ternary systems; and geometrical images, where the reduced compositions of the phases are linearly dependent (have extremum ofP,T )
Summary
It is common knowledge that conditions of phase equilibria shifts can be expressed in different mathematical forms, for example, as equality of the intense parameters of state first differentials (temperature, pressure and chemical potentials of components) in equilibrium (α, β) phases: dT(α) = dT(β) ; dP(α) = dP(β) ; dμi (α) = dμi (β) [1] According to these conditions, van der Waals developed the differential equation for the description of phase equilibria shifts in the two-phase binary system [2]. The manuscript is organized as follows: We first describe generalized differential equation of phase equilibrium shifts, van der Waals Equation and common differential equations of open phase processes in isothermal, isobaric and isothermo-isobaric conditions, both in vector-matrix form in the metrics of complete and incomplete Gibbs potentials. Generalized Differential Equation of Phase Equilibrium Shifts (Van Der Waals Equation in Vector-Matrix Form)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
