Helmholtz free energy of mixing

The molar Helmholtz free energy of mixing (appropriate at constant volume) for such a synnnetrical system of molecules of equal size, usually called a simple mixture , is written as a fiinction of the mole fraction v of the component B... 

Reciprocal molten salt systems are those containing at least two cations and two anions. We shall deal with the simplest member of this class, that containing the ions A+, B+, X-, and Y-. The four constituents of the solution, AX, BX, AY, and BY, will be designated by 1, 2, 3, and 4 respectively. There are four ions in the system and one restriction of electroneutrality. Consequently, of the four constituents, there are only three which are independent components. In order to calculate the Helmholtz free energy of mixing conveniently, we must (arbitrarily) choose the three components. Here we choose BX, AY, and BY. This choice requires that in order to make mixtures of some compositions a negative quantity of BY must be used. This presents no difficulty in the theory and is thermodynamically self-consistent. One mole of some arbitrary composition (XA, XB, Yx, XY) can be made by mixing Arx moles of BX (component 2), XA moles of AY (component 3), and (XY — XA) moles of BY (component 4). ... 

Thus the excess Helmholtz free energy of mixing may be calculated from the equation... 

Combining with Eq. (4.10) for the entropy of mixing, we arrive at the Helmholtz free energy of mixing per lattice site ... 

The equation of state, EoS, theories of mixtures are based on the principles discussed in Part 2.31. Formally, the computation of the partition function for a single component or for a mixture of components is similar, yielding the Helmholtz free energy of mixing. 

MFLG DESCRIPTION OF BINARY SYSTEMS A two component system is in the MFLG approximation treated as a pseudo-ternary mixture of constituents 1, 2 and holes (index 0). The appropriate thermodynamic function for the description of fluid phase equilibria is the Helmholtz free energy of mixing vacant and occupied sites, and reads in the simplest version of the model ). 

General Formulas From Eqs. 2.3 and 2.6, the Helmholtz free energy of mixing, per site is given as... 

Fi partial molar Helmholtz free energy of mixing of a component /... 

The derivative of the ideal Helmholtz free energy of mixing with respect to volume is assumed to given by the term in the... 

The Helmholtz free energy of mixing is the sum of entropic and enthalpic contribution according to... 

The specific Helmholtz free energy of mixing / for a binary incompressible kx. x/Cy i-y copolymer blend emerges from the BLCT in the apparently familiar form [95]... 

The thermodynamic expression for the Helmholtz free energy of mixing of a DPD binary fluid is given by Equation 21.8. The first term on the right-hand side of... 

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