Molar free energy of mixing

When the formation of one mole of the solution is considered, the integral molar free energy of mixing, AGM, is given by... 

The equality of aA and PA/PA has been explained earlier. It may be recalled that the activity of the component A in the solution is defined by this equality. For the binary solution A-B, the integral molar free energy of mixing is then... 

The partial and integral molar free energies of mixing are, therefore, given by AG, d = R TlnXA AG, d = R TlnXB AGM,id = RT(XA lnXA + XB lnXB)... 

The nearest-neighbor interaction coefficient, W = EAA + Ebb 2EAB, and the temperature together characterize the molar free energy of mixing ... 

Gj -G° is the change in molar free energy of / due to the change in state from the standard state to the state of solution of a particular composition. This is called the partial molar free energy of mixing or relative partial molar free energy of i and is designated... 

This is called the relative integral molar free energy or the molar free energy of mixing. Hie method of tangential intercepts which we have applied for determination of partial molar quantities from the integral molar quantities can also apply to the relative quantities ... 

The Flory-Huggins theory is generally applied to define the thermodynamic properties of a polymer solution (I). It gives an expression for experimentally obtainable quantities such as the partial molar free energy of mixing. 

In case of a solution, like the FeO-MnO solid solution, the integral molar free energy of mixing would be related to the partial molar values, as per their definition, in the following manner ... 

The contribution to the partial molar free energy arising from the residual (enthalpic and non-conformational entropic) partial molar free energy of mixing of the two monomers is small relative to all other terms in the monomer droplet phase. 

The molar free energy of mixing, AG of a silicate is represented by the expression... 

The colloidal stability (or diffusional degradation) of monomer droplets can be further understood in terms of the Morton equation [48], in which the partial molar free energy of mixing of polymer in the monomer phase (spherical droplets) is expressed as ... 

For convenience, thermodynamic systems are usually assumed closed, isolated from the surroundings. The laws that govern such systems are written in terms of two types of variables intensive (or intrinsic) that do not depend on the mass and extensive that do. By definition, extensive variables are additive, that is, their value for the whole system is the sum of their values for the individual parts. For example, volume, entropy, and total energy of a system are extensive variables, but the specific volume (or its reciprocity - the density), molar volume, or molar free energy of mixing are intensive. It is advisable to use, whenever possible, intensive variables. 

Mass number of peak adjacent to peak with mass number M Partial molar free energy of mixing Partial molar heat of mixing... 

Firstly Patterson et al. [10] calcidated "Yrt 12 3 nd Zfj for n-dodecane-branched polyethylene and -decaue-linear polyethylene systems to show how the interaction parameter may be calculated from chromatographic data. In the same year Hammers and de Ligny [57] determined X12 for -pentane-, benzene-, cyclochexane- and n-oetane-polyisobutylene systems from standard residual partial molar free energies of mixing at infinite dilution. Comparison of data extrapolated at 25 0 with those obtained from swelling and vapour pressure measurements at the same temperature [74—78] extrapolated to [Pg.143]

The global solubility parameters of polymers were determined from partial molar enthalpies of mixing [60, 71, 72], from partial molar free energies of mixing [60] and from the polymer-solute interactions parameters [60, 68, 101, 108, 109] all these functions were obtained by GLC. For normal, branched and cyclic alkanes, aromatic hydrocarbons and tetraline in polystyrene, eqns (5.40) and (5.42) yield Sj = 7.6 0.2 and 82 = 7.4 i 0.4 cali/2 "cm /z [60] at an average column temperature of 193°C. The same substances in poly(methyl acrylate) give 82 = 8.7 0.3... 

The partial molar free energy of mixing of a component i in a given phase is generally given by ... 

We stipulate that for a component i which equilibrates itself between phases (a), (b) and (c) the partial molar free energy of mixing must be the same in every phase, i.e. ... 

Calculate the partial molar free energies of mixing of chromium and of titanium in a solution containing 0.47 mole fraction of Cr at 1380°C (16SZ K). 

G. - gV) is called the partial molar free energy of mixing, or relative partial molar free energy of component i, and is denoted by G.. Thus, Eq.(7.3) takes the shape... 

The partial molar free energies of mixing of zinc and cadmium can be calculated with the help of Eg.(7.19), and thus... 

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