Partial 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... 

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. 

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 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 ... 

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... 

The first term in Equation (3.44) can be considered the ideal term as this is equivalent to the value of AGi for an ideal solution. The other terms, therefore, represent deviations from ideality and contribute to the excess partial molar free energy of mixing. For dilute solutions terms in or higher powers will be negligible and so it follows by comparing Equation (3.40) with non-ideal terms in Equation (3.44) that... 

It is possible, in a similar way, to derive an expression relating the osmotic pressure of a polymer solution to the molar mass of the polymer. In Section 3.1.7 it was shown that the partial molar free energy of mixing is given by the Flory-Huggins theory as... 

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