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Aspen Physical Property System - Physical Property Models

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It should be understood that equations 6a-8a should be used only in<br />

equations 3, 4, and 7. Ms, ds, and �s were already assumed as constants when<br />

deriving equations 6 and 8 for mixed-solvent systems.<br />

Local Interaction Contribution<br />

The local interaction contribution is accounted for by the Non-Random Two<br />

Liquid theory. The basic assumption of the NRTL model is that the nonideal<br />

entropy of mixing is negligible compared to the heat of mixing: this is indeed<br />

the case for electrolyte systems. This model was adopted because of its<br />

algebraic simplicity and its applicability to mixtures that exhibit liquid phase<br />

splitting. The model does not require specific volume or area data.<br />

The effective local mole fractions Xji and Xii of species j and i, respectively, in<br />

the neighborhood of i are related by:<br />

Where:<br />

Xj = xjCj<br />

Gji<br />

�ji<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 101<br />

=<br />

=<br />

(9)<br />

(Cj = zj for ions and Cj = unity for molecules)<br />

�ji = Nonrandomness factor<br />

gji and gii are energies of interaction between species j and i, and i and i,<br />

respectively. Both gij and �ij are inherently symmetric (gij = gji and �ij = �ji).<br />

Similarly,<br />

Where:<br />

Gji,ki<br />

�ji,ki<br />

=<br />

=<br />

�ji,ki = Nonrandomness factor<br />

Apparent Binary <strong>System</strong>s<br />

(10)<br />

The derivations that follow are based on a simple system of one completely<br />

dissociated liquid electrolyte ca and one solvent B. They will be later extended

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