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Aspen Physical Property System - Physical Property Models

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The reference Gibbs energy is determined for the reference states of<br />

completely dissociated liquid electrolyte and of pure solvent. The reference<br />

Gibbs energies per mole are then:<br />

Where:<br />

zc = Charge number on cations<br />

za = Charge number on anions<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 103<br />

(20)<br />

(21)<br />

(22)<br />

The molar excess Gibbs energy can be found by summing all changes in<br />

residual Gibbs energy per mole that result when the electrolyte and solvent in<br />

their reference state are mixed to form the existing electrolyte system. The<br />

expression is:<br />

(23)<br />

Using the previous relation for the excess Gibbs energy and the expressions<br />

for the residual and reference Gibbs energy (equations 17 to 19 and 20 to<br />

22), the following expression for the excess Gibbs energy is obtained:<br />

(24)<br />

The assumption of local electroneutrality applied to cells with central solvent<br />

molecules may be stated as:<br />

Combining this expression with the expression for the effective local mole<br />

fractions given in equations 9 and 10, the following equality is obtained:<br />

(25)<br />

(26)<br />

The following relationships are further assumed for nonrandomness factors:<br />

and,<br />

It can be inferred from equations 9, 10, and 26 to 29 that:<br />

(27)<br />

(28)<br />

(29)<br />

(30)<br />

(31)

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