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Aspen Physical Property System - Physical Property Models

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Binary Parameters<br />

158 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

(27)<br />

The adjustable binary parameters for these models include moleculemolecule,<br />

molecule-electrolyte, and electrolyte-electrolyte binary parameters,<br />

where electrolyte here means an ion-pair composed of a cationic species and<br />

an anionic species. For each of these types, there are asymmetric binary<br />

interaction energy parameters, �, and symmetric non-random factor<br />

parameters, � (for calculating G). That is to say that the following are the<br />

adjustable parameters:<br />

(28)<br />

However, as seen in the preceding equations, we need these parameters for<br />

molecule-molecule, molecule-cation, molecule-anion, and cation-anion pairs.<br />

The molecule-molecule parameters are given directly by the model's<br />

adjustable binary parameters. The remaining parameters �cm, �am, �mc, �ma,<br />

�ca, �ac, �cm, �am, �mc, �ma, �ca, and �ac, are calculated from these parameters.<br />

The � parameters for pairs involving cations and anions are calculated from<br />

the adjustable binary parameters by applying a simple composition-average<br />

mixing rule.<br />

(29)<br />

(30)<br />

(31)<br />

(32)<br />

where Yc is a cationic charge composition fraction and Ya is an anionic charge<br />

composition fraction, defined as follows:<br />

(33)

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