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Aspen Physical Property System - Physical Property Models

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2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 121<br />

(15)<br />

(16)<br />

where I is the component index, i is the segment index, ri,I is the number of<br />

segment i in component I, xI is the mole fraction of component I, xi is the<br />

segment fraction of segment i, and ns is the total number of all segments in<br />

the system.<br />

Since there is only a single 1-1 electrolyte segment, the pair parameters<br />

between a molecular segment and the electrolyte segment can be simplified<br />

as follows:<br />

We can then rewrite the excess Gibbs free energy as follows:<br />

with<br />

(17)<br />

(18)<br />

(19)<br />

(20)<br />

(21)<br />

(22)<br />

The local composition contribution to the segment activity coefficient can be<br />

calculated as follows:<br />

(23)<br />

The local composition contribution to the activity coefficients for molecular<br />

segments, the cationic segment, and the anionic segment can be calculated<br />

out as follows:

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