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Aspen Physical Property System - Physical Property Models

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For a molecular segment, the activity coefficient can be carried out as follows:<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 125<br />

(47)<br />

For the univalent cation or anion segment, the activity coefficient can be<br />

carried out as follows:<br />

(48)<br />

The original Debye-Hückel theory is based on a single electrolyte with water<br />

as the solvent. The molar volume v and the dielectric constant � for the<br />

single solvent water need to be extended for mixed-solvents based on the<br />

molecular solvent properties; a simple composition average mixing rule is<br />

proposed to calculate them as follows:<br />

where S is a solvent component, MS is the solvent molecular weight, and each<br />

sum is over all solvent components in the solution.<br />

The long range interaction term for the logarithm of the activity coefficient of<br />

component I is computed as the sum of the individual segment contributions.<br />

Molecular components<br />

(49)<br />

(50)<br />

(51)<br />

For molecular components, the activity coefficients are given as follows:<br />

(52)<br />

From Eq. 47, it is easy to show that the PDH term activity coefficients for all<br />

molecular components are normalized; that is<br />

where I applies to all molecular components in the system.<br />

(53)

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