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Aspen Physical Property System - Physical Property Models

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NRTL-SAC Reference States<br />

The NRTL-SAC activity coefficient model for component I is composed of the<br />

local composition term, ln �I lc , the Pitzer-Debye-Hückel long-range interaction<br />

term, ln �I PDH , and the Flory-Huggins term, �I FH :<br />

This equation needs to be normalized based on the reference states of<br />

molecular and ionic components.<br />

Reference state for molecular components<br />

The reference state for a molecular component is defined as follows:<br />

This definition is the so-called standard state of pure liquids for molecular<br />

components and it is also called the symmetric reference state for molecular<br />

components.<br />

Reference state for ionic components<br />

The standard state of pure liquids is hypothetical for ionic components in<br />

electrolyte systems. The symmetric reference state is defined as the pure<br />

fused salt state of each electrolyte component in the system.<br />

However, the conventional reference state for ionic components is the<br />

infinite-dilution activity coefficient in pure water; it is also called the<br />

unsymmetric reference state for ionic components. In NRTL-SAC model, we<br />

will consider both of these reference states; the unsymmetric state is the<br />

default.<br />

Pure fused salt state of an electrolyte component<br />

For an electrolyte component CA, the pure fused salt state can be defined as<br />

follows:<br />

where �± is the mean ionic activity coefficient of the electrolyte component<br />

and is related to the corresponding cationic and anionic activity coefficients �C<br />

and �A by this expression:<br />

where �C is the cationic stoichiometric coefficient and �A is the anionic<br />

stoichiometric coefficient, and �=�C+�A (one mole of salt releases � moles of<br />

ions in solution). They are given by the chemical equation describing the<br />

dissociation of the electrolyte. Therefore Eq. 5 can be written in terms of<br />

charge numbers zC and zA:<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 119<br />

(1)<br />

(2)<br />

(3)<br />

(4)<br />

(5)

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