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Aspen Physical Property System - Physical Property Models

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Where:<br />

xca = Apparent mole fraction of electrolyte ca<br />

Vca = Liquid molar volume for electrolyte ca<br />

The mole fractions xca are reconstituted arbitrarily from the true ionic<br />

concentrations, even if you use the apparent component approach. This<br />

technique is explained in Electrolyte Calculation in <strong>Physical</strong> <strong>Property</strong> Methods.<br />

The result is that electrolytes are generated from all possible combinations of<br />

ions in solution. The following equation is consistently applied to determine<br />

the amounts of each possible apparent electrolyte nca:<br />

Where:<br />

198 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

(3)<br />

(4)<br />

(5)<br />

(6)<br />

(7)<br />

nca = Number of moles of apparent electrolyte ca<br />

zc = Charge of c<br />

zfactor = zc if c and a have the same number of<br />

charges; otherwise 1.<br />

nc = Number of moles of cation c<br />

na = Number of moles of anion a<br />

For example: given an aqueous solution of Ca 2+ , Na + , SO4 2- , Cl - four<br />

electrolytes are found: CaCl2, Na2SO4, CaSO4, and NaCl. The Clarke<br />

parameters of all four electrolytes are used. You can rely on the default,<br />

which calculates the Clarke parameters from ionic parameters. Otherwise, you<br />

must enter parameters for any electrolytes that may not exist in the<br />

components list. If you do not want to use the default, the first step in using<br />

the Clarke model is to add any needed components for electrolytes not in the<br />

components list.<br />

True Component Approach<br />

The true molar volume is obtained from the apparent molar volume:

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