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Aspen Physical Property System - Physical Property Models

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Therefore, the simplified Pitzer equation has two types of binary interaction<br />

parameters, � 's and �''s. There are no ternary interaction parameters with<br />

the simplified Pitzer equation.<br />

Note that the Pitzer model parameter databank described in <strong>Physical</strong> <strong>Property</strong><br />

Data, Chapter 1, is not applicable to the simplified Pitzer equation.<br />

A built-in empirical correlation estimates the � (0) and � (1) parameters for<br />

cation-anion pairs from the Bromley ionic parameters, �ion and �ion (Bromley,<br />

1973). The estimated values of � (0) 's and � (1) 's are overridden by the user's<br />

input. For parameter naming and requirements, see Bromley-Pitzer Activity<br />

Coefficient Model.<br />

References<br />

L.A. Bromley, "Thermodynamic Properties of Strong Electrolytes in Aqueous<br />

Solution, " AIChE J., Vol. 19, No. 2, (1973), pp. 313 – 320.<br />

W. Fürst and H. Renon, "Effects of the Various Parameters in the Application<br />

of Pitzer's Model to Solid-Liquid Equilibrium. Preliminary Study for Strong 1-1<br />

Electrolytes," Ind. Eng. Chem. Process Des. Dev., Vol. 21, No. 3, (1982),<br />

pp. 396-400.<br />

Parameter Conversion<br />

For n-m electrolytes, n and m>1 (2-2, 2-3, 3-4, and so on), the parameter<br />

� (3) corresponds to Pitzer's � (1) ; � (2) is the same in both <strong>Aspen</strong> <strong>Physical</strong><br />

<strong>Property</strong> <strong>System</strong> and original Pitzer models. Pitzer refers to the n-m<br />

electrolyte parameters as � (1) , � (2) , � (0) . � (0) and � (2) retain their meanings in<br />

both models, but Pitzer's � (1) is <strong>Aspen</strong> <strong>Physical</strong> <strong>Property</strong> <strong>System</strong> � (3). Be<br />

careful to make this distinction when entering n-m electrolyte parameters.<br />

Chien-Null<br />

The Chien-Null model calculates liquid activity coefficients and it can be used<br />

for highly non-ideal systems. The generalized expression used in its derivation<br />

can be adapted to represent other well known formalisms for the activity<br />

coefficient by properly defining its binary terms. This characteristic allows the<br />

model the use of already available binary parameters regressed for those<br />

other liquid activity models with thermodynamic consistency.<br />

The equation for the Chien-Null liquid activity coeficient is:<br />

Where:<br />

Rji = Aji / Aij<br />

Aii = 0<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 89

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