25.12.2012 Views

Aspen Physical Property System - Physical Property Models

Aspen Physical Property System - Physical Property Models

Aspen Physical Property System - Physical Property Models

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

and for n-m electrolytes:<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 143<br />

(15)<br />

The parameters � (0) , � (1) , � (2) , � (3) and also C, �, and � can be found in<br />

Pitzer's articles .<br />

After the activity coefficients are calculated, they can be converted to the<br />

mole fraction scale from the molality scale by the following relations:<br />

For solutes:<br />

For water as a solvent:<br />

Where:<br />

�m = Activity coefficient (molality scale)<br />

�x = Activity coefficient (mole fraction scale)<br />

(16)<br />

(17)<br />

Application of the Pitzer Model to Aqueous<br />

Electrolyte <strong>System</strong>s with Molecular Solutes<br />

In aqueous weak electrolyte systems with molecular solutes, the second and<br />

third virial coefficients in the basic Pitzer equation for molecule-ion and<br />

molecule-molecule interactions must be considered. The following extensions<br />

of Pitzer's interaction parameters are made.<br />

The second-order parameters Bij are extended to include molecule-molecule<br />

and molecule-ion interaction parameters.<br />

The third-order parameters �ijk are extended to molecule-molecule-molecule<br />

interactions. The following expressions relate �ijk to Pitzer's original �ijk:<br />

�iii = 6�iii<br />

However, molecule-molecule interactions were not taken into account by<br />

Pitzer and coworkers. So �iii is an artificially introduced quantity.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!