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Aspen Physical Property System - Physical Property Models

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Ionic components with symmetric reference state<br />

Applying Eq. 10, the symmetric activity coefficients for ionic components from<br />

the long range contribution are given as follows:<br />

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

126 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

(54)<br />

(55)<br />

(56)<br />

Ionic components with infinite dilution aqueous solution<br />

Applying Eq. 12, the unsymmetric activity coefficients for ionic components<br />

from the long range contribution in aqueous solutions are given as follows:<br />

Segment based Born correction term to activity coefficient<br />

(57)<br />

(58)<br />

If the infinite dilution aqueous solution is chosen as the reference state, we<br />

need to correct the change of the reference state from the mixed-solvent<br />

composition to aqueous solution for the Debye-Hückel term. The Born term<br />

(Robinson and Stokes, 1970; Rashin and Honig, 1985) is used for this<br />

purpose:<br />

where ri is the Born radius of segment species i and �w is the dielectric<br />

constant of water. �G Born is the Born term correction to the unsymmetric<br />

Pitzer-Debye-Hückel formula G ex,PDH .<br />

The Born correction activity coefficient of component i can be derived as<br />

follows:<br />

(60)<br />

For a molecular segment, the correction to the activity coefficient is zero:<br />

(61)<br />

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

carried out as follows:<br />

(59)

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