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Aspen Physical Property System - Physical Property Models

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other related to the local interactions that exist at the immediate<br />

neighborhood of any central species.<br />

The unsymmetric Pitzer-Debye-Hückel model and the Born equation are used<br />

to represent the contribution of the long-range ion-ion interactions, and the<br />

Non-Random Two Liquid (NRTL) theory is used to represent the local<br />

interactions. The local interaction contribution model is developed as a<br />

symmetric model, based on reference states of pure solvent and pure<br />

completely dissociated liquid electrolyte. The model is then normalized by<br />

infinite dilution activity coefficients in order to obtain an unsymmetric model.<br />

This NRTL expression for the local interactions, the Pitzer-Debye-Hückel<br />

expression, and the Born equation are added to give equation 1 for the<br />

excess Gibbs energy (see the following note).<br />

This leads to<br />

Note: The notation using * to denote an unsymmetric reference state is wellaccepted<br />

in electrolyte thermodynamics and will be maintained here. The<br />

reader should be warned not to confuse it with the meaning of * in classical<br />

thermodynamics according to IUPAC/ISO, referring to a pure component<br />

property. In fact in the context of G or �, the asterisk as superscript is never<br />

used to denote pure component property, so the risk of confusion is minimal.<br />

For details on notation, see Chapter 1 of <strong>Physical</strong> <strong>Property</strong> Methods.<br />

References<br />

C.-C. Chen, H.I. Britt, J.F. Boston, and L.B. Evans, "Local Compositions Model<br />

for Excess Gibbs Energy of Electrolyte <strong>System</strong>s: Part I: Single Solvent, Single<br />

Completely Dissociated Electrolyte <strong>System</strong>s:, AIChE J., Vol. 28, No. 4, (1982),<br />

p. 588-596.<br />

C.-C. Chen, and L.B. Evans, "A Local Composition Model for the Excess Gibbs<br />

Energy of Aqueous Electrolyte <strong>System</strong>s," AIChE J., Vol. 32, No. 3, (1986), p.<br />

444-459.<br />

B. Mock, L.B. Evans, and C.-C. Chen, "Phase Equilibria in Multiple-Solvent<br />

Electrolyte <strong>System</strong>s: A New Thermodynamic Model," Proceedings of the 1984<br />

Summer Computer Simulation Conference, p. 558.<br />

B. Mock, L.B. Evans, and C.-C. Chen, "Thermodynamic Representation of<br />

Phase Equilibria of Mixed-Solvent Electrolyte <strong>System</strong>s," AIChE J., Vol. 32, No.<br />

10, (1986), p. 1655-1664.<br />

Long-Range Interaction Contribution<br />

The Pitzer-Debye-Hückel formula, normalized to mole fractions of unity for<br />

solvent and zero for electrolytes, is used to represent the long-range<br />

interaction contribution.<br />

98 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

(1)<br />

(2)

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