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Aspen Physical Property System - Physical Property Models

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References<br />

L. Haar, J.S. Gallagher, and J.H. Kell, "NBS/NRC Steam Tables," (Washington:<br />

Hemisphere Publishing Corporation, 1984).<br />

Nothnagel<br />

The Nothnagel equation-of-state calculates thermodynamic properties for the<br />

vapor phase. It is used in property methods NRTL-NTH, UNIQ-NTH, VANL-<br />

NTH, and WILS-NTH. It is recommended for systems that exhibit strong vapor<br />

phase association. The model incorporates the chemical theory of<br />

dimerization to account for strong association and solvation effects, such as<br />

those found in organic acids, like acetic acid. The equation-of-state is:<br />

Where:<br />

b =<br />

bij<br />

=<br />

nc = Number of components in the mixture<br />

The chemical reaction for the general case of a mixture of dimerizing<br />

components i and j is:<br />

The chemical equilibrium constant for the dimerization reaction on pressure<br />

basis Kp is related to the true mole fractions and fugacity coefficients:<br />

Where:<br />

yi and yj = True mole fractions of monomers<br />

yij = True mole fraction of dimer<br />

�i = True fugacity coefficient of component i<br />

Kij = Equilibrium constant for the dimerization of i and j, on a<br />

pressure basis<br />

When accounting for chemical reactions, the number of true species n t in the<br />

mixture changes. The true molar volume V/n t<br />

is calculated from the<br />

equation-of-state. Since both V and n t change in about the same proportion,<br />

this number does not change much. However, the reported molar volume is<br />

the total volume over the apparent number of species: V/n a . Since the<br />

apparent number of species is constant and the total volume decreases with<br />

2 Thermodynamic <strong>Property</strong> <strong>Models</strong> 33

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