The phase equilibria of the n-alkanes and the
1-alkanols have been calculated with the Lennard-Jones−SAFT (statistical association fluid theory) equation of state of
Müller and Gubbins. This
equation includes contributions from a dipole−dipole term, a modified
association term, a chain
term, and a Lennard-Jones term to account for monomer dispersion and
overlap interactions.
The influence of electrostatic forces due to the dipole moment has
been investigated, and a simple
treatment of the polarizability has been tested. It is shown by
comparison with some sample
calculations based on the renormalized perturbation theory that this
approach is reasonable.
The calculated phase equilibria are in good agreement with
experimental data. The deviation
between calculated and experimental data is significantly lower than
for the original SAFT
equation of state and a recently published chemical
theory.
The Lennard-Jones−statistical association fluid
theory (LJ−SAFT) is applied to binary mixtures
containing one self-associating and one nonassociating substance.
The binary systems studied
here are n-alkane/n-alkane,
1-alkanol/n-alkane, and water/n-alkane mixtures.
For cases where
the dipole−dipole term is needed, the influence of induction is also
investigated. The results
with LJ−SAFT exhibit better agreement with experimental data than
SAFT. This improvement
is due to the exchange of the hard-sphere reference system by the LJ
reference system.
Empirical thermal cohesion functions, R(T r ), are frequently used in conventional equations of state (EOS) for fitting the vapor pressures of pure fluids. Accurate vapor pressure predictions are required for correlating and/or predicting the phase equilibrium and interfacial tension of multicomponent mixtures. This is the case for the Redlich-Kwong-Soave and Peng-Robinson models, two well-established models for engineering applications. In this work, we demonstrate that, in the case of pure fluids, the R(T r ) function can potentially predict multiple mechanically stable critical points, thus affecting the global topology of phase equilibrium predictions. A detailed analysis, based on the consistency of the prediction of the Joule-Thomson inversion curve, reveals that these predictions are not reliable from a physical point of view. In fact, conventional cubic EOS are able to predict multiple Joule-Thomson inversion curves, a behavior symptomatic of the prediction of multiple stable critical points for pure fluids. Similar pitfalls have been detected in theoretically based EOS such as SAFT and the model proposed by Johnson et al.
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