Ja. Gonzalez et al., APPLICATION OF THE ZEROTH APPROXIMATION OF THE DISQUAC MODEL TO CYCLOHEXANE PLUS N-ALKANE MIXTURES USING DIFFERENT COMBINATORIAL ENTROPY TERMS, Fluid phase equilibria, 112(1), 1995, pp. 63-87
Literature data on molar excess functions, Gibbs energy G(E), enthalpy
H-E, and heat capacity C-p(E), on activity coefficients gamma(i)(infi
nity), and partial molar excess enthalpies H-i(E,infinity), at infinit
e dilution and on solid-liquid equilibria, SLE, of the cyclohexane + n
-alkane mixtures are examined on the basis of the zeroth approximation
of the DISQUAC group contribution model. The model provides a quite s
atisfactory description of the thermodynamic properties for the mixtur
es under study, although the symmetry of the calculated excess functio
ns differs from the experimental one for systems containing long-chain
n-alkanes. This may be due to the so-called Patterson effect. The inf
luence of different combinatorial entropy terms (Flory-Huggins, Staver
mann-Guggenheim or Kikic equations) on the prediction of thermodynamic
properties such as G(E), ln gamma(i)(infinity) and SLE is also examin
ed. H-E, C-p(E) or H-i(E,infinity) are represented by an interactional
term only. The results calculated using the Flory-Huggins term are sl
ightly better than those obtained applying the Stavermann-Guggenheim e
quation. Results based on the Kikic expression are poorer than those g
iven by Flory-Huggins, particularly at high concentration of cyclohexa
ne in systems containing the longer n-alkanes. So, the Kikic equation
leads to poorer results for ln gamma(2)(infinity) for these systems. S
LE predictions are determined mainly by the physical constants of the
pure compounds. So, essentially they do not depend on the combinatoria
l term used. A comparison between the zeroth approximation of DISQUAC
and the modified UNIFAC model (Lyngby version) is also presented. Such
comparison shows that both methods lead to similar results; although
the latter gives poorer predictions on the temperature dependence of t
he excess functions than the former. On the other hand, the number of
interaction parameters needed in modified UNIFAC is larger than when t
he zeroth approximation of DISQUAC is applied and, more important, the
y change with the number of carbon atoms of the n-alkane in a rather e
rratic way for the first members of the series. This makes the predict
ive task of UNIFAC more difficult.