Density and speed of sound of (iodobenzene + n-alkane) liquid mixtures at $T$ = (288.15 to 308.15) K. Application of the Prigogine-Flory-Patterson model

Fernando Hevia, Daniel Lozano-Martín, Juan Antonio González, Luis Felipe Sanz, Isaías García de la Fuente, José Carlos Cobos
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Abstract

(Iodobenzene + n-alkane) liquid mixtures have been studied experimentally, in terms of densities and speeds of sound at a pressure $p$ = 0.1 MPa and in the temperature range $T$ = (288.15 to 308.15) K, and theoretically, by the application of the Prigogine-Flory-Patterson (PFP) model. The n-alkanes considered are n-heptane, n-decane, n-dodecane, and n-tetradecane. Excess molar volumes ($V_{\text{m}}^{\text{E}}$) and excess isentropic compressibilities ($\kappa_S^{\text{E}}$) have been calculated and correlated by Redlich-Kister polynomials. ${(\partial{V_{\text{m}}^{\text{E}}}/\partial T)}_p$ curves at the same (p,T) conditions have been obtained from correlated $V_{\text{m}}^{\text{E}}$ values. From these experimental results and the knowledge of the excess molar enthalpies and volumes of mixtures containing fluorobenzene, chlorobenzene or bromobenzene with n-alkanes, we have inferred: (i) the presence of structural effects, especially important for the n-heptane mixture and less relevant for volumetric properties as the length of the n-alkane increases; and (ii) that the interactional effects on $V_{\text{m}}^{\text{E}}$ do not vary appreciably with the length of the n-alkane, so the observed $V_{\text{m}}^{\text{E}}$ variation is fundamentally determined by the corresponding variation of the contribution from structural effects. The application of the PFP model supports this interpretation, providing free volume contributions to $V_{\text{m}}^{\text{E}}$ that vary parallelly to $V_{\text{m}}^{\text{E}}$ with the length of the n-alkane, and interactional contributions that rest approximately constant independently of the n-alkane size.
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T$ = (288.15 至 308.15) K 时(碘苯 + 正烷烃)液体混合物的密度和声速。
(通过实验研究了(碘苯 + 正构烷烃)液体混合物在压力 $p$ = 0.1 MPa 和温度 $T$ = (288.15 至 308.15) K 范围内的密度和声速,并应用 Prigogine-Flory-Patterson (PFP) 模型进行了理论研究。考虑的正构烷烃有正庚烷、正癸烷、正十二烷和正十四烷。过量摩尔体积($V_{\text{m}}^{\text{E}}$)和过量等熵压缩率($\kappa_S^{\text{E}}$)通过 Redlich-Kisterpolynomials 进行计算和关联。根据相关的$V_{\text{m}}^{\text{E}}$值,得到了相同(p,T)条件下的${(\partial{V_{\text{m}}^{\text{E}}}/\partial T)}_p$ 曲线。根据这些实验结果以及对含氟苯、氯苯或溴苯与正烷烃的混合物的过量摩尔焓和体积的了解,我们推断出了以下结论:(i) 结构效应的存在,这对正庚烷混合物尤为重要,而随着正烷烃长度的增加,结构效应与体积特性的相关性降低;(ii) 对 $V_{text{m}}^{text{E}}$ 的相互作用效应并不随正烷烃长度的增加而显著变化,因此观察到的 $V_{text{m}}^{text{E}}$ 变化从根本上说是由结构效应贡献的相应变化决定的。PFP模型的应用支持这种解释,它为$V_{text{m}}^{text{E}}$提供了自由体积贡献,这种贡献与$V_{text{m}}^{text{E}}$随着正构烷烃长度的变化而平行变化,而相互作用贡献则与正构烷烃的大小无关,大致保持恒定。
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