Surface tension of mixtures containing ionic liquids based on an equation of state and on the geometric similitude conce
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ORIGINAL PAPER
Surface tension of mixtures containing ionic liquids based on an equation of state and on the geometric similitude concept Luis F. Cardona 1 & José O. Valderrama 2 Received: 10 May 2020 / Revised: 24 June 2020 / Accepted: 13 July 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract A model based on a cubic equation of state and on the geometric similitude concept is proposed to calculate the surface tension of pure substances and mixtures containing organic substances, water, and ionic liquids. The geometric similitude is observed between surface tension and density for liquid mixtures at different temperatures and concentrations. The parameters of the model have been estimated by fitting experimental pure component data obtained from the literature. The model has been extended to binary and ternary mixtures using simple mixing and combining mixing rules without interaction parameters, so the predictive capabilities of the model are guaranteed. Data for 90 binary mixtures (2660 data) and 12 ternary mixtures (467 data) are considered. The mixtures are composed of organic solvent + ionic liquid and water + ionic liquids. The temperature varies from 278.15 to 348.15 K in the whole composition range at atmospheric pressure. Various form of estimating the necessary pure component parameters are analyzed. Results show that the model is accurate for primary estimation in process design and process simulation. Keywords Surface tension . Cubic equation of state . Ionic liquid . Mixing rule . VPT equation of state
Abbreviations EoS Equation of Statqe Eq. Equation Fig. Figure IL Ionic liquid MS Microsoft N I S T -National Institute of Standards and Technology ILs Ionic Liquids Database VPT Valderrama-Patel-Teja Greek Letters α Temperature function defined in Table 1 %Δ Percent deviation Electronic supplementary material The online version of this article (https://doi.org/10.1007/s11581-020-03697-0) contains supplementary material, which is available to authorized users. * Luis F. Cardona [email protected] 1
Fac. of Chemical Engineering, Univ. Pontificia Bolivariana, A.A, 56006 Medellín, Colombia
2
Departamento de Ingeniería Química y Procesos de Minerales, Facultad de Ingeniería, Universidad de Antofagasta, Av. Angamos 601, Antofagasta, Chile
ρ σ Ø, β, γ
Mass density (g/cm3) Surface tension (N/m) Constant for all substances described in Table 1
Super/subscripts cal Calculated c Critical property exp Experimental i, j Components i and j L Liquid phase m Mixture max Maximum value mim Minimum value
Introduction The surface tension is an important property of especial interest in phase transition phenomena found in processes such as catalysis, adsorption, distillation, extraction, and biological membranes [1–3]. Examples of these types of processes are those associated with environmental engineering, liquid chromatography, development of compound materials, drug carriers, chemical reactions that occur in fluid surfaces, and
Ionics
microelectronics [2]. Ionic liquid
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