A Surface-Tension Model for Non-Ideal Liquid Mixtures Based on the Butler Equation Coupled with a Cubic EoS
摘要
We presently applied the Butler equation coupled with a cubic equation of state (CEoS) to accurately represent the surface tension of several representative binary liquid mixtures containing highly polar and associating substances (e.g., methanol + water, ethanol + water, 1-propanol + water, 2-propanol + water, acetic acid + water, and toluene + methanol) over the entire composition range, at saturation pressure, and within a temperature range of 20–50 °C. The main thermodynamic quantities involved in the resulting Butler-based model, namely the fugacity coefficients in the bulk and surface liquid phases, were obtained using the Peng–Robinson-Stryjek-Vera CEoS which was combined with modern mixing rules of the Wong–Sandler type, enabling a proper description of the highly non-idealities exhibited by the binary mixtures considered in this study. The results obtained were generally satisfactory; however, we found out that the performance of the present modeling approach was highly dependent on the choice of the molar surface area of the pure species (Ai) within the Butler framework. Consequently, three diverse modeling scenarios were explored: (1) estimating Ai values using the Paquette correlation, thus making the present model fully predictive; (2) using the recommended Ai values as reported by Suarez et al., also yielding a fully predictive model; and (3) treating the Ai values as adjustable parameters within the present model.