A wide characterization of the phase equilibrium involved in aqueous biphasic micellar systems (ABMSs) formed by 10,000 or 35,000 g mol^–1 polyethylene glycol (PEG) + t-octylphenoxypolyethoxyethanol (Triton X-100) + water was evaluated at 283.15, 298.15, and 313.15 K, respectively. The influences of temperature, polymer molar mass, and mixture compositions on the phase diagrams obtained were evaluated. The analysis of the phase diagrams obtained experimentally showed that the increase of temperature favors, significantly, the phase separation process. The increase in the polymer molecular weight from 10,000 to 35,000 g mol^–1 has an even more pronounced effect than that of temperature in inducing phase separation. The experimental liquid–liquid equilibrium (LLE) data were then theoretically correlated using the extended Flory–Huggins lattice model for ternary mixtures. The interaction parameters of the component’s pairs PEG–Triton X-100 (λ₁₂), PEG–water (λ₁₃), and Triton X-100–water (λ₂₃) in the ABMSs were estimated at different temperatures and in two different surfactant configurations (single molecule and micellar aggregates). Although it was not possible to correlate the parameters of interaction with the physical reality of ABMSs, the Flory–Huggins model allowed to recover the LLE data within the experimental error range. The experimental data of the binodal curves for the different ABMSs were also adjusted through the Othmer–Tobias, Bancroft, and Setschenow empirical equations.

中文翻译：

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由聚乙二醇（10,000或35,000 g mol ^–1）+ Triton X-100 +水在不同温度下形成的水相双相胶束系统的相图：实验和相关性

评估了由10,000或35,000 g mol ^–1聚乙二醇（PEG）+叔辛基苯氧基聚乙氧基乙醇（Triton X-100）+水形成的双相胶束系统（ABMS）涉及的相平衡的广泛表征，其值为283.15、298.15和分别为313.15K。评估了温度，聚合物摩尔质量和混合物组成对所得相图的影响。对通过实验获得的相图的分析表明，温度升高明显有利于相分离过程。聚合物分子量从10,000增加到35,000 g mol ^–1在诱导相分离方面，比温度具有更明显的作用。然后，使用扩展的Flory-Huggins晶格模型对三元混合物进行理论上的实验液-液平衡（LLE）数据关联。组件的对的相互作用参数PEG-的Triton X-100（λ ₁₂），PEG-水（λ ₁₃）和Triton X-100水（λ ₂₃在不同温度和两种不同表面活性剂构型（单分子和胶束聚集体）下估算ABMS中的）。尽管不可能将相互作用的参数与ABMS的物理现实联系起来，但Flory-Huggins模型允许在实验误差范围内恢复LLE数据。还通过Othmer-Tobias，Bancroft和Setschenow经验方程式调整了不同ABMS的双曲线曲线的实验数据。