Modeling of the Solubility of Solids in Supercritical Fluids/Supercritical Fluids-Cosolvent Systems using Peng-Robinson Equation of State

Peng Xiao, Changyu Sun, Wen-qiang Wang, Guangjin Chen
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Abstract

Abstract The Peng-Robinson equation of state (PR EOS) was used for modeling the solubility of solids in supercritical fluids (SCFs). A correction function is introduced to the van der Waals one-fluid mixing rules for EOS parameter b for considering the effect of solute molecules on the volumetric properties of solvent molecules. The calculated results by PR EOS are satisfactory when the temperature-independent interaction parameters are applied to 20 supercritical binary systems containing supercritical carbon dioxide, ethylene and ethane, giving equivalent correlative accuracy by the SAFT EOS, which has a sound theoretical basis. The solubilities of solids in carbon dioxide with ethane as cosolvent ternary systems were predicted using the parameters obtained from binary systems. The solubilities of other systems are also predicted by setting the interaction parameters as zero. The results suggested that a simple PR EOS model can predict the gas-solid phase equilibrium of supercritical fluid with reasonable accuracy.
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用Peng-Robinson状态方程模拟固体在超临界流体/超临界流体-共溶剂体系中的溶解度
摘要采用Peng-Robinson状态方程(PR EOS)模拟固体在超临界流体中的溶解度。为考虑溶质分子对溶剂分子体积性质的影响,在范德华单流体混合规则中引入了一个修正函数。将与温度无关的相互作用参数应用于含有超临界二氧化碳、乙烯和乙烷的20个超临界双星体系时,PR - EOS的计算结果令人满意,具有相当的相关精度,具有较好的理论依据。以乙烷为共溶剂的三元体系,用二元体系的参数预测了固体在二氧化碳中的溶解度。通过将相互作用参数设为零,也可以预测其他体系的溶解度。结果表明,简单的PR - EOS模型可以较好地预测超临界流体的气固相平衡。
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