Abstract A new formulation for the fraction of electron acceptor sites of methane (CH4) of cubic-plus-association couple with Huron-Vidal (CPA-HV) model is presented, and a combine rule is used to calculate the cross-associating strength of CH4-water (H2O) binary system. Meanwhile, the interaction parameters (Eij, Eji and F) of CPA-HV model are regressed for CH4–H2O binary and CH4–H2O–NaCl ternary systems. The predictions of CPA-HV model are consistent with a lot of binary and ternary experimental data of these systems. Compared with CPA-vdW and SRK-HV models, the accuracy of CPA-HV model is the best for vapor-liquid equilibria of CH4–H2O system. The average absolute relative deviations of the predicted CH4 solubility in H2O and aqueous sodium chloride solutions for CPA-HV model are respectively 5.84% and 6.91%.

中文翻译：

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使用状态关联方程对甲烷在氯化钠水溶液中的溶解度进行相平衡建模

摘要 利用 Huron-Vidal (CPA-HV) 模型提出了立方加缔合偶对甲烷 (CH4) 的电子受体位点分数的新公式，并使用组合规则计算了CH4-水（H2O）二元系统。同时，对 CH4-H2O 二元和 CH4-H2O-NaCl 三元系统，CPA-HV 模型的相互作用参数（Eij、Eji 和 F）进行了回归。CPA-HV 模型的预测与这些系统的大量二元和三元实验数据一致。与 CPA-vdW 和 SRK-HV 模型相比，CPA-HV 模型的精度对于 CH4-H2O 系统的汽液平衡是最好的。CPA-HV 模型预测的 CH4 在 H2O 和氯化钠水溶液中的溶解度的平均绝对相对偏差分别为 5.84% 和 6.91%。