The experimental vapor–liquid equilibrium (VLE) data for a ternary system of β-caryophyllene + dipentene + α-pinene and two binary systems composed of β-caryophyllene (1) + dipentene (2) and dipentene (2) + α-pinene (3) were measured using a modified Ellis still in the temperature range from 428.4 to 529.1 K at 100.7 kPa. The thermodynamic consistency test of the VLE data was carried out using the van Ness test and the McDermott–Ellis method. The binary VLE data were correlated using the Margules, Nonrandom Two-Liquid (NRTL), Wilson, and Universal Quasi Chemical (UNIQUAC) activity coefficient models. The mean absolute deviation values of vapor-phase mole fraction and temperature are 0.0103 and 1.11 K for the β-caryophyllene (1) + dipentene (2) system and 0.0025 and 0.17 K for the dipentene (2) + α-pinene (3) system, respectively. The Wilson model parameters obtained from the binary systems were used to predict the ternary VLE data. By comparing the experimental values for the ternary system with the values calculated using the Wilson model, the mean absolute deviation value of the equilibrium temperature was determined to be 0.49 K; the absolute deviation values of the vapor-phase composition of β-caryophyllene and dipentene were determined to be less than 0.0078 and 0.0062, respectively.

中文翻译：

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β-石竹烯，双戊烯和α-P烯在100.7 kPa时的二元和三元体系的汽液平衡

β-石竹烯+双戊烯+α-pine烯三元体系和两个由β-石竹烯（1）+双戊烯（2）和双戊烯（2）+α-pine烯组成的二元体系的实验气液平衡（VLE）数据（3）使用改良的Ellis在100.7 kPa下仍在428.4至529.1 K的温度范围内进行测量。VLE数据的热力学一致性测试是使用van Ness测试和McDermott-Ellis方法进行的。使用Margules，非随机两液（NRTL），Wilson和通用拟化学（UNIQUAC）活性系数模型对二元VLE数据进行关联。β-石竹烯（1）+双戊烯（2）体系的气相摩尔分数和温度的平均绝对偏差值分别为0.0103和1.11 K，双戊烯（2）+α-pine烯（3）的气相绝对摩尔分数和温度分别为0.025和0.17 K系统。从二元系统获得的Wilson模型参数用于预测三元VLE数据。通过将三元系统的实验值与使用Wilson模型计算的值进行比较，可以确定平衡温度的平均绝对偏差值为0.49K。β-石竹烯和双戊烯的气相组成的绝对偏差值分别确定为小于0.0078和0.0062。