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本文提出了一个建筑在统计学基础上的、校验汽液平衡数据热力学一致性的方法。在从T、P、x计算y的直接法中使用的函数F,被用来表达实际行为与理论一致性间的偏离。F直接由原始实验数据计算,其中导数值用抛物线法根据相邻三点确定,不需要通常的光滑化处理。F的正态分布特性则由模拟随机数据的研究加以证实。一种参数的显著性检验方法,结合合理的误差分析,被用来对实验数据在不同误差等级下的一致性进行判断。提供的若干实例表明,本方法有很大的灵活性,能比常规方法作出更合理的检验。
This paper presents a method based on a statistical basis that verifies the thermodynamic consistency of vapor-liquid equilibrium data. The function F used in the direct method of calculating y from T, P, x is used to express the deviation between the actual behavior and the theoretical consistency. F is directly calculated from the original experimental data, in which the derivative value is determined by the parabola method based on three adjacent points without the usual smoothing treatment. The normal distribution of F is verified by the simulation of random data. A significant test of parameters, combined with reasonable error analysis, is used to determine the consistency of the experimental data at different error levels. Several examples are provided to show that this method offers great flexibility and makes a more reasonable test than conventional methods.