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Gokcen和Change讨论了多元系相界上Gibbs-Duhem关系,但有些情况下会出现无界函数瑕积分,影响组元偏摩尔性质的完整计算。周国治以及周国治和Elliott曾提出φ函数和θ函数解决三元二相共存区相界上变通的Gibbs-Duhem方程图解积分困难。本文引入新的变量,推广和补充定义φ函数到多元系,以求解决c元c-1相共存区包括极限位置在内的整个相界上Gibbs-Duhem方程的完整积分。
Gokcen and Change discussed the Gibbs-Duhem relationship on the multiphase facies, but in some cases, there is an unbounded function flaw integral that affects the complete calculation of the partial molar properties of the component. Zhou Guizhi and Zhou Guizhi and Elliott proposed the φ function and the θ function to solve the problem of integral integration of the Gibbs-Duhem equation for the modification of the phase boundary in the ternary two phase coexistence zone. In this paper, a new variable is introduced to extend and supplement the definition of the φ function to multivariate systems in order to solve the complete integral of the Gibbs-Duhem equation over the entire phase boundary including the c-1 phase coexistence zone.