多元系相界上类Margules方程
来源期刊：中南大学学报(自然科学版)1988年第5期
论文作者：方正
文章页码：587 - 592
关键词：多组分体系； 多相混合物； 活度； 相平衡； 解析； 计算方法； 组元； 溶液/类Margules方程； 相界
Key words：multicomponent system； multi-phase mixtures； activity； phase equilibrium； analytic； computational method； component； solution/analogue margules equation； phase boundaries
摘 要：本文在多元多相体系变通的Gibbs-Duhem方程基础上,提出相界上的类Margules方程,用解析方法替代相界上Gibbs-Duhem方程图解积分,并能克服图解积分中出现的一些固有问题。
Abstract:
A new method for the calculation of activities on phase boundaries in aC-component and C-1-phase system is suggested,that is an analogue Margulesequation.The activities could be represented by a power series of the compositions(△1)1j and（△i）1i of the pseudobinary solution in the multicomponent system.
lnα1=(∑k=0)αk(△i)1k
lnαi=(∑k=0)βk(△1)ik（i=2,…,c）
The relations between the coefficients αk and βk of the power series have beendetermined by means Of the modified Gibbs-Duhem equation On phase boundariesfor the c-component and c-1 phase system as follows:
β1=-α1=0
βk=(-1)k·k-1·(∑k=0)[(k-2+m)(k-2)(k+m)]αk(k=2,……)
The experimental data of the activity of the component 1 may be used tocalculate all the remaining activities of components on phase boundaries of thesystem.
The older graphical Gibbs-Duhem integration technique can be replaced by thepresent analytical method.
