大学化学 >> 2016, Vol. 31 >> Issue (7): 96-100.doi: 10.3866/PKU.DXHX201508010

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理想完全互溶双液系相图的数学解析

刘兴1,*(),屈景年1,周立君2,赖华1,曾荣英1,李俊华1   

  1. 1 衡阳师范学院化学与材料科学学院, 湖南 衡阳 421008
    2 衡阳师范学院数学与统计学院, 湖南 衡阳 421001
  • 发布日期:2016-07-26
  • 通讯作者: 刘兴 E-mail:liuxing1127@sina.com
  • 基金资助:
    衡阳师范学院教学改革研究项目(JYKT201512，JYKT201423，JYKT201513)

Mathematic Analysis of Phase Diagram of Ideal Completely Miscible Two Components Liquid System

Xing LIU1,*(),Jing-Nian QU1,Li-Jun ZHOU2,Hua LAI1,Rong-Ying ZENG1,Jun-Hua LI1   

  1. 1 College of Chemistry and Material Science, Hengyang Normal University, Hengyang 421008, Hunan Province, P. R. China
    2 College of Mathematics and Statistics, Hengyang Normal University, Hengyang 421001, Hunan Province, P. R. China
  • Published:2016-07-26
  • Contact: Xing LIU E-mail:liuxing1127@sina.com
  • Supported by:
    衡阳师范学院教学改革研究项目(JYKT201512，JYKT201423，JYKT201513)

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摘要：

理想完全互溶双液系是两个组分都严格遵守Raoult定律的体系，从数学角度看，其平面相图有着确定的函数关系。本文以Clausius-Clapeyron方程为基础，推导了该类理想体系的p-x、T-x及p-T相图的函数解析式。

关键词: 理想完全互溶双液系, 相图, 函数解析式, Clausius-Clapeyron方程

Abstract:

In an ideal completely miscible two components liquid system, the two components strictly abide by the Raoult's law, and their plane phase diagrams have a definite function relationship. Based on the Clausius-Clapeyron equation, the functional analytic formula ofp-x、T-x and p-T phase diagrams in this ideal system were derived in the present paper.

Key words: Ideal completely miscible two components liquid system, Phase diagram, Functional analytic formula, Clausius-Clapeyron equation