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物理化学教材与教学中存在的数学疑问
Mathematical questions in teaching of Physical Chemistry
【摘要】 在物理化学教学与教材中,有关热力学公式推导的准确性及简明性,诸如稀溶液凝固点下降公式、吉布斯吸附等温式、单组分在"相"变时的化学势 温度曲线及埃伦菲斯方程推导,以及麦克斯韦关系式的定义、冠符规则的理解等内容,目前存在一些争议与讨论,试用自设计的"态函数网络拓扑空间列阵"模型一一解析这些数学问题.
【Abstract】 In teaching and course book of Physical Chemistry,there have been some discussions about accuracy and simplification of thermodynamics equation derivation,for example,derivation of drop of solidification point and Gibbs adsorption isothermal equation,chemical potentialtemperature curve of single component phase change,or Ehrenfest equation,and understanding of definition of rule of Maxwell′s relations and rule of mathematical signs.Model of "state function topologic space matrix" designed by this paper is meaningful for understanding the problems.
【关键词】 热力学;
态函数;
化学势;
凝固点;
相平衡;
麦克斯韦关系式;
溶液吸附;
拓扑矩阵;
【Key words】 thermodynamics; state function; chemical potential; solidification point; phase equilibrium; rule of Maxwell′s relations; solution adsorption; topologic matrix;
【Key words】 thermodynamics; state function; chemical potential; solidification point; phase equilibrium; rule of Maxwell′s relations; solution adsorption; topologic matrix;
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University (Natural Sciences) , 编辑部邮箱 ,2003年01期
- 【分类号】O64-4
- 【下载频次】203