University Chemistry ›› 2017, Vol. 32 ›› Issue (7): 83-87.doi: 10.3866/PKU.DXHX201612036

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The Application of Taylor Series Expansion in Physical Chemistry

Yan YANG,Gai ZHANG,Shan-Chuan CHEN*()   

  • Published:2017-06-27
  • Contact: Shan-Chuan CHEN E-mail:chem63926@126.com
  • Supported by:
    国家自然科学青年基金(21501139);西安工业大学2016年MOOC建设《无机化学》资助项目

Abstract:

Physical chemistry course is one of the basic theories of chemical science and chemical technology.The main contents of physical chemistry include two parts, the basic theories and scientific methods.The Taylor series expansion is one of the commonly used mathematical formulas.It is useful when dealing with complex problems.In this paper, the Taylor series expansion is introduced in the derivation of the Clapeyron equation, the freezing-point depression formula and the Kelvin formula.The basic idea of using Taylor series expansion to obtain the relationship between thermodynamic functions is summarized.This work provides a reference for the use of Taylor series expansion in physical chemistry.

Key words: Taylor series expansion, Thermodynamic function, Physical chemistry

MSC2000: 

  • G64