函数的单调性和导数在物理化学教学中的运用

Application of Monotonicity of Function and Derivative in Physical Chemistry Teaching

分析了函数的单调性在阿伦尼乌斯方程、吸附热力学、范特霍夫方程和克拉佩龙方程中的运用;介绍了利用导数推导开尔文微小液滴饱和蒸气压公式,并介绍了导数在物理化学中的一些证明题和计算题中的巧妙运用.从而把物理化学抽象的内容通过数学知识具体化,使深奥的物理化学理论变成简单的数学知识.

This paper analyzed the application of monotonicity of function in Arrhenius equation, adsorption thermodynamics, Van＇t Hoff equation and Clapeyron equation, introduced the application of derivatives to deduce the saturated vapor pressure function of the Kelvin micro droplet formula, and skillful applications of derivatives in some proving problems and calculating questions. So that, the abstract contents of physical chemistry could be concretized by mathematical knowledge, and the abstruse theories of physical chemistry could become simple mathematical knowledge.