理想气体绝热过程方程的4种推导

Four Ways of Derivations for the Adiabatic Process Equation of Ideal Gas

物理化学的一个重要魅力是公式的交互关联性。以理想气体绝热过程方程为例,详细地叙述了如何从热力学第一定律、熵差计算公式、偏微分和全微分等4个不同的起点出发,利用必要的热力学关系,最后到达相同的终点的推演过程。

An important fascination of physical chemistry is that some formulas are cross-correlated.Taking the adiabatic process equation of ideal gas as an example,this paper describes in detail the deduction process from the four different starting points including the first law of thermodynamics,the formulas for calculating the entropy difference,the partial differential relations and the total differential equations,by using the necessary thermodynamic relations,and finally reaching the same end point.