论文标题
与热力学中交换热有关的整合因子的独特性
The uniqueness of the integration factor associated with the exchanged heat in thermodynamics
论文作者
论文摘要
状态功能在热力学中起重要作用。与过程函数不同，例如交换的热$ΔQ$和应用的工作$ΔW$，状态函数的更改可以表示为确切的差异。我们在这里证明，对于通用热力学系统，仅温度倒数（即$ 1/t $）可以作为交换热$ΔQ$的集成因子。集成因子的唯一性无效任何尝试定义与交换热量相关的其他状态函数的尝试，进而揭示了通过将$ e_ {vh} = C_VT^2 /2 $定义为状态函数的错误性，通过将$ t作为集成因子作为状态函数。我们通过将热容量$ c_v $作为温度无关的常数来进一步显示出参赛者的误差。
State functions play important roles in thermodynamics. Different from the process function, such as the exchanged heat $δQ$ and the applied work $δW$, the change of the state function can be expressed as an exact differential. We prove here that, for a generic thermodynamic system, only the inverse of the temperature, namely $1/T$, can serve as the integration factor for the exchanged heat $δQ$. The uniqueness of the integration factor invalidates any attempt to define other state functions associated with the exchanged heat, and in turn, reveals the incorrectness of defining the entransy $E_{vh}=C_VT^2 /2$ as a state function by treating $T$ as an integration factor. We further show the errors in the derivation of entransy by treating the heat capacity $C_V$ as a temperature-independent constant.
