DERIVATION OF M-H EQUATION OFSTATE FROM STATISTICAL MECHANICS

LI Xinhua; HOU Yujun

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DERIVATION OF M-H EQUATION OFSTATE FROM STATISTICAL MECHANICS

更新时间：2025-12-10

- DERIVATION OF M-H EQUATION OFSTATE FROM STATISTICAL MECHANICS
- CIESC Journal Issue 8, (2002)
- 作者机构：
  
  1. 温州师范学院化学系
  2. 浙江大学材料与化工学院热力学室
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 August 2002，
  
  Published：25 August 2002
- 稿件说明：
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LI Xinhua, HOU Yujun. DERIVATION OF M-H EQUATION OFSTATE FROM STATISTICAL MECHANICS[J]. CIESC Journal, 2002, (8).
DOI：

LI Xinhua, HOU Yujun. DERIVATION OF M-H EQUATION OFSTATE FROM STATISTICAL MECHANICS[J]. CIESC Journal, 2002, (8). DOI：

摘要

根据virialEOS的推导方式

从具有分子体积的准理想气体模型出发

利用巨正则分布和势能函数

从理论上推导了M -H -EOS

并探讨了M -H -EOS的理论基础。结果表明

M -H -EOS与virialEOS具有相同的理论基础

只是在考虑实际气体对理想气体在分子体积和分子间相互作用的偏差上做了不同的近似。M -H -EOS为了计算简便

在实验的基础上对分子间相互作用做了合理的近似

从而避免了高阶virial系数求解困难的问题

因此在实用中取得成功。了解M -H -EOS的理论基础

对进一步发展和改进M -H -EOS的应用领域和计算准确度具有一定的意义

Abstract

Martin-Hou equation of state (1955) can be derived on the basis of statistical mechanics.By modifying the effect of molecular volume and further ap proximation

virial equation of state can be turned into Martin-Hou equation of state.From the derivation it can be seen that Martin-Hou equa tion of state has the same basis in theory as the virial equation of state.As the intera ction between molecules is very complex

Martin-Hou equation of state used the th ermodynamic relations and experimental data to simplify the function of temperature

and obtained good result.The functio n of temperature of M-H equation of state can be derived

which is similar to an alytic forms of viral coefficients

and the physical meanings of parameters are explicit too.In or der to extend the usage of Martin- Hou equation of state

it is of importance to study the theoretical foundation of Martin-Hou equation of state and the phys ical meanings of its coefficients.

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