非理想气体状态方程  

Equation of State for Non Ideal Gases

作　　者：张文超 Zhang Wenchao(School of Physics and Information Technology,Shaanxi Normal University,Xi’an 710119,China)

机构地区：[1]陕西师范大学物理学与信息技术学院,陕西西安710119

出　　处：《广东化工》2020年第21期208-209,共2页Guangdong Chemical Industry

摘　　要：本文在正则系综框架下,利用平均场近似的方法推导出了非理想气体状态方程,并发现:气体摩尔体积的修正项跟分子的体积成正比,比例系数为4倍阿伏伽德罗常数;气体压强的修正项反比于摩尔体积的平方,比例系数跟分子的体积以及分子之间的相互作用力有关。另外,本文讨论了某些气体(H2,O2,CO2,He)在不同温度下的压强随摩尔体积的变化趋势。In the framework of canonical ensemble, the equation of state of non ideal gas is derived by means of mean field approximation. It is found that the correction term of the gas molar volume is directly proportional to the volume of molecules, with the proportionality equal to 4 times of the Avogadro constant. The correction term of the gas pressure is inversely proportional to the square of the gas molar volume, with the proportionality related to the molecular volume and the interaction force between molecules. In addition, we investigate the variation of the pressure with the molar volume at different temperatures for H2, O2, CO2 and He.

关 键 词：非理想气体 状态方程 正则系综 平均场近似 

分 类 号：O64[理学—物理化学]