大学物理 ›› 2016, Vol. 35 ›› Issue (10): 28-.doi: 10.16854/j.cnki.1000-0712.2016.0144

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利用气体分子相对速度的各向同性导出平均相对速率

郑 勇   

  1. 黔南民族师范学院物理与电子科学学院,贵州都匀 558000
  • 收稿日期:2015-10-21 修回日期:2016-03-12 出版日期:2016-10-20 发布日期:2016-10-20
  • 作者简介:郑勇(1983—),男,四川宜宾人,黔南民族师范学院教师,主要从事凝聚态理论研究和基础物理教学工作.

Deriving the average relative speed of gas molecules with the isotropy

ZHENG Yong   

  1. College of Physics and Electronics,Qiannan Normal College for Nationalities,Duyun,Guizhou 558000,China
  • Received:2015-10-21 Revised:2016-03-12 Online:2016-10-20 Published:2016-10-20

摘要: 首先通过类比发现理想气体分子相对速度分布与速度分布具有相同的函数形式,但是困难在于确定前者的常数因子.我们发现一个常用的公式恰好可以帮助确定这个常数.最终通过类比平均速率的推导直接得到了平均相对速率公式.

关键词: 理想气体, 平均相对速率, 推导

Abstract: The relative velocity distribution of molecules of ideal gas is found to possess the same function form as the velocity distribution,which is due to the similar statistical properties they satisfy.The constant in this function is difficult to determine for the former and we have completed this by employing a familiar relation which generally being used in an approximate discussion of the average relative velocity. Then the average relative velocity is calculated.

Key words: ideal gas, average relative velocity, derivation