作业帮On average,how far is a molecule of air in the room in which
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On average,how far is a molecule of air in the room in which you're sitting from the nearest molecule of air to it,assuming it is an ideal gas.Appropriate assumptions about the temperature and pressure.
这个题目就是求常温常压下两个距离最近的分子的距离.而且是粗略计算,大体数量级对就可以.
假设一个分子所占的空间为立方体（球型都可以的,这里方便计算用立方体）
设当前的状态为标准状态 Vm=22.4L/mol
所以1mol的气体体积为22.4L
N=6.02*10^23
一个气体分子的所占体积为 22.4L/(6.02*10^23)
由假设气体分子所占的空间为立方体,所以立方体的边长为
[22.4/(6.02*10^23)]^(1/3)
=3.34*10^(-8) dm
=3.34nm
所以两个最近的气体分子之间的距离大约为 3.34nm（纳米）
假设一个分子所占的空间为立方体（球型都可以的,这里方便计算用立方体）
设当前的状态为标准状态 Vm=22.4L/mol
所以1mol的气体体积为22.4L
N=6.02*10^23
一个气体分子的所占体积为 22.4L/(6.02*10^23)
由假设气体分子所占的空间为立方体,所以立方体的边长为
[22.4/(6.02*10^23)]^(1/3)
=3.34*10^(-8) dm
=3.34nm
所以两个最近的气体分子之间的距离大约为 3.34nm（纳米）
average velocity squared of a molecule 翻译
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