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From kinetic theory of gases, show that ...

From kinetic theory of gases, show that Moon cannot have atmosphere (Assume `k=1.38xx10^(-23)JK^(-1),T0^@C=273K)`.

Text Solution

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At absolute temperature `T=0^(@)C=273`
Boltmann.s Constant `k_(B)=1.38xx10^(-23)JK^(-1)`
`m=3.33xx10^(27)` kg (mass of hydrogen molecule)
`nu_(rms)=sqrt((3k_(B)T)/m)=sqrt((3xx1.38xx10^(-23)xx273)/(3.33xx10^(27)))`
`sqrt((1130.22xx10^(-23))/(3.33xx10^(27)))=1824.11`
`nu_(rms)=1.84xx10^(13)ms^(-1)`
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