ThermodynamicsHard

Question

Let , vrms and vp respectively denoted the mean speed, root mean square speed and most probable speed of the molecules in an ideal monaoatomic gas at absolute temperature T. The mass of molecules is m. Then,

Options

A.no molecules can have a speed greater than √2vrms
B.no molecule can have speed less than vp / √2
C.vp < √2 < vrms
D.the average kinetic energy of a molecule is

Solution


and
From these expressions we can see that,
vp < < vrms
Secondly,    vrms =   and average kinetic energy of a gas molecule

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