The mean value of the kinetic energy and the root-mean-square velocity of helium molecules under normal condition is close to (Given : the pressure and temperature of helium under normal condition are 
and 
respectively. From tables, we find the molar mass of helium, 
, the Boltzmann constant 
, the Avogadro constant 
, and the density of helium under normal conditions, 
Text Solution
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We express the mean kinetic energy of a helium molecule in terms of the temperature: 
. For monatomic gases like helium, this will be the total kinetic energy of molecules
Since 
have 
, where 
, is the mass of a helium molecule, which can be expressed as the ratio of the molar mass and the Avogadro constant : 
Finally, we obtain
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