Find out the molecular kinetic energy of 1 mol of an ideal gas . Is it equal for all gases?

Explanation

Let the molecular weight volume, pressure and temperature of an ideal gas be M,V,p and T respectively
IF the density of the gas is p and the rms speed of the molecules is c, then according to the kinetic theory of gases
`p=1/3pc^2=1/3 M/V c^2`
or, `1/3 Mc^2=pV=RT` (R=universal gas constant )
So the molecular kinetic energy of 1 mol of the gas
`=1/2Mc^2=3/2 times 1/3 Mc^2=3/2 RT`
In general, real gases do not obey the ideal gas conditions, So, the value of molecular kinetic energy differs from the ideal gas value `3/2 RT` .Moreover the value become different for different gases .However,when gases obey the ideal gas conditions,the value of the molecular kinetic energy becomes the same for all gases same temperature T.