A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.

Explanation

Since oxygen is diatomic molecule wit 5 degree of freedom ,
Degree of freedom of molecules in 2 moles of oxygen `f_1 = 2n xx5=10N.`
Since argon is a monoatomic molecule, degrees of freedom of molecules in 4 moles of argon `f_2 = 4N xx3=12N.`
` :.` Total degrees of freedom of the mixture `=f=f_1+f_2`
=`10N + 12N = 22N`.
According to the principle of low of equation partition energy, associated with each degree of freedom of a molecule `=1/2kT.`
`:.{:("Total energy"),("of the system"):}}=1/2RTxx22`
`=11kT`
But k = R
`:.{:("Total energy"),("of the system"):}}=1/2RTxx22=11RT`