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  4. A gas mixture consists of 2 moles of oxygen and 4 moles of Argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

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Q. A gas mixture consists of $2$ moles of oxygen and $4$ moles of Argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

NEETNEET 2017Kinetic Theory

Solution:

For two moles of diatomic oxygen with no vibrational mode.
$ U_{1} = 2\times \frac{5}{2} RT = 5RT$
For four moles of monoatomic Argon,
$U_{2} = 4\times \frac{3}{2} RT = 6RT$
$\therefore \quad U=U_{1}+ U_{2} = 5RT+6RT=11RT$