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Questions  

A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

a
15 RT
b
9 RT
c
11 RT
d
4 RT

detailed solution

Correct option is C

The internal energy of 2 moles of O2 atom is UO2=n1f12RT=2×52×RT=5RTThe internal energy of  4 moles of Ar atom is UAr=n2f2RT2=4×32×RT=6RT∴ The total internal energy of the system is U=UO2+UAr=5RT+6RT=11RT

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