A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is
A$4 RT$
B$15 RT$
C$9 RT$
D$11 RT$
IIT 1999,NEET 2017, Medium
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D$11 RT$
d Total Energy $ = {U_{oxygen}} + {U_{argon}} = {\mu _1}\frac{{{f_1}}}{2}RT + {\mu _2}\frac{{{f_2}}}{2}RT$
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