A gas mixture of 2 moles of O2 and 4 moles of Ar are at temperature T. Neglecting all the vibrational modes, the total internal energy of the system is
A
4RT
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B
15RT
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C
9RT
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D
11RT
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Solution
The correct option is D11RT We know that, Internal energy (U) U=nfRT2
For O2, [n=2 and f=5 (diatomic)] U1=2×5×RT2 =5RT ... (1)
For Ar, [n=4 and f=3 (monoatomic)] U2=4×3×RT2 =6RT ... (2)
On adding (1) and (2),
Total internal energy =11RT
So, total internal energy of gas mixture is 11RT