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

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

1. A

11 RT

2. B

4 RT

3. C

15 RT

4. D

9 RT

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### Solution:

$\mathrm{U}=\frac{{\mathrm{n}}_{1}{\mathrm{f}}_{1}}{2}\mathrm{RT}+\frac{{\mathrm{n}}_{2}{\mathrm{f}}_{2}}{2}\mathrm{RT}$
f - No. of degrees of freedom
f1 for diatomic gas = 5
f2 for monoatomic gas = 3

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