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

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15 RT

9 RT

11 RT

4 RT

answer is D.

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Detailed Solution

Oxygen is diatomic gas, hence its energy of two moles $= 2 \times \frac{5}{2} R T = 5 R T$
Argon is a monoatomic gas, hence its internal energy of 4 moles

$= 4 \times \frac{3}{2} R T = 6 R T$
Total Internal energy $= (6 + 5) R T = 11 R T$

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