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Question: Answered & Verified by Expert
A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes we calculated the total internal energy of the system to be xRT. What is the value of x?
PhysicsThermodynamicsJEE Main
Solution:
2364 Upvotes Verified Answer
The correct answer is: 11

The internal energy of n moles of a gas is U=12nFRT
where F = number of degrees of freedom.
The internal energy of 2 moles of oxygen at temperature T is

U1=12×2×5RT=5RT    (F = 5 for oxygen molecule)

The total internal energy of 4 moles of argon at temperature T is

    U2=12×4×3RT=6RT (F = 3 for argon molecule)

Total internal energy =U1+U2=11RT

x=11

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