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Question: Answered & Verified by Expert
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
PhysicsThermodynamicsJEE Main
Options:
  • A $4 R T$
  • B $15 R T$
  • C $9 R T$
  • D $11 R T$
Solution:
1447 Upvotes Verified Answer
The correct answer is: $11 R T$
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 $=4 \times \frac{3}{2} R T=6 R T$ monoatomic gas, hence its internal energy of 4 moles
Total Internal energy $=(6+5) R T=11 R T$

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