JEE Main · PhysicsHard
Two identical containers are connected by a thin tube with a valve. One contains mole of an ideal gas at temperature and the other contains mole of the same gas at temperature . If the valve is opened and the system reaches equilibrium, what is the final temperature of the gas?
- A.$1.5 T$
- B.$2 T$
- C.$2.5 T$
- D.$3 T$
Show correct answer & step-by-step solution
Correct answer: B — $2 T$
Solution
- The total internal energy is conserved: .
- For a monatomic gas, .
- .
- With , .
- Hence the answer is (B).
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