JEE Main · PhysicsHard
A thermally insulated container is divided into two compartments by a movable piston. One side contains $n$ moles of an ideal gas at temperature $T$, and the other side is a vacuum. If the piston is released and the gas expands to fill the entire volume, what is the final temperature of the gas?
- A.$T$
- B.$T/2$
- C.$T(V_1/V_2)$
- D.$T(V_2/V_1)$
Show correct answer & step-by-step solution
Correct answer: A — $T$
Solution
For free expansion, and . By the first law of thermodynamics, . For an ideal gas, , so , meaning the final temperature is .
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