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JEE Advanced levelSingle correct optionDifficulty 3 of 3td201

Two moles of a diatomic ideal gas () at and expand adiabatically to , once irreversibly against a constant external pressure of and once reversibly. Which statement is correct?

  1. A, , and the gas does more work in the reversible expansion
  2. B, , and the gas does more work in the irreversible expansion
  3. C, , and the gas does more work in the reversible expansion
  4. D, and the work done is the same

Answer: C

Irreversible: gives and . Reversible: and . The reversible path gives the lower final temperature and more work.
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