JEE Main · ChemistryHard

For a reversible adiabatic expansion of an ideal gas with heat capacity ratio , the relationship between temperature and volume is given by . If the gas is expanded from to , the change in entropy of the system is:

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: B

Solution

  1. The definition of entropy change for a reversible process is .
  2. For an adiabatic process, the heat exchange .
  3. Therefore, and the total change in entropy .
  4. Hence the answer is (B).

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