Two samples A and B of same gas have equal volumes and pressures. The gas in sample A is…

Physics · JEE Advanced · NTA ExamsKinetic Theory of Gases

Two samples A and B of same gas have equal volumes and pressures. The gas in sample A is expanded isothermally to double its volume and the gas in sample B is expanded to double its volume adiabatically. If work done by the gas is same in two processes, then value of γ for the gas is best given by
  1. 1 – 2– = (– 1) ln 2
  2. 1 – 2–( – 1) = ( – 1) ln 2
  3. 1 – 2–( – 1) = 2 ( – 1) ln 2
  4. None of these

Answer

(B) 1 – 2–(  – 1) = (  – 1) ln 2

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