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

Physics · JEE Main · 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 \(\gamma\)for the gas is best given by
  1. \(1-2^{-7}=(\gamma-1) \ln 2\)
  2. \(1-2^{-(-1)}=(\gamma-1) \ln 2\)
  3. \(1-2^{-(\gamma-1)}=2(\gamma-1) \ln 2\)
  4. None of these

Answer

(B) 1-2^ -(-1) =( -1) 2

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