GATE XE (Engineering Sciences) 2022 - Question 68

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Section: Thermodynamics | Marks: 1

Gas in a cylinder-piston device expands from state 1 1 1 1 ( , , ) p V T to state 2 2 2 2 ( , , ). p V T The expansion process is polytropic, i.e., constant, 1 n pV n = ≠. Assuming the ideal gas behaviour, the expression for the work done, W by the system is given by

  • A. 2 1 1 1 ln T W pV T =
  • B. 2 2 1 1 1 p V pV W n − = −
  • C. 1 1 1 2 ln V W pV V =
  • D. 2 2 2 1 ln p W p V p =

Answer: B. 2 2 1 1 1 p V pV W n − = −

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