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BITSAT2014PhysicsThermodynamicsActual

One mole of O ₂ gas having a volume equal to 22.4 Litres at 0^ C and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-

Options

  1. A1672.5 ~J
  2. B1728 ~J
  3. C-1728 ~J
  4. D-1572.5 ~J

Correct answer

D. -1572.5 ~J

Step-by-step solution

Work done in adiabatic process, ( W = RT _ e ( V _ f V _ i ) ) ( W =1 8.314 273 _ e ( 11.2 22.4 ) ) ( W =8.314 273 _ e ( 1 2 ) ) ( W =8.314 273 [ _ e (1)- _ e (2) ] ) ( W =8.314 273 (0-0.69) ) ( W =-1566.1 ~J )

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