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AP EAMCET201822 Apr 2018Evening ShiftPhysicsThermodynamicsActual

A cylindrical vessel of uniform cross-section consisting of a gas of =1.5 is divided into two parts A and B using a piston. Initially the piston is kept fixed such that part A has pressure p and volume 5 ~V and the part B has pressure 8 p and volume V . If the piston is let free and the gas is allowed to undergo adiabatic process, then the final volume of the gas in part A is

Options

  1. A3 V
  2. B8 3 v
  3. C10 3 v
  4. D13 3 V

Correct answer

C. 10 3 v

Step-by-step solution

For adiabatic expression in part A and B, we have, Solving for V_A with r=1 5 , we get V_A= 10 3 ~V

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