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MHT CET202311 May 2023Morning ShiftPhysicsKinetic Theory of GasesActual

A monoatomic gas at pressure ' P ', having volume ' V ' expands isothermally to a volume ' 2 ~V ' and then adiabatically to a volume ' 16 ~V '. The final pressure of the gas is (Take =5 / 3 )

Options

  1. AP / 64
  2. BP / 32
  3. C16 P
  4. D32 P

Correct answer

A. P / 64

Step-by-step solution

After isothermal expansion: aligned & P₁ V₁=P₂ V₂ & P₂=P₁ V₁ V₂ & P₂=P₁ V 2 V & P₂= P 2 aligned After adiabatic expansion: aligned & P ₂ ~V ₂^ = P ₃ ~V ₃^ & P ₃= P ₂ ( V ₂ ~V ₃ )^ & P ₃= P 2 ( 2 ~V 16 ~V )^ 5 / 3 & P ₃= P 2 ( 1 8 )^ 5 / 3 & P ₃= P 64 aligned

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