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AP EAMCET202315 May 2023Evening ShiftPhysicsThermodynamicsActual

A monatomic gas of volume ' V ' and pressure ' P ' expands isothermally to a volume ' 27 ~V ' and then compressed adiabatically to a volume ' V '. The final pressure of the gas is

Options

  1. A3 P
  2. B2 P
  3. C9 P
  4. D4 P

Correct answer

C. 9 P

Step-by-step solution

P₁=P: V₁=V ; V₂=27 V For isothermally aligned & P₁ V₁=P₂ V₂ & P₂= P₁ V₁ V₂ & = P V 27 V = P 27 aligned For adiabatically aligned & P ₂ ~V ₂^ = P ₃ ~V ₃^ & P 27 (27 ~V )^ 5 3 = P ₃ V ^ 5 3 & P 27 (3)^ 3 5 3 = P ₃ aligned The final pressure of the gas P ₃=9 P

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