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The initial pressure and volume of a gas is ' P ' and ' V ' respectively. First by isothermal process gas is expanded to volume ' 9 ~V ' and then by adiabatic process its volume is compressed to ' V ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume = 3 2 )

Options

  1. A6 ~A
  2. B27P
  3. C3P
  4. D9P

Correct answer

C. 3P

Step-by-step solution

C_p C_v = 3 2 Case I: Isothermal process aligned & P ₁ ~V ₁= P ₂ ~V ₂ & PV = P ₂ 9 ~V & P ₂= P 9 aligned Case II: Adiabatic process aligned & P ₂ ~V ₂^ = P ₃ ~V ₃^ & P 9 (9 ~V )^ = P ₃( ~V )^ & P ₃= ( P 9 ) 9^ = ( P 9 ) 9^ 3 / 2 = P 9 27=3 P aligned

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