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KVPY2017PhysicsThermodynamics

One mole of an ideal monatomic gas undergoes the following four reversible processes : It is first compressed adiabatically from volume V ₁ to 1 ~m ³ . then expanded isothermally to volume 10 ~m ³ then expanded adiabatically to volume V ₃ then compressed isothermally to volume V ₁ , If the efficiency of the above cycle is 3 / 4 then V ₁ is,

Options

  1. A2 ~m ³
  2. B4 ~m ³
  3. C6 ~m ³
  4. D8 ~m ³

Correct answer

D. 8 ~m ³

Step-by-step solution

=1- T₁ T₂ =1- ( V₂ V₁ )^ 2 / 3 - 1 4 =- ( 1 V₁ )^ 2 / 3 V₁=8 ~m ³

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