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MHT CET202016 Oct 2020Morning ShiftPhysicsThermodynamicsActual

A monoatomic gas of presuure 'P' having volume 'V' expands isothermally to a volume '2V' and then adiabatically to a volume '16V'. The final pressure of the gas is (ratio of specific heats = 5 3 )

Options

  1. AP 16
  2. BP
  3. CP 32
  4. DP 64

Correct answer

D. P 64

Step-by-step solution

= 5 3 Case I: P₁ V₁=P₂ V₂ PV = P ₂ 2 ~V P₂= P 2 Case II : P₂ V₂^ =P₃ V₃^ array l ( P 2 )(2 V)^ =P₃(16 V)^ P₃= P 2 (2 V)^ (16 V)^ = P 2 ( 1 8 )^ = P 2 ( 1 2³ )^ 5 / 3 = P 2 ( 1 2 )⁵ = P 2 32 = P 64 array

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