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A monoatomic gas at a pressure P , having a 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 γ = 5 / 3 )

Options

  1. A64 P
  2. B32 P
  3. CP / 64
  4. D16 P

Correct answer

C. P / 64

Step-by-step solution

Isothermally P V = P 1 2 V P 1 = P 2 Adiabatically P 2 2 V γ = P f 16 V γ P f = P 2 1 2 3 5 3 P f = P 2 1 2 3 5 3 = P 2 2 5 P f = p 64

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