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MHT CET202120 Sep 2021Morning ShiftPhysicsThermodynamicsActual

The relation obeyed by a perfect gas during an adiabatic process is PV ^ 3 / 2 = constant. The initial temperature of the gas is ' T '. when the gas is compressed to half of its Initial volume, the final temperature of the gas is

Options

  1. A2 2 ~T
  2. B4 ~T
  3. C2 ~T
  4. D2 ~T

Correct answer

C. 2 ~T

Step-by-step solution

Given, PV ^ 3 / 2 = constant or TV ^ 1 / 2 = constant aligned & T ₁ ~V ₁^ 1 / 2 = T ₂ ~V ₂^ 1 / 2 & T ₂ ~T ₁ = ( V ₁ ~V ₂ )^ 1 / 2 = 2 & ~T ₂= 2 ~T ₁= 2 ~T aligned

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