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Most Important Selected Qs for JEE AdvancedChemistryThermodynamics (C)

A 2 mole Ne gas sample in a 30 L container fitted with frictionless piston is expanding adiabatically reversibly to 60 L at initial temperature 400 K . Which of the following is/are correct statement(s)?

Options

  1. AWork done in the above process is around - 1867.5 kJ
  2. BChange in temperature is of 150 K (approx.)
  3. CThe initial pressure is 2.2 atm and final pressure is 0.68 atm
  4. DThe final temperature is 250 K (approx.)

Correct answer

D. The final temperature is 250 K (approx.)

Step-by-step solution

aligned & T₂ T₁ = ( V₁ V₂ )^ -1 on solving & T₂=250 ~K & ~W = nC _ v ( T ₂- T ₁ ) & =2 12.5 ~kJ ~mol ⁻¹ ~K ⁻¹ -150 ~K =-3735 ~kJ & P ₁ ~V ₁ ~T ₁ = P ₂ ~V ₂ ~T ₂ & P ₁=2.2 and P₂=0.68 aligned

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