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COMEDK2023PhysicsThermodynamics

An ideal gas goes from state A to state B via three different processes as indicated in the p-V diagram. If Q₁, Q₂ and Q₃ indicate the heat absorbed by the three processes and U₁, U₂ and U₃ indicate the change in internal energy along the three processes respectively, then

Options

  1. AQ₁>Q₂>Q₃ and U₁= U₂= U₃
  2. BQ₃>Q₂>Q₁ and U₁= U₂= U₃
  3. CQ₁=Q₂=Q₃ and U₁> U₂> U₃
  4. DQ₃>Q₂>Q₁ and U₁> U₂> U₃

Correct answer

A. Q₁>Q₂>Q₃ and U₁= U₂= U₃

Step-by-step solution

For all processes 1,2 and 3 Change in internal energy, i.e. gathered U=U_B-U_A U₁= U₂= U₃ Q= U+ W gathered Now, W= work done by the gas, i.e. area under p-V curve. As, area (1)> area (2)> area (3) array ll & W₁> W₂> W₃ & Q₁>Q₂>Q₃ array

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