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MHT CET Medical202622 April 2026Evening ShiftChemistryThermodynamics (C)Actual

Determine the constant external pressure required to compress 2 mole of an ideal gas from volume 10.8 dm ^3 to 5.4 dm ^3 if the work obtained is 2460 J.

Options

  1. A2.28 bar
  2. B1.14 bar
  3. C3.42 bar
  4. D4.56 bar

Correct answer

D. 4.56 bar

Step-by-step solution

Work done during compression against a constant external pressure is W = -P_ ext V . Given W = 2460 J , V₁ = 10.8 dm ^3 , V₂ = 5.4 dm ^3 . V = 5.4 - 10.8 = -5.4 dm ^3 = -5.4 L . Substituting the values: 2460 J = -P_ ext (-5.4 L ) Since 1 L bar = 100 J , we have: 2460 = P_ ext 5.4 100 P_ ext = 2460 540 = 4.555 bar 4.56 bar . Answer: 4.56 bar

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