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MHT CET20249 May 2024Morning ShiftChemistryThermodynamics (C)Actual

Two moles of an ideal gas is expanded isothermally from a volume of 300 ~cm ^3 to 2.5 dm ^3 at 298 K against a constant pressure at 1.9 bar. Calculate the work done in joules.

Options

  1. A-418 J .
  2. B-565 ~J
  3. C-918 J
  4. D-950 ~J

Correct answer

A. -418 J .

Step-by-step solution

aligned & V ₁=300 ~cm ^3=0.3 dm ^3, ( 1 dm ^3=1.000 ~cm ^3 ) & V ₂=2.5 dm ^3 aligned aligned P _ ext & =1.9 bar W & =- P _ ext ( V ₂- V ₁ ) & =-1.9(2.5-0.3) & =-4.18 dm ^3 bar 100 ~J dm ^3 bar W & =-418 ~J aligned

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