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MHT CET202020 Oct 2020Morning ShiftChemistryThermodynamics (C)Actual

What is the work done when 2 mole of an ideal gas are expanded isothermally and reversibly from 5 ~m ³ to 10 ~m ³ at 300 ~K ? ( R =8 314 ~J ~K ⁻¹ ~mol ⁻¹ )

Options

  1. A-34.58 ~kJ
  2. B3 .458 ~kJ
  3. C-1.728 ~kJ
  4. D-3 458 k

Correct answer

D. -3 458 k

Step-by-step solution

n =2 mole, V₁=5 ~m ³, V₂=10 ~m ³ T =300 ~K , R =8.314 ~JK ⁻¹ ~mol ⁻¹ W _ =-2.303 nRT ₁₀ V ₂ ~V ₁ W_ =-2.303 2 8.314 300 ₁₀ 10 5 =-3457.97 ~J W _ =-3.458 ~kJ

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