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MHT CET202013 Oct 2020Evening ShiftChemistryThermodynamics (C)Actual

In an isothermal and reversible process, 1 6 10⁻² ~kg O ₂ expands from 10 dm ³ to 100 dm ³ at 300 ~K , work done in the process is ( R =8.314 ~J )

Options

  1. A-1436 ~J
  2. B-5744 ~J
  3. C-4308 ~J
  4. D-2872 ~J

Correct answer

D. -2872 ~J

Step-by-step solution

V ₁=10 dm ³ , ~V ₂=100 dm ³, ~T =300 ~K , R =8.314 ~J ~K ⁻¹ ~mol ⁻¹, ~m _ O ₂ =1.6 10⁻² ~kg =16 ~g n = m _ O ₂ M _ O ₂ = 16 32 =0.5 ~mol For isothermal and reversible process, aligned W_ &=-2.303 nRT ₁₀ V₂ V₁ W_ &=-2.303 0.5 8.314 300 ₁₀ 100 10 =-2872 ~J aligned

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