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MHT CET202311 May 2023Evening ShiftChemistryThermodynamics (C)Actual

What is the work done during oxidation of 4 moles of SO _ 2( ~g ) to SO _ 3( ~g ) at 27^ C ? ( R =8.314 ~J ~K ⁻¹ ~mol ⁻¹ )

Options

  1. A1.780 ~kJ
  2. B-1.125 ~kJ
  3. C3.234 ~kJ
  4. D-4.988 ~kJ

Correct answer

D. -4.988 ~kJ

Step-by-step solution

For oxidation of 4 moles of SO ₂ , the reaction is given as follows: aligned & 4 SO _ 2( ~g ) +2 O _ 2( ~g ) 4 SO _ 3( ~g ) & n _ g = (moles of product gases) & - (moles of reactant gases) & n _ g =4-6=-2 ~mol & ~W =- n _ g RT & =-(-2 ~mol ) 8.314 ~J ~K ⁻¹ ~mol ⁻¹ 300 ~K & =+4988.4 ~J & =+4.988 ~kJ & aligned [Note: For the given question, none of the provided options is the correct answer.]

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