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BITSAT2022ChemistryThermodynamics (C)Actual

Standard entropy of X₂, Y₂ and X Y₂ are 60,40 and 50 JK ⁻¹ ~mol ⁻¹ , respectively. For the reaction, 1 2 X₂+ 3 2 Y₂ X Y₃, H=-30 ~kJ , to be at equilibrium, the temperature will be

Options

  1. A1250 ~K
  2. B500 ~K
  3. C750 ~K
  4. D1000 ~K

Correct answer

C. 750 ~K

Step-by-step solution

S=S (X Y₃ )- 1 2 S (X₂ )- 3 2 S (Y₂ )=50-30-60=-40 ~J ~mol ⁻¹ ~K ⁻¹ H=-30 ~kJ =-3000 ~J G= H-T S At equilibrium, G=0T= H S = -3000 -40 =750 ~K

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