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99 Percentile Qs Bank for JEE MainChemistryChemical Equilibrium

The equilibrium constant for the reaction SO ₂(g)+ 1 2 O ₂(g) SO ₃(g) is 5 10⁻² atm. The equilibrium constant of the reaction 2 SO ₃(g) 2 SO ₂(g)+ O ₂(g) would be

Options

  1. A100 ~atm
  2. B200 ~atm
  3. C4 10^2 ~atm
  4. D6.25 10^4 ~atm

Correct answer

C. 4 10^2 ~atm

Step-by-step solution

aligned SO ₂+ 1 2 O ₂ & SO ₃ K₁ & = [ SO ₃ ] [ SO ₂ ] [ O ₂ ]^ 1 / 2 2 SO ₃ & 2 SO ₂+ O ₂ ~K ₂ & = [ SO ₂ ]^2 [ O ₂ ] [ SO ₃ ]^2 aligned From Eqs. (i) and (ii) aligned K₂ & = 1 K₁^2 K₂ & = 1 (5 10⁻² )^2 = 1 25 10⁻⁴ & = 100 10^2 25 & =4 10^2 ~atm aligned

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