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JIPMER2007ChemistryChemical Equilibrium

Equilibrium constants K₁ and K₂ for the following equilibria NO (g)+ 1 2 O ₂ K₁ NO ₂(g) and 2 NO ₂(g) K₂ 2 NO (g)+ O ₂(g) are related as

Options

  1. AK₂= 1 K₁
  2. BK₂=K₁^2
  3. CK₂= K₁ 2
  4. DK₂= 1 K₁^2

Correct answer

D. K₂= 1 K₁^2

Step-by-step solution

(i) NO (g)+ 1 2 O ₂(g) K₁ NO ₂(g) So K₁= [ NO ₂ ] [ NO ] [ O ₂ ]^ 1 2 ...(i) (ii) 2 NO ₂(g) K₂ 2 NO + O ₂(g) So K₂= [ NO ]^2 [ O ₂ ] [ NO ₂ ]^2 ...(ii) From Eq. (i) K₁^2= [ NO ₂ ]^2 [ NO] ^2 [ O ₂ ] . or 1 K₁^2 = [ NO ]^2 [ O ₂ ] [ NO ₂ ]^2 ...(iii) From Eqs. (ii) and (iii) K₂= 1 K₁^2

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