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JIPMER2014ChemistryChemical Equilibrium

For the reaction, N ₂( ~g )+ O ₂( ~g ) 2 NO ( g ) , the equilibrium constant is K₁ . The equilibrium constant is K₂ for the reaction, 2 NO ( g )+ O ₂( ~g ) 2 NO ₂( ~g ) . What is K for the reaction, NO ₂(g) 1 2 ~N ₂(g)+ O ₂(g) ?

Options

  1. A1 / (4 K₁ K₂ )
  2. B[1 / K₁ K₂ ]^ 1 / 2
  3. C1 / (K₁ K₂ )
  4. D1 / (2 K₁ K₂ )

Correct answer

B. [1 / K₁ K₂ ]^ 1 / 2

Step-by-step solution

N ₂( ~g )+ O ₂( ~g ) 2 NO ( g ) ; K ₁ (i)2 NO ( g )+ O ₂( ~g ) 2 NO ₂( ~g ) ; K ₂ (ii) N ₂(g)+2 O ₂(g) 2 NO ₂(g) ; K=K₁ K₂ aligned For NO ₂(g) & 1 2 ~N ₂(g)+ O ₂(g) ; K & = [ 1 K₁ K₂ ]^ 1 / 2 aligned

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