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K₁, K₂ and K₃ are the equilibrium constants of the following reactions (I), (II) and (III) respectively: (I) N ₂+2 O ₂ 2 NO ₂ (II) 2 NO ₂ N ₂+2 O ₂ (III) NO ₂ 1 2 ~N ₂+ O ₂ The correct relation from the following is

Options

  1. AK₁= 1 K₂ = 1 K₃
  2. BK₁= 1 K₂ = 1 (K₃ )^2
  3. CK₁= K₂ =K₃
  4. DK₁= 1 K₂ =K₃

Correct answer

B. K₁= 1 K₂ = 1 (K₃ )^2

Step-by-step solution

(I) N ₂+2 O ₂ K₁ 2 NO ₂ K₁= [ NO ₂ ]^2 [ ~N ₂ ] [ O ₂ ]^2 (II) 2 NO ₂ K₂ N ₂+2 O ₂ K₂= [ N ₂ ] [ O ₂ ]^2 [ NO ₂ ]^2 (III) aligned & NO ₂ K₃ 1 2 ~N ₂+ O ₂ & K₃= [ N ₂ ]^ 1 / 2 [ O ₂ ] [ NO ₂ ] & (K₃ )^2= [ N ₂ ] [ O ₂ ]^2 [ NO ₂ ]^2 aligned from equation (i), (ii) and (iii) K₁= 1 K₂ = 1 (K₃ )^2

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