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NEETChemistryChemical Equilibrium

At a given temperature, the equilibrium constant for the reaction SO ₂( g ) + 1 2 O ₂( g ) SO ₃( g ) is K₁ . The equilibrium constant K₂ for the reaction 2 SO ₃( g ) 2 SO ₂( g ) + O ₂( g ) is related to K₁ as:

Options

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

Correct answer

B. K₂ = 1 K₁^2

Step-by-step solution

The given initial reaction is: SO ₂( g ) + 1 2 O ₂( g ) SO ₃( g ) ; K₁ Reversing this reaction inverses the equilibrium constant: SO ₃( g ) SO ₂( g ) + 1 2 O ₂( g ) ; K' = 1 K₁ Multiplying the reversed reaction by a factor of 2 raises the equilibrium constant to the power of 2: 2 SO ₃( g ) 2 SO ₂( g ) + O ₂( g ) ; K₂ = (K')^2 Substituting the value of K' : K₂ = ( 1 K₁ )^2 = 1 K₁^2 Answer: K₂ = 1 K₁^2

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