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JEE Advanced2006ChemistryChemical EquilibriumActual

Ag ⁺+ NH ₃ [ Ag ( NH ₃ ) ]⁺ ; k₁=3.5 10⁻³ [ Ag ( NH ₃ ) ]⁺+ NH ₃ [ Ag ( NH ₃ )₂ ]⁺ ; k₂=1.7 10⁻³ then the formation constant of [ Ag ( NH ₃ )₂ ]⁺ is

Options

  1. A6.08 10⁻⁶
  2. B6.08 10^6
  3. C6.08 10⁻⁹
  4. DNone of these

Correct answer

A. 6.08 10⁻⁶

Step-by-step solution

(i) Ag ⁺+ NH ₃ [ Ag ( NH ₃ ) ]⁺ ; k₁=3.5 10⁻³ (ii) [ Ag ( NH ₃ ) ]⁺+ NH ₃ [ Ag ( NH ₃ )₂ ]⁺, k₂=1.7 10⁻³ on the basis of above reaction aligned & k₁= [ Ag ( NH ₃ ) ]⁺ [ Ag ⁺ ] [ NH ₃ ] & k₂= [ Ag ( NH ₃ )₂ ]⁺ [ Ag ( NH ₃ ) ]⁺ [ NH ₃ ] aligned For the formation of [ Ag ( NH ₃ )₂ ]⁺ Ag ⁺+2 NH ₃ [ Ag ( NH ₃ )₂ ]⁺ Formation constant (K)= [ Ag ( NH ₃ )₂ ]⁺ [ Ag ⁺ ] [ NH ₃ ]^2 From eq. (i) and (ii) K=k₁ k₂=3.5 10⁻³ 1.7 10⁻³=5.95 10⁻⁶ 6.08 10⁻⁶

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