Answer:
Kf = [[Hg(NH₃)₄]²⁺] / [Hg²⁺] [NH₃]⁴
Last step: [Hg(NH₃)₃]²⁺ + NH₃(aq) ⇄ [Hg(NH₃)₄]²⁺(aq)
Explanation:
When the Hg²⁺ ion is in presence of ammonia molecules in an aqueous solution, the tetrahydrated complex is formed, following the equilibriums:
Hg²⁺(aq) + NH₃(aq) ⇄ [Hg(NH₃)]²⁺(aq) K₁
[Hg(NH₃)]²⁺ + NH₃(aq) ⇄ [Hg(NH₃)₂]²⁺(aq) K₂
[Hg(NH₃)₂]²⁺ + NH₃(aq) ⇄ [Hg(NH₃)₃]²⁺(aq) K₃
<em>[Hg(NH₃)₃]²⁺ + NH₃(aq) ⇄ [Hg(NH₃)₄]²⁺(aq) </em> K₄ → Last step.
Global reaction is:
Hg²⁺(aq) + 4 NH₃(aq) ⇄ [Hg(NH₃)₄]²⁺(aq)
And Kf is defined as:
<em>Kf = [[Hg(NH₃)₄]²⁺] / [Hg²⁺] [NH₃]⁴</em>