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In aqueous solution the ag ion forms a complex with two ammonia molecules. Write the formation constant expression for the equilibrium between the hydrated metal ion and the aqueous complex. Under that, write the balanced chemical equation for the first step in the formation of the complex.

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Answer:

Kf = [[Ag(NH₃)₂]⁺] / [Ag⁺] [NH₃]²

Last step: [Ag(NH₃)]⁺(aq)  + NH₃(aq) ⇄ [Ag(NH₃)₂]⁺(aq)  

Explanation:

When the Ag⁺ ion is in presence of ammonia molecules in an aqueous solution, the dihydrated complex is formed, following the equilibriums:

Ag⁺(aq) + NH₃(aq) ⇄ [Ag(NH₃)]⁺(aq)                      K₁

[Ag(NH₃)]⁺(aq)  + NH₃(aq) ⇄ [Ag(NH₃)₂]⁺(aq)         K₂ → Last step.

And the global reaction:

Ag⁺(aq) + 2 NH₃(aq) ⇄ [Ag(NH₃)₂]⁺(aq)

Being Kf is defined as:

Kf = [[Ag(NH₃)₂]⁺] / [Ag⁺] [NH₃]²

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