Cadmium and Cyanide Ions Can Form the Complex Ion,Cd(CN)₄^2-,in Aqueous $\leftrightarrows$

question 24

Multiple Choice

Cadmium and cyanide ions can form the complex ion,Cd(CN) ₄^2-,in aqueous solutions.
Cd²⁺ + CN^- $\leftrightarrows$ [Cd(CN) ]⁺ $\quad$ $\quad$ $\quad$$\quad$ K₁
…

[Cd(CN) ₃] ^- + CN ^- $\leftrightarrows$ [Cd(CN) ₄]^2- $\quad$ K₄
Cd²⁺ + 4 CN ^- $\leftrightarrows$ [Cd(CN) ₄]^2- $\quad$ $\quad$ $\quad$ K_formation

The stepwise equilibrium constants are: K₁ = 1.5 *10⁵; K₂ = 2.6 * 10^4; K₃ = 2.1 * 10⁴; and,K₄ = 1.6 * 10³.
Hydrocyanic acid is a weak acid in water: HCN $\leftrightarrows$ H⁺ + CN^-,K_a = 6.2* 10 ^{- 10}.
What is the equilibrium constant,K_overall,for the reaction Cd²⁺ + 4 HCN $\leftrightarrows$ Cd(CN) ₄^2- + 4 H⁺?

• A)2.1 * 10^-2
• B)8.1 * 10⁷
• C)1.9 *0 10^-20
• D)8.7 * 10⁵³
• E)3.2 * 10⁸

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