Answer:
[CN⁻] = 2,35x10⁻¹¹ M
Explanation:
Selective precipitation is a technique of separating ions in an aqueous solution by using a reagent that precipitates one or more of the ions. In this case, you use CN⁻ from ammonium cyanide to precipitate nickel(II)thus:
Ni(CN)₂ ⇄ Ni²⁺ + 2 CN⁻ [tex]K_{sp}[/tex] = 3,0x10⁻²³
The [tex]K_{sp}[/tex] definition is:
[tex]K_{sp}[/tex] = [Ni²⁺] [CN⁻]²
Knowing [Ni²⁺] is 0,0541M:
3,0x10⁻²³ = 0,0541M × [CN⁻]²
Thus, concentration of cyanide ion required to just initiate precipitation is: [CN⁻] = 2,35x10⁻¹¹ M
I hope it helps!