Final answer:
To determine the minimum pH at which CoS begins to precipitate, we need to consider the equilibrium between H₂S and CoS. We can calculate the concentration of S²⁻ ions and find the corresponding pH at which CoS begins to precipitate.
Step-by-step explanation:
To determine the minimum pH at which CoS begins to precipitate, we need to consider the equilibrium between H₂S and CoS. The balanced equation for the reaction is:
H₂S(aq) + CoBr₂(aq) ⇌ CoS(s) + 2HBr(aq)
The solubility product expression for CoS is given as:
Ksp = [Co²⁺][S²⁻]
At the minimum pH, the concentration of S²⁻ ions will be equal to the solubility product of CoS. So, we need to calculate the concentration of S²⁻ ions at a given pH.
Using the given equilibrium equation and the given concentrations of H₂S and CoBr₂, we can calculate the concentration of S²⁻ ions and find the corresponding pH at which CoS begins to precipitate.