Final answer:
The concentrations of Mg²⁺ and OH⁻ ions change when certain compounds are added to a mixture of solid Mg(OH)₂ and water at equilibrium. Adding MgCl₂ or KOH will increase the concentration of either Mg²⁺ or OH⁻, respectively, resulting in a decrease in the other ion and an increase in the amount of undissolved Mg(OH)₂.
Step-by-step explanation:
When MgCl₂ is added to a mixture of solid Mg(OH)₂ and water at equilibrium, the concentration of Mg²⁺ increases. This increase in Mg²⁺ concentration will shift the solubility equilibrium to the left, decreasing the concentration of OH⁻ and increasing the amount of undissolved Mg(OH)₂.
Similarly, when KOH is added, the concentration of OH⁻ increases. This will also shift the solubility equilibrium to the left, resulting in a decrease in the concentration of Mg²⁺ and an increase in the amount of undissolved Mg(OH)₂.
On the other hand, adding more solid Mg(OH)₂ will increase the amount of undissolved compound in the mixture, but since the solution is already saturated, the concentrations of dissolved Mg²⁺ and OH⁻ ions will remain the same.