Final answer:
The value of Ksp for magnesium hydroxide at 25 °C is 1.96 × 10⁻¹².
Step-by-step explanation:
The solubility product constant, Ksp, is a measure of the extent to which a sparingly soluble compound dissolves in solution. It is calculated by multiplying the concentrations of the dissociated ions raised to the power of their respective stoichiometric coefficients. In this case, the solubility of magnesium hydroxide is given as 1.40 × 10⁻⁴ mol/l at 25 °C. Using the equation Mg(OH)₂ ⇌ Mg²⁺ + 2OH⁻, we can determine the value of Ksp to be 1.96 × 10⁻¹².