Answer:
The solubility product constant (Ksp) for the PbI2 solution is approximately 5.093 x 10^-6 at room temperature.
Step-by-step explanation:
The solubility product constant, Ksp, describes the equilibrium constant for the dissolution of a sparingly soluble salt in water. For the reaction:
PbI2(s) ⇌ Pb2+(aq) + 2I-(aq)
The expression for the Ksp is:
Ksp = [Pb2+][I-]^2
where [Pb2+] represents the molar concentration of Pb2+ ions in the solution and [I-] represents the molar concentration of I- ions in the solution.
Given that the molar solubility of PbI2 is 0.00230 M, we can assume that the concentration of Pb2+ ions is also 0.00230 M (since 1 mol of PbI2 produces 1 mol of Pb2+ ions). The concentration of I- ions will be twice that of Pb2+ ions, so [I-] = 2 * 0.00230 M = 0.00460 M.
Now, we can calculate the Ksp:
Ksp = (0.00230 M)(0.00460 M)^2
Ksp = 5.093 x 10^-6.