Lead chloride dissolves in water according to

PbCl2(s)↔Pb2++2Cl−(aq)
The solubility in pure water has been measured to be 4.44 g⋅L−1. Calculate the solubility product of lead chloride in pure water. Your answer should be in units of molarity raised to the appropriate exponent.

To calculate the solubility product of lead chloride (PbCl2) in pure water, we first need to determine the equilibrium concentration of both lead ions (Pb2+) and chloride ions (Cl-) in the solution.

Given that the solubility of lead chloride is measured to be 4.44 g/L, we need to convert this mass concentration into molar concentration.

The molar mass of PbCl2 can be calculated from the atomic masses of lead (Pb) and chlorine (Cl) as follows:
PbCl2: Pb (207.2 g/mol) + 2Cl (35.45 g/mol) = 278.1 g/mol.

To convert the mass concentration to molar concentration, we divide the mass of lead chloride (4.44 g) by its molar mass (278.1 g/mol):
4.44 g / 278.1 g/mol = 0.01596 mol/L.

Now, we can determine the equilibrium concentrations of lead ions (Pb2+) and chloride ions (Cl-) in the solution.

According to the balanced equation for the dissolution of lead chloride:
PbCl2(s) ↔ Pb2+(aq) + 2Cl-(aq)

The concentration of lead ions (Pb2+) at equilibrium will be equal to the initial concentration of lead chloride dissolved, which we calculated to be 0.01596 mol/L.

The concentration of chloride ions (Cl-) at equilibrium will be twice the initial concentration of lead chloride dissolved since for each molecule of PbCl2 dissolved, two chloride ions are produced.
Therefore, the concentration of chloride ions at equilibrium is 2 * 0.01596 mol/L = 0.03192 mol/L.

Now we can calculate the solubility product (Ksp) for lead chloride using the concentrations of lead ions and chloride ions at equilibrium.

The solubility product expression for PbCl2 is as follows:
Ksp = [Pb2+][Cl-]^2

Substituting the equilibrium concentrations that we calculated, we get:
Ksp = (0.01596 mol/L) * (0.03192 mol/L)^2

Calculating this expression will give us the solubility product of lead chloride in pure water.