Will lead chloride be more soluble in hot water than cold water?
In general, most solutes SHOULD be more soluble in hot water. Why?
Let's look at the dissolution reaction:
Strong ionic bonds are broken in the reaction, i.e. the electrostatic bonds that bind the lead chloride lattice together. Of course, the water molecules solvate these ions, but the reaction still involves the breaking of strong chemical bonds. At higher temperatures, more solute bonds can be broken and the reaction proceeds to the right.
As chemists, as physical scientists, we should look at the data. This site gives a marginal increase in solubility as the temperature is raised.