The process of breaking a compound down into its elements is called rearrangement
recombination
decomposition
dessication

0.168mL of the 1.0M KI solution must be added

Explanation:

The PbI₂ is in equilibrium with water as follows:

PbI₂ ⇄ Pb²⁺ + 2I⁻

Where Ksp is:

Ksp = 1.4x10⁻⁸ = [Pb²⁺] / [I⁻]²

As molarity of Pb²⁺ is 0.11M:

1.4x10⁻⁸ = [0.11M] / [I⁻]²

1.27x10⁻⁷ = [I⁻]²

3.57x10⁻⁴M = [I⁻]

Thus, to precipitate all Pb²⁺ you need to add 3,57x10⁻⁴M of I⁻. As volume of the solution is 470.0mL = 0.47L, you need to add:

0.47L * (3,57x10⁻⁴moles / L) = 1.68x10⁻⁴ moles of I⁻ = Moles of KI.

That comes from the 1.0M KI. You need to add:

1.68x10⁻⁴ moles of KI * (L / 1.0 mol) = 1.68x10⁻⁴L =