1. Calculate the moles of KCl

* Molar mass of KCl: 39.10 g/mol (K) + 35.45 g/mol (Cl) = 74.55 g/mol

* Moles of KCl: (10.0 g KCl) / (74.55 g/mol) = 0.134 mol KCl

2. Calculate the molarity

* Molarity (M) = moles of solute / liters of solution

* Molarity = (0.134 mol KCl) / (0.500 L) = 0.268 M

Therefore, the molarity of the KCl solution is 0.268 M.