Step 1: Understanding the Concept:
Boiling point depends on the type of bonding and the strength of intermolecular forces. Ionic compounds generally have high boiling points, but covalent character reduces it.
Step 2: Detailed Explanation:
According to Fajans' rule, a smaller cation with a higher charge has a greater polarizing power, leading to more covalent character in the compound and thus a lower boiling point.
• KCl: Large K\(^+\) ion, low polarizing power, ionic, high boiling point.
• CuCl: Cu\(^+\) is smaller, has polarizing power, some covalent character.
• CuCl\(_2\): Cu\(^{2+}\) is smaller and has a higher charge, so it has the greatest polarizing power, giving the highest covalent character and thus the lowest boiling point.
• CsCl: Very large Cs\(^+\) ion, low polarizing power, ionic, high boiling point.
Step 3: Final Answer:
CuCl\(_2\) has the lowest boiling point, which corresponds to option (C).