Question
Question: The molecular size of ICl and $Br_2$ are approximately the same, but the boiling point of ICl is muc...
The molecular size of ICl and Br2 are approximately the same, but the boiling point of ICl is much higher than that of Br2 because

ICl is polar but Br2 is non polar
Br2 is more polarisable than ICl
ICl is an ionic compound while Br2 is co-valent
I – Cl bond is stronger than Br – Br bond
ICl is polar but Br2 is non polar
Solution
The boiling point depends on intermolecular forces. ICl is a polar molecule due to the electronegativity difference between I and Cl, exhibiting dipole-dipole interactions in addition to London Dispersion Forces (LDFs). Br2 is a nonpolar molecule, only exhibiting LDFs. Since dipole-dipole interactions are stronger than LDFs (for molecules of comparable size), ICl has stronger overall intermolecular forces, leading to a higher boiling point than Br2.