F2 has lower bond dissociation enthalpy than Cl2. Why?

The bond dissociation energy of F2 is 156.9 kJ/mol. Fluorine is a highly electronegative element. Fluorine molecule is a pretty small one as compared to Chlorine. Therefore it has a very small atomic radius. Two fluorine atoms have to come together to share a pair, so that the octet is completed.But as many electrons concentrated on two small nuclei and separated over comparatively a very small distance repel each other. This is because same charge repel one another Hence the F-F bond is weeker than Cl bond which has larger atomuc radius