When comparing bond dissociation energies: • Consider bond length: shorter bonds generally have higher bond energy. • Check for lone pair-lone pair repulsions, which can weaken bonds, as seen in F2.
To determine which diatomic halogen molecule has the highest bond dissociation energy, we should consider the bond strength and atomic size of the halogens: fluorine (F2), chlorine (Cl2), bromine (Br2), and iodine (I2).
The trend of bond dissociation energy in halogens is generally influenced by atomic size and bond strength. As the atomic size increases, the bond distance increases, which usually results in a weaker bond. Consequently, the bond dissociation energy decreases with increasing atomic size in a group.
Among the given options, the sizes of the atoms increase in the order: F < Cl < Br < I.
In F2, despite being the smallest atom, the bond is unusually weak compared to Cl2 due to significant electron-electron repulsion caused by the small size of fluorine, which adversely affects bond strength.
Cl2 has a significantly stronger bond than F2 because the optimal bond length minimizes repulsion, making the bond dissociation energy of Cl2 the highest among the halogens listed.
Br2 and I2 have larger atomic sizes resulting in weaker bonds and thus lower bond dissociation energies compared to Cl2.
Therefore, among the choices given, the bond dissociation energy is highest for chlorine, Cl2.
Molecule
Bond Dissociation Energy (kJ/mol)
F2
158
Cl2
242
Br2
193
I2
151
Based on the above reasoning and data, the correct answer is Cl2.