Final answer:
N2 has the largest bond dissociation energy among the molecules listed; it possesses a very strong triple bond between two nitrogen atoms, with a bond energy of about 941 kJ/mol.
Step-by-step explanation:
Among the molecules CO, N2, O2, and HCN, the molecule with the largest bond dissociation energy when all bonds are broken is N2. The molecule N2 has a triple bond between two nitrogen atoms, which is one of the strongest chemical bonds known. The bond dissociation energy for the N≡N triple bond is about 941 kJ/mol, which is significantly higher than for the other molecules listed. In contrast, the molecules CO and O2 have double bonds (with CO having a C≡O triple bond), and HCN has a triple bond between C and N but also a C-H bond which is known to have lower bond dissociation energy (approximately 415 kJ/mol).