Given that the ionization energy of $\mathrm{F}_{2}^{-}$ is $290 \mathrm{~kJ} / \mathrm{mol}$ do the following:
a. Calculate the bond energy of $\mathrm{F}_{2}^{-}$. You will need to look up the bond energy of $\mathrm{F}_{2}$ and ionization energy of $\mathrm{F}^{-}$.
b. Explain the difference in bond energy between $\mathrm{F}_{2}^{-}$ and $\mathrm{F}_{2}$ using MO theory.