Question #44328

Cobalt(II,III) oxide (\ce{Co3O4}) is a mixed-valence compound that crystallizes in a normal spinel structure. The successive ionization energies for gaseous cobalt atoms are given as: $IE_1 = 760 \text{ kJ/mol}$, $IE_2 = 1460 \text{ kJ/mol}$, $IE_3 = 3230 \text{ kJ/mol}$. Calculate the total ionization energy required to form the constituent cobalt cations present in one mole of \ce{Co3O4} from gaseous cobalt atoms. Additionally, determine the total Crystal Field Stabilization Energy (CFSE) of these cations in their respective lattice sites. (Assume oxide acts as a strong field ligand for \ce{Co^{3+}} and a weak field ligand for \ce{Co^{2+}}. Ignore pairing energy in the final expression, and use $\Delta_t = \frac{4}{9} \Delta_o$).