Given, sublimation and ionization energy of Na are 107 kJ/mol and 502 kJ/mol respectively and bond dissociation energy required for chlorine gas and its electron affinity energy are 121 kJ/mol and −355 kJ/mol. If △H0f is −411 kJ/mol. What is its approximate lattice enthalpy?
ΔHf0=ΔHsub+IE+ΔHdiss+EA+U
ΔHf0=108+496+122−349−788=411kJ/mol
The enthalpy change in the formation of an ionic lattice from the gaseous isolated sodium and chloride ions is −788 kJ/mole. That enthalpy change, which corresponds to the reaction Na(g)+Cl(g)→NaCl(s), is called the lattice energy of the ionic crystal. Although the lattice energy is not directly measurable, there are various ways to estimate it from theoretical considerations and some experimental values. For all known ionic crystals, the lattice energy has a large negative value. It is ultimately the lattice energy of an ionic crystal which is responsible for the formation and stability of ionic crystal structures.
For sodium chloride, the Born - Haber cycle is as shown in the image.