Consider an ionic compound, Mx_(3), composed of generic metal M and generic gaseous halogen x.
The enthalpy of formation of Mx_(3) is ΔH_(f) = -821 kJ/mol.
The enthalpy of sublimation of M is ΔH_(sub) = 181 kJ/mol.
The first, second, and third ionization energies of M are IE_(1) = 645 kJ/mol, IE_(2) = 1641 kJ/mol, and IE_(3) = 2665 kJ/mol.
The electron affinity of x is ΔH_(EA) = -365 kJ/mol. (Refer to the hint).
The bond energy of x_(2) is BE = 177 kJ/mol.
Determine the lattice energy of Mx_(3).
ΔH_(lattice) = kJ/mol