Calculate the Lattice Energy of Magnesium Sulfide from the Data

Multiple Choice

Calculate the lattice energy of magnesium sulfide from the data given below. Mg(s) → Mg(g) ΔH° = 148 kJ/mol
Mg(g) → Mg²⁺(g) + 2e⁻ ΔH° = 2186 kJ/mol
S₈(s) → 8S(g) ΔH° = 2232 kJ/mol
S(g) + 2e⁻ → S²⁻(g) ΔH° = 450 kJ/mol
8Mg(s) + S₈(s) → 8MgS(s) ΔH° = −2744 kJ/mol
Mg²⁺(g) + S²⁻(g) → MgS(s) ΔH°_lattice = ?

A) −3406 kJ/mol
B) −2720. kJ/mol
C) 2720. kJ/mol
D) 3406 kJ/mol
E) None of these choices are correct.