Respuesta :
Answer:
The correct answer is -2952 KJ/mol
Explanation:
Attached is the diagram for Born- Haber cycle. According to the cycle:
ΔHf= ΔH1 + ΔH2 + ΔH3 + ΔH4 + ΔH5 + LE
In order to calculate the lattice energy (LE):
LE= ΔHf - ΔH1 - ΔH2 - ΔH3 - ΔH4 - ΔH5
LE= -1123 KJ/mol - 148 KJ/mol - 159 KJ/mol - 728 KJ/mol - 1450 KJ/mol - (2 x (-328 KJ/mol)
LE= -2952 KJ/mol

The lattice energy of MgF₂ is -2952 KJ/mol which can be calculated by using given values.
How we calculate the lattice energy?
Lattice energy for the given question will be calculated by using the Born Haber cycle equation as:
ΔH₀ = ΔH₁ + ΔH₂ + ΔH₃ + ΔH₄ + ΔH₅ + Lattice Energy
Lattice Energy = ΔH₀ - ΔH₁ - ΔH₂ - ΔH₃ - ΔH₄ - ΔH₅, where
According to question,
ΔH₀ = -1123 kJ/mol
ΔH₁ = 148 kJ/mol
ΔH₂ = 159 kJ/mol
ΔH₃ = 738 kJ/mol
ΔH₄ = 1450 kJ/mol
ΔH₅ = -328 kJ/mol (In the cycle 2 moles of fluorine is present so we multiply this value by 2)
On putting all these values on the above equation we get,
L.E = -1123 KJ/mol - 148 KJ/mol - 159 KJ/mol - 728 KJ/mol - 1450 KJ/mol - (2 x (-328 KJ/mol)
L.E = -2952 KJ/mol
Hence, -2952 KJ/mol is the lattice energy.
To know more about Born Haber cycle, visit the below link:
https://brainly.com/question/11730518