Use the following to calculate H°lattice of MgF2. Mg(s) Mg(g) H° = 148 kJ F2(g) 2 F(g) H° = 159 kJ Mg(g) Mg+(g) + e- H° = 738 kJ Mg+(g) Mg+2(g) + e- H° = 1450 kJ F(g) + e- F -(g) H° = -328 kJ Mg(s) + F2(g) MgF2(s) H° = -1123 kJ kJ/mol

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

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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