Born-Haber cycle); Cl appears to undergo deposition but it isn’t given, overall this question just doesn’t add up to me.

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(Born-Haber cycle); Cl appears to undergo deposition but it isn’t given, overall this question just doesn’t add up to me.
9-030: Lattice Energy Calculation
Use the following information to calculate AHattice for MgCl2.
Mg(s) Mg(g)
Cl2(9) → 2Cl(9)
A H° = 148 kJ
%3D
A H° =
= 243 kJ
M9(g) Mg (g)+e¯
A H° = 738 kJ
Mg (g) Mg*(g)+e
2+
A H° =
= 1450 kJ
Clg) +e → Cl(9)
A H° = -349 kJ
Mg(s)+ Cl2(g) → M9CI2(s) A Hf° = -641.6 kJ
%3D
-2082 kJ/mol
Try to set up a Born-Haber cycle for the process of forming the compound.
Transcribed Image Text:9-030: Lattice Energy Calculation Use the following information to calculate AHattice for MgCl2. Mg(s) Mg(g) Cl2(9) → 2Cl(9) A H° = 148 kJ %3D A H° = = 243 kJ M9(g) Mg (g)+e¯ A H° = 738 kJ Mg (g) Mg*(g)+e 2+ A H° = = 1450 kJ Clg) +e → Cl(9) A H° = -349 kJ Mg(s)+ Cl2(g) → M9CI2(s) A Hf° = -641.6 kJ %3D -2082 kJ/mol Try to set up a Born-Haber cycle for the process of forming the compound.
Expert Solution
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     Let us calculate the lattice enthalpy of Magnesium chloride by the following steps given below:

1. Sublimation of Magnesium solid into gaseous state atom, sublimation enthalpy:

          Mg(s)→Mg(g)   

         Δsub H° =148KJ/mol

 

2. The ionization of gaseous magnesium atom into an ion, ionization enthalpies:

           Mg(g)→Mg1+(g)+1e-(g)

          Δ1st lE H° = 738KJ/mol

           Mg1+(g)→Mg2+(g)+1e−(g)

         Δ2nd IEH° = 1451KJ/mol

3. The dissociation of chlorine molecule into gaseous atoms, bond dissociation enthalpy:

           Cl2(g)→2Cl(g)

       Δbond H° =2×122

                         =   244KJ/mol

 

4. The electrons gained by the chlorine atoms; electron gain enthalpy:

 

       2Cl+2e−(g)→2Cl−

        Δeg H° =2 ×−349

                      = -698KJ/mol

 

5. The enthalpy of formation of magnesium chloride is:

      Mg2+(g)+2Cl−(g)→MgCl2

        Δform H°= -641.8KJ/mol

 

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