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Question

Calculate the lattice enthalpy of KCl from the following data at standard states-
Enthalpy of sublimation of K=89 kJmol1
Enthalpy of dissociation of Cl2=244 kJmol1
Ionisation energy of K=425 kJmol1
Electron gain enthalpy of Cl=355 kJmol1
Enthalpy of formation of KCl=438 kJmol1

A
719 kJmol1
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B
719 kJmol1
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C
832 kJmol1
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D
832 kJmol1
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Solution

The correct option is B 719 kJmol1
K(s)K(g);ΔHsub=89 kJmol1

12Cl2(g)Cl(g);BDE2=2442=122 kJmol1

K(g)K+(g); IE=425 kJmol1

Cl(gCl(g); EA=355 kJmol1

K(s)+12Cl2(g)KCl(s); ΔH0f=438 kJmol1

According to Born-Haber cycle
H0f=ΔHsub+BDE2+IE+EA+U
438=89+122+425355+U
U=719 kJmol1

hence, lattice energy of KCl = 719 kJmol1

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