1.

Calculate the lattice energy of MgBr_(2) from the given date

Answer»

Solution :`Mg_((S))+Br_(2_((l)))rarrMgBr_(2_((S)))`
`DeltaH_(F)^(@)=524kJmol^(-1)`
Sublimation : `Mg_((s))rarrMg_((g))DeltaH_(1)^(@)=+148 "kJmol"^(-1)`
Ionisation : `Mg_((s))rarrMg_((g))^(2+)+2e^(-)DeltaH_(2)^(@)=+2187 "kJmol"^(-1)`
vapourisation : `Br_(2(l))rarrBr_(2(g))DeltaH_(3)^(@)=+31 "kJmol"^(-1)`
Dissociation : `Br_(2(g)))rarr2Br_(2(g))DeltaH_(4)^(@)=+193 "kJmol"^(-1)`
Electron AFFINITY affinity : `2Br_((g))+2e^(-)rarr2Br_((g))^(-)DeltaH_(5)^(@)=-662 "kJmol"^(-1)`
Lattice enthalpy : `Mg_((g))^(2+)+2Br_((g))^(-)rarrMgBr_(2_((S)))DeltaH_(6)^(@)=?`
`DeltaH_(f)^(@)=DeltaH_(1)^(@)+DeltaH_(2)^(@)+DeltaH_(3)^(@)+DeltaH_(4)^(@)+DeltaH_(5)^(@)+DeltaH_(6)^(@)`
`-524=148+2187+31+193-662+DeltaH_(6)^(@)`
`DeltaH_(6)^(@)=-2421kJ mol^(-1)`
`Mg_((g))^(2+)+2Br_((g))^(-)rarrMgBr_(2_((s)))=DeltaH_(6)^(@)=-2421kJ mol^(-1)`
By definition
`MgBr_(2_((s)))rarrMg_((g))^(2+)+2Br_((g))^(-)DeltaH_(6)^(@)=-2421 kJ mol^(-1)`


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