MCQ
Which set of compounds in the following pair of ionic compounds has the higher  lattice energy? 

$(i)\, KCl$ or $MgO$     $(ii) \,LiF$ or $LiBr$    $(iii)\, Mg_3N_2$ or $NaCl$

  • A
    $KCl, LiBr, Mg_2N_2$
  • B
    $MgO, LiBr, Mg_3N_2$
  • C
    $MgO, LiF, NaCl$
  • $MgO, LiF, Mg_3N_2$

Answer

Correct option: D.
$MgO, LiF, Mg_3N_2$
d
Lattice energy depends upon two factors:

charge on ion (greater the charge higher is the lattice energy)

size of ion (smaller the size of ion greater is the lattice energy)

Among $KCl$ and $MgO , K$ has charge $+1$ and $Mg$ has charge $+2$. Also, $K ^{+}$ has larger ionic radii than $Mg ^{+2}$. So, both the factors add up and the lattice energy of $MgO$ is higher than $KCl$.

$LiF$ and $LiBr$ have the same cation and same ionic charge. So lattice energy depends upon the size of anion. $F ^{-}$ is smaller than $Br ^{-}$, therefore, lattice energy of $LiF$ is higher than $LiBr$.

$MgF _2$ has a charge $+2$ while $NaCl$ has a charge $+1$. Therefore, lattice energy of $MgF _2$ is higher than $NaCl$

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