The lattice energy of LiF is $1023 kJ / mol$ and the LiF distance is pm. MgO crystallizes in the same structure as LiF with MgO distance of pm. Which of the following values most closely approximates the lattice energy of MgO

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$512 kJ / mol$

$4008 kJ / mol$

$2046 kJ / mol$

$256 kJ / mol$

answer is C.

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Detailed Solution

$LEα \frac{(Z +) (Z -)}{r_{c} + r_{a}}$ fot LiF it is $\frac{1 \times 1}{a}$ but for MgO it is $\frac{2 \times 2}{a}$ $∴$ The lattice energy MgO is 4 times that of Li.

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