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rNa+ and rC...

Question

$r_{N a^{+}}$ and $r_{C l^{-}}$ represents radius of $N a^{+}$ and $C l^{-}$ ions respectively. If $^{'} n^{'}$ is the number of $N a C l$ units per unit cell then give equation you will use to obtain molar volume.

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Solution

Edge length of unit cell $^{'} a^{'} = 2 (r_{N a^{+}} + r_{C l^{-}})$
Volume of unit cell $= a^{3} = 8 (r_{N a^{+}} + r_{C l^{-}})^{3}$
Volume occupied by one mole of $N a C l$
$= \frac{8 (r_{N a^{+}} + r_{C l^{-}})^{3}}{n} \times N_{A}$
where $N_{A} = 6.023 \times 10^{23}$ .

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