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An ionic solid crystallizes as rock salt structure (NaCl) and the edge length of fcc unit cell having rock salt structure is 508 pm. If the radius of cation is 110 pm, then radius of the anion in pm is

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answer is 144.

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Detailed Solution

$a (F C C) = 508 p m; R_{c} = 110 p m$

$R_{a} = ?$

We can say

$2 (R_{c} + R_{a}) = a$

$\Rightarrow R_{c} + R_{a} = \frac{a}{2} = \frac{508}{2} = 254 p m$

$∴ R_{a} = 254 - 110 = 144 p m$

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