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Frenkel Defect

The edge leng...

Question

The edge length of sodium chloride unit cell is $564 p m$ . If the size of $C l^{-}$ ion is $181 p m$ . The size of $N a^{+}$ ion will be:

A

101

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B

181

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C

410

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D

202

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Solution

The correct option is A 101
For $N a C l$ unit cell,

$2 r_{{N a}^{+}} + {2 r}_{{C l}^{-}} = d$

$2 r_{{N a}^{+}} + 2 \times 181 = 564$

On solving, we get:
$r_{{N a}^{+}} = 101 p m$

Hence, option A is correct.

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