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Relation Between r and a

The ionic rad...

Question

The ionic radius of $C l^{-}$ ion is $1.81 A^{0}$ . The interionic distance of $N a C l$ and $N a F$ are $2.79 A^{0}$ and $2.31 A^{0}$ respectively. The ionic radius of $F^{-}$ ion will be:

0.98 A^{0}

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0.80 A^{0}

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1.33 A^{0}

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2.29 A^{0}

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Solution

The correct option is B $1.33 A^{0}$
Given:
$r_{C l^{-}} = 1.81 ˚ A$
$r_{N a^{+}} + r_{C l^{-}} = 2.79$
$∴ r_{N a^{+}} = 0.98 ˚ A$
Now,
$r_{N a^{+}} + r_{F^{-}} = 2.31$
$∴ r_{F^{-}} = 1.33 ˚ A$

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