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Each rubidium halide crystallising in th...

Each rubidium halide crystallising in the NaCl-type lattice has a unit cell length `0.30 Å` greater than that for corresponding potassium salt `(r_(k+)=1.33 Å`) of the same halogen. Hence, ionic radius of `Rb^(+)` is

A

`1.03 Å`

B

`1.18Å`

C

`1.48Å`

D

`1.63Å`

Text Solution

Verified by Experts

The correct Answer is:
C
Unit cell length of RbX crystal is `2(r_(Rb)+R_(X^(-)))`
Unit cell length of KX is `2(r_(K)+R_(X^(-)))`
`2(r_(Rb)+R_(X^(-))-2(r_(K)+R_(X^(-)))=0.30Å`
`:. r_(Rb^+)-r_(K^(+)=)0.15`
`:.r_(Rb^(+))=1.33+0.15=1..48 Å`
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