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A solid AB has NaCl structure. If the ra...

A solid `AB` has `NaCl` structure. If the radius of the cation `A` is `100` pm, what is the radius of anion `B`?

A

190.47

B

540.13

C

525

D

78.12

Text Solution

Verified by Experts

The correct Answer is:
A
NaCl type structure is also called face centred cubic lattice. Here the radius ratio `(r_(c)//r_(a))` ranges from 0.414 to 0.732.
radius ratio =`(r_(c))/(r_(a))=("radius of cation")/("radius of anion")`
`implies `radius of anion `(B^(-))=("radius of "A^(+))/("radius ratio")`
`=(100)/(0.414)` to `(100)/(0.732)`
=241.5 to 136.6
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