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An ionic solid A^(o+)B^(Θ) crystallizes ...

An ionic solid `A^(o+)B^(Θ)` crystallizes as an bcc structure. The distance between cation and anion in the lattice is `338 pm`. The edge length of cell is

A

`390.3` pm

B

`100` pm

C

`190.3` pm

D

`195.15` pm

Text Solution

Verified by Experts

The correct Answer is:
A
In a body centred cubic unit cell, the distance between the cation and anion `(r_(+)+r_(-))` is related to the edge length (a) by
`r^(+)+r^(-)=sqrt(3)xx(a)/(2)therefore a=(2)/sqrt(3)(r^(+)+r^(-))7`
It is given that `(r^(+)+r^(-))` =338 pm
`therefore a=(2)/sqrt(3)xx338`pm
`thereforea=(2)/sqrt(3)xx338` pm `=(676)/(1.732)=390.3`pm
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