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Ammonium chloride crystallizes in a body...

Ammonium chloride crystallizes in a body-centred cubic lattice with a unit distance of 387 pm. If the size of `Cl^(-)` ion is 181pm, the size of `NH_(4)^(+)` ion would be

A

206pm

B

116pm

C

174pm

D

154pm

Text Solution

Verified by Experts

Body diagonal of cube `=sqrt(3)a`
`=1.732xx387=670.3` pm
`2(r_(c)+r_(a))=arArr2r_(c)+r_(a))=670.3`
`r_(c)=(670.3)/(2)-181=154` pm
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