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The edge length of sodium chloride unit ...

The edge length of sodium chloride unit cell is 564 pm. If the size of `Cl^(-)` ion is 181 pm. The size of `Na^(+)` ion will be

A

101 pm

B

167pm

C

202 pm

D

383 pm

Text Solution

Verified by Experts

The correct Answer is:
A
Sodium chloride has a face centred cubic unit cell. Cation and anion touch each other along the edge of the cube.
`2r_(c)+2r_(a)=a`
`2(r_(c)+181 "pm")=564 "pm"`
`r_(c)=(564)/(2)-181 =101 "pm"`
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