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Question: The edge length of fcc cell is 508 pm. If radius of cation is 110 pm, the radius of anion is...

The edge length of fcc cell is 508 pm. If radius of cation is 110 pm, the radius of anion is

A

110 pm

B

220 pm

C

285 pm

D

144 pm

Answer

144 pm

Explanation

Solution

For fcc,

2(r++r)=a2(r_{+} + r_{-}) = a

2(110+r)=5082(110 + r_{-}) = 508

r=5082110=144pmr_{-} = \frac{508}{2} - 110 = 144pm