Question

The edge length of a face centered cubic cell of an ionic substance is 508 pm .If the radius of the carbon is 110pm , the radius of the anion is

Answer 1

Answer : The radius of anion is, 144 pm

Explanation :

The formula used for the calculation of radius of anion in face centered cubic cell is,

$a=2(r^++r^-)$

where,

a = edge length = 508 pm

$r^+$ = radius of cation = 110 pm

$r^-$ = radius of anion = ?

Now put all the given values in the above formula, we get the radius of anion.

$508pm=2(110pm+r^-)$

$r^-=144pm$

Therefore, the radius of anion is, 144 pm