Answer
$0.155 nm$
Work Step by Step
We have $r_{0}=r_{C}+r_{A}$ with $r_{C}$ and $r_{A}$, the radii of the cation and anion, respectively. Using equation 2.14, we find $r_{0}$ with $Z_{C}=+2 $ and $Z_{A}=-2 $
$r_{0}=\sqrt {\frac{(2.31\times{10}^{-28}N.m^{2})(|+2|)(|-2|)}{1.67\times{10}^{-8}N}}=0.235\times{10}^{-9}m=0.235nm
$
Thus, we obtain:
$r_{A}=r_{0}-r_{C}=0.235nm-0.080nm=0.155nm$