Question

what will be the atomic radius of copper, if the distance between two adjacent copper atoms in metallic copper is 256 pm?
a 128 pm
b 256 pm
c 512 pm
d 140 pm

Explanation:

Step1: Recall atomic - radius concept

The distance between two adjacent atoms is equal to 2 times the atomic radius for simple - cubic and some other arrangements. Let the atomic radius be $r$ and the distance between two adjacent atoms be $d$. Then $d = 2r$.

Step2: Solve for atomic radius

Given $d=256$ pm, we can solve for $r$ using the formula $r=\frac{d}{2}$. Substituting $d = 256$ pm into the formula, we get $r=\frac{256}{2}=128$ pm.

Answer:

A. 128 pm