Total volume of atoms present in a face centred cubic unit c... | Chemistry | SolveeIt | Solveeit

Today, August 18

Question

Total volume of atoms present in a face centred cubic unit cell of a metal is ( $r$ is atomic radius)

A

$\frac{16}{3}\pi {{r}^{3}}$

B

$\frac{20}{3}\pi {{r}^{3}}$

C

$\frac{24}{3}\pi {{r}^{3}}$

D

$\frac{12}{3}\pi {{r}^{3}}$

Answer

$\frac{16}{3}\pi {{r}^{3}}$

Explanation

Solution

In fee unic cell $z = 4$ Hence, occupied volume by sphere $=4\times \frac{4}{3}\pi r^3$ $=\frac{16}{3}\pi r^3$