Chemistry - Solid State Question with Solution | TestHub

The volume occupied by a particle is the volume of the spherical particle itself.

Given the radius of the particle, $r=190\text{ pm}=190\times 10^{-10}\text{ cm}=1.9\times 10^{-8}\text{ cm}$.

Volume of one particle is given by:

$V=\frac{4}{3}\pi r^3$

Substituting the value of $r$:

$V=\frac{4}{3}\times 3.1416\times (1.9\times 10^{-8}\text{ cm}{)}^3$

$V=4.1888\times 6.859\times 10^{-24}{\text{ cm}}^3$

$V=28.73\times 10^{-24}{\text{ cm}}^3=2.873\times 10^{-23}{\text{ cm}}^3$

Answer: $2.873\times 10^{-23}{\text{cm}}^3$