Chemistry - Solid State Question with Solution | TestHub

Mass of one unit cell is given by $\rho \times a^3=3.25\times 10^{-22}$ g.

For a body-centered cubic (bcc) structure, the number of atoms per unit cell is $Z=2$.

Mass of one atom = $\frac{\text{Mass of unit cell}}{Z}=\frac{3.25\times 10^{-22}}{2}=1.625\times 10^{-22}$ g.

Total number of atoms in $1.625$ g of the metal = $\frac{\text{Total mass}}{\text{Mass of one atom}}$

Number of atoms = $\frac{1.625}{1.625\times 10^{-22}}=1.0\times 10^{22}$

Answer: $1.0\times 10^{22}$