Chemistry - Solid State Question with Solution | TestHub

Mass of one unit cell is given by $\rho \times a^3=1.58\times 10^{-22}\text{ g}$.

Number of unit cells in $1.58\text{ g}$ of metal = $\frac{\text{Total mass}}{\text{Mass of one unit cell}}=\frac{1.58}{1.58\times 10^{-22}}=1.0\times 10^{22}$.

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

Total number of atoms = $Z\times \text{Number of unit cells}=2\times 1.0\times 10^{22}=2.0\times 10^{22}$.

Answer: $2.0\times 10^{22}$