Chemistry - Solid State Question with Solution | TestHub

BCC structure, $\mathrm{Z}=2$ (Number of atoms in one unit cell) $$\begin{array}{rl}& \mathrm{d}=\frac{\mathrm{Z}\cdot \mathrm{M}}{{\mathrm{N}}_{\mathrm{A}}\cdot {\mathrm{a}}^3}\\ & \mathrm{a}=200\mathrm{pm}=200\times 10^{-10}\mathrm{cm}\text{ or }2\times 10^{-8}\mathrm{cm}\\ & 10=\frac{2\times \mathrm{M}}{6\times 10^{23}\times {\left(2\times 10^{-8}\right)}^3}\\ & 0=\frac{2\times \mathrm{M}}{6\times 10^{23}\times 8\times 10^{-24}}\\ & \mathrm{M}=\frac{10\times 6\times 10^{23}\times 10^{-24}\times 8}{2}\\ & =24\mathrm{g}/\mathrm{mol}\end{array}$$