Chemistry - Solid State Question with Solution | TestHub

$$\mathrm{M}=180\mathrm{g}{\mathrm{mol}}^{-1},\rho =18\mathrm{g}{\mathrm{cm}}^{-3}\text{, }$$ For BCC crystal, $\mathrm{z}=2,\mathrm{a}=$ ? $$\begin{array}{rl}& \rho =\frac{M\times z}{a^3\times N_A}\therefore a^3=\frac{M\times z}{\rho \times N_A}\\ & \therefore a^3=\frac{180\mathrm{g}{\mathrm{mol}}^{-1}\times 2\text{ atom }}{18\mathrm{g}{\mathrm{cm}}^{-3}\times 6.022\times 10^{23}\text{ atom mol }}\\ & \therefore a^3=33.2\times 10^{-24}{\mathrm{cm}}^3\\ & \therefore a=\sqrt{33.2}\times 10^{-8}\mathrm{cm}\end{array}$$