An unknown metal crystallises in a BCC structure. The edge length of its unit cell is and the theore — Solid State Chemistry Question

💡 Solution & Explanation

For BCC, $Z=2$ and packing fraction is $0.68$. Atomic radius $r = \frac{\sqrt{3} \times 288}{4} \approx 124.7\text{ pm}$. Atomic mass $M = \frac{d \times N_A \times a^3}{Z} = \frac{7.2 \times 6.02 \times 10^{23} \times (2.88 \times 10^{-8})^3}{2} \approx 51.8\text{ g/mol}$.