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An element (atomic mass = 100) having BCC structure has unit cell edge length 400 pm. The density ofSolid State Chemistry Question

Question

An element (atomic mass = 100) having BCC structure has unit cell edge length 400 pm. The density of this element will be ($N_A = 6 \times 10^{23}$)

Answer: A

💡 Solution & Explanation

For BCC, $Z=2$. Density $d = \frac{Z \times M}{N_A \times a^3} = \frac{2 \times 100}{6 \times 10^{23} \times (400 \times 10^{-10})^3} = \frac{200}{6 \times 10^{23} \times 64 \times 10^{-24}} = \frac{200}{38.4} \approx 5.2$ g/ml. Therefore, correct answer is A.

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