Density of a unit cell is the same as the density of the substances. So, if the density…
Chemistry · JEE Advanced · NTA Exams — Solid State
Density of a unit cell is the same as the density of the substances. So, if the density of the substance is known, we can calculate the number of atoms or dimesions of the unit cell. The density of the unit cell is related to its mass (M), number of atoms per unit cell (Z), edge length (a in cm), and Avogadro’s constant NA as :
\(\rho=\frac{\mathrm{Z} \times \mathrm{M}}{\mathrm{a}^{3} \times \mathrm{N}_{\mathrm{A}}}\)
An element X crystallizes in a structure having an fcc unit cell of an edge 100 pm. If 24 g of the element contains 24 × 1023 atoms, the density is
- 2.40 g cm–3
- 40 g cm–3
- 4 g cm–3
- 24 g cm–3
Answer
(B) 40 g cm –3
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