Zaymiey

🧪 Chemistry  ·  Solid State  ·  NEET & JEE

The density of a crystal can be calculated using the formula d = ZM/(NA × a³). If Z = 4, M = 60 g/mol, a = 4 × 10⁻⁸ cm, and NA = 6 × 10²³, what is the density?

Answer: 4.17 g/cm³.

  • A 2.60 g/cm³
  • B 4.17 g/cm³
  • C 1.04 g/cm³
  • D 5.21 g/cm³

Correct answer: B. 4.17 g/cm³

Explanation: d = (4 × 60) / (6 × 10²³ × (4 × 10⁻⁸)³) = 240 / (6 × 10²³ × 64 × 10⁻²⁴) = 240 / 38.4 ≈ 4.17 g/cm³.

Cubic Unit Cells: Atom PositionsSimple CubicCN=6, 52.4% packedBody-Centred (BCC)CN=8, 68% packedFace-Centred (FCC)CN=12, 74% packed (densest)Corner atoms (shared by 8 cells) shown lighter; body/face-centre atoms shown solid

The three cubic unit cells: Simple Cubic has atoms only at corners; Body-Centred adds one atom at the centre; Face-Centred adds one atom at the centre of each of the 6 faces, giving the highest packing efficiency.

Concept context

Explore the ordered world of crystalline solids: unit cells, packing, defects, and how structure determines electrical and magnetic properties.

Read the full Solid State notes →