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🧪 Chemistry  ·  Solid State  ·  NEET & JEE

For a crystal of NaCl (Z = 4, M(NaCl) = 58.5 g/mol, a = 5.64 × 10⁻⁸ cm), the density is approximately:

Answer: 2.16 g/cm³.

  • A 1.54 g/cm³
  • B 2.16 g/cm³
  • C 3.00 g/cm³
  • D 4.28 g/cm³

Correct answer: B. 2.16 g/cm³

Explanation: d = ZM/(NA × a³) = (4 × 58.5)/(6.022 × 10²³ × (5.64 × 10⁻⁸)³) = 234/(6.022 × 10²³ × 1.794 × 10⁻²²) = 234/108.07 ≈ 2.16 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.

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