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🧪 Chemistry  ·  Solid State  ·  NEET & JEE

A metal with BCC structure has edge length 400 pm. Its density is 5.96 g/cm³. The molar mass of the metal is approximately:

Answer: 56 g/mol.

  • A 48 g/mol
  • B 56 g/mol
  • C 96 g/mol
  • D 120 g/mol

Correct answer: B. 56 g/mol

Explanation: M = d × NA × a³ / Z = (5.96 × 6.022 × 10²³ × (4 × 10⁻⁸)³) / 2 = (5.96 × 6.022 × 10²³ × 64 × 10⁻²⁴) / 2 = (5.96 × 0.3854) / 2 × 100 ≈ 56 g/mol (iron).

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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