[Olympiad] A metal with atomic mass 60 g/mol crystallizes in a simple cubic lattice with edge length 200 pm. Calculate its density (in g/cm³).
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6.24
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12.45
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24.90
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8.31
📝 Detailed explanation
Z = 1 (simple cubic). Density = (Z * M) / (Na * a³). a = 200 pm = 2 × 10⁻⁸ cm. a³ = 8 × 10⁻²⁴ cm³. Density = (1 * 60) / (6.022 × 10²³ * 8 × 10⁻²⁴) = 60 / 4.8176 ≈ 12.47 g/cm³.
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