A solid element (monoatomic) exists in cubic crystal. If its atomic radius is 1.0 Å and the ratio of — Solid State Chemistry Question
Question
A solid element (monoatomic) exists in cubic crystal. If its atomic radius is 1.0 Å and the ratio of packing fraction and density is 0.1 cm³/g, then the atomic mass of the element is (Na = 6 × 10^23)
Answer: A
💡 Solution & Explanation
Packing fraction (PF) = Z × (4/3) π r³ / a³. Density (ρ) = Z × M / (Na × a³). The ratio PF / ρ = (4/3 π r³ × Na) / M. Substitute the given values: 0.1 = (4/3 × π × (10^-8 cm)³ × 6 × 10^23) / M => 0.1 = (8/10 π) / M => M = 8π g/mol.
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