Question

an element with molar mass 63g/mol forms a cubic unit cell with edge length of 360.8 pm if its density is 8.92 g/cm3. what is the nature of the cubic unit cell

Answer 1

#76133 Chemistry, Other

An element with molar mass 63 g/mol forms a cubic unit cell with edge length of 360.8 pm if its density is 8.92 g/cm³. What is the nature of the cubic unit cell.

Answer:

d = (n × M) / (a³ × Nₐ)

where d – density of crystal;

n – number of atoms in crystal;

M – atomic mass;

Nₐ – Avogadro number.

8.92 = (n × 63) / ((3.608 × 10⁻⁸)³ × 6.022 × 10²³)

From this n ≈ 4

4 atoms in the crystal indicates that cubic unit cell is hexagonal with close packing.

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