Aluminium crystallises in a face-centred cubic lattice. The edge length of the unit cell of aluminium is 4.05 x 10-10m. What is the density of aluminium? (Atomic mass of Al=27)

Aluminium crystallises in a face-centred cubic lattice. The edge length of the unit cell of aluminium is 4.05 x 10-10m. What is the density of aluminium? (Atomic mass of Al=27)

Solutions

Expert Solution

Answer : 2700 kg/m³

Explanation :

Given :

Atomic mass, M = 27 amu

For FCC structure, Z = 4

Avogadro number, N = 6.02 × 10²³

Edge length of unit cell, a = 4.05 °A

The density of aluminium (ρ)

= (Z × M)/(a³ × N)

= (4 × 27)/((4.05 × 10-10)³ × 6.02 × 10²³)

= 2700 kg/m³.

2700 kg/m³

Rakesh answered 1 year ago

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