Copper crystallises into a fcc lattice with edge length 3.61 × 10^–8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm^–3.

Question

Copper crystallises into a fcc lattice with edge length 3.61 × 10 –8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm –3 .

Philoid · Accepted Answer

Given, edge length (a) = 3.61 × 10 ^-8 cm

Given lattice is fcc, therefore, no. of atoms per unit cell (z) = 4

We know, atomic mass f copper = 63.5 g/mol

Avogadro number, N _A = 6.022 × 10²³ g/mol

To prove, density (d) = 8.92 g cm^-3

We know that, density

d = 8.9657 cm^-1

Hence, the calculated density = the density of copper = = 8.9657 cm^-1

Copper crystallises into a fcc lattice with edge length 3.61 × 10–8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm–3.

Copper crystallises into a fcc lattice with edge length 3.61 × 10^–8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm^–3.