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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.

Grade:8

1 Answers

Sunil Kumar FP
askIITians Faculty 183 Points
6 years ago

Given that
Length of edge, a = 3.61x10–8 cm
Atomic mass of cupper, M = 63.55 g/mol
Avogadro constant, NA = 6.022x1023 per mol
Number of atoms in unit cell of FCC, Z= 4
Use formula of density
density=Z*M/a^3*Na
=4*63.55/(3.61*10^-8)^3*6.023*10^23
=8.92 g/cm^3

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