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Question

Copper crystallizes in fcc structure and the edge length of the unit cell is 3.61Ao. Hence the density of copper is:
(atomic mass of Cu=63.5 g mol1)

A
5.17 g cm3
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B
0.72 g cm3
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C
7.09 g cm3
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D
8.97 g cm3
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Solution

The correct option is D 8.97 g cm3
The density ρ=Z×MN0×a3
Z=4 atoms= number of Cu atoms in one fcc unit cell.
M=63.5 g/mol= atomic mass of copper.
N0=6.023×1023 atoms/mole= Avogadro's number.
a=3.61 Ao=3.61×108 cm= edge length of the unit cell.
The density ρ=Z×MN0×a3
The density ρ=4 atoms×63.5 g/mol6.023×1023 atoms/mole×(3.61×108 cm)3
The density ρ=8.97 g cm3

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