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Question

The density of copper is 8.95 g cm3. It has a face-centered cubic structure. What is the radius of copper atom?
(Atomic mass of Cu =63.5 g mol1, NA=6.02×1023 mol1)

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Solution

Mass of one atom of copper =Molar mass of copperAvogadro's number=63.56.023×1023=1.054×1022 g
Mass of the unit cell =4×1.054×1022 g
Volume of the unit cell =Mass of copperDensity=4×1.054×10228.95=4.71×1023 cm3
Volume of unit cell =88r3
Hence, r3=4.71×102388=2.07×1024 cm3
Hence, the radius of copper atom is 1.28×108 cm.

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