Metallic copper form s face-centred cubic unit cell. The density of copper is 8.9g/cm3 and atomic weight of copper is 63.5. Calculate the edge length of the unit cell
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Mass of one atom of copper =Avogadro’s numberMolar mass of copper=6.023×102363.5=1.054×10−22 g
Mass of the unit cell =4×1.054×10−22 g
Volume of the unit cell =DensityMass of copper=8.954×1.054×10−22=4.71×10−23 cm3
Volume of unit cell =88r3
Hence, r3=884.71×10−23=2.07×10−24 cm3
Hence, the radius of copper atom is 1.28×10−8 cm.
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