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Question

Copper crystallises in fcc unit cell with cell edge length of 3.608×108 cm. The density of copper is 8.92 g cm3. Calculate the atomic mass of copper.

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Solution

d=Z×Ma3×NA
8.92 g cm3=4×M(3.608×108)3×6.023×1023
M=8.92 g cm3×(3.608×108)3 cm3×6.023×10234
M=8.92×46.96×6.023×101 g4
M=8.92×4.686×6.0234=63.07 g/mol
Atomic mass of Cu=63.07 u
63.1 u

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