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X-ray diffraction studies show that copp...

X-ray diffraction studies show that copper crystallises in an fcc unit cell with cell edge of `3.608 xx 10^(-8)` cm. In a separate experiment, copper is determined to have a density of `8.92 "g/cm"^3`, calculate the atomic mass of copper.

Text Solution

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The number of atoms per unit cell (Z) = 4
`therefore M = (d xx N_A xx a^3)/(Z)`
`therefore M = ((6.022 xx 10^(23) "atoms mol"^(-1)) (3.608 xx 10^(-8) "cm")^3)/("4 atoms")`
`therefore` M = 63.1 g/mol
Atomic mass of copper = 63.1 u
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