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X-rays diffraction studies show that cop...

`X`-rays diffraction studies show that copper crystallizes in an fcc unit cell with cell edge of `3.608 xx 10^(-8) cm`. In a separte 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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In case fo fcc lattice, number of atoms per unit cell, z = 4 atoms.
Therefore, `M=(pN_(0)a^(3))/(Z)`
`=((8.92"g cm"^(-3))xx(6.022xx10^(23)"atoms mol"^(-1))xx(3.608xx10^(-8)"cm")^(3))/(("4 atmos"))=63.1"g/mol"`.
Atomic mass of copper = 63.1 u.
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