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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 of fcc lattice, number of atoms per unit cell,
`Z = 4` atoms
`:. Aw = (rhoN_(A) a^(3))/(Z_(eff))`
`(8.92 g cm^(3) xx 6.022 xx 10^(23) "atoms" mol^(-1) xx (3.608 xx 10^(-8) cm)^(3))/(4 "atoms")`
`= 63.1 g mol^(-1)`
Atomic mass of copper `= 63.1 mu`
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