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Copper (atomic mass = 63.5g*mol^(-1)) ha...

Copper (atomic mass = `63.5g*mol^(-1)`) has a crystal structure of cubical shape. A 6.35 g sample of copper contains `1.506xx10^(22)` unit cells. What type of unit cell does the copper crystal consists of ?

Text Solution

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Number of atoms in 6.35 g of copper
`=6.35/63.5xx6.022xx10^(23)=6.022xx10^(22)`
Since, `1.506xx10^(22)` unit cells `-=6.022xx10^(22)` Cu atoms
Therefore, 1 unit cell `-=(6.022xx10^(22))/(1.506xx10^(22))~~4` Cu atoms.
Thus, one unit cell of copper crystal contains 4 Cu atoms, indicating copper crystal has face-centred cubic unit cell.
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