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Copper metal crystallizes in face-centred cubic arrangement and surface of adjacent atoms along the edge of unit cell are 106 picometre apart. Determine the density of metal. Atomic mass of copper metal is 63.5 u. |
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Answer» Solution : According to the given information, a view of one FACE of the UNIT cell will be as shown below. In FCC: `4sqrt(2a)`  The given distance is a -`2r=a-(a)/(SQRT(2))` `=a[(sqrt(2)-1)/(sqrt(2))]`=106 pm `IMPLIES`Density `(rho)=(4xx63.5)/(6.023xx10^(23)(3.62xx10^(-8))^(3)` `=8.89 g//cm^(3)` |
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