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A metal has cubic close-packed crystal s...

A metal has cubic close-packed crystal structure. Its density is `2.7g*cm^(-3)`. The radius of the metal atom is 1.43Å. Determine the atomic weight of the metal.

Text Solution

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`M=(rhoxxa^(3)xxN)/Z`. The unit cell of ccp structure is face-centred cubic. Hence, Z = 4.
`a=2sqrt2xxr=2sqrt2xx1.43xx10^(-8)=4.04xx10^(-8)cm`
`thereforeM=(2.7xx(4.04xx10^(-8))^(3)xx6.022xx10^(23))/4=26.8`
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