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An element with molor mass 27 g mol^(-1)...

An element with molor mass `27 g mol^(-1)` forms a cubic unit cell with edge length `4.05 xx 10^(-8) cm`. If its density is `2.7 g cm^(-3)`, what is the nature of the unit cell?

Text Solution

Verified by Experts

The correct Answer is:
BCC
`p = ( Z xx M)/(a^(3)xx N_(A)) or Z = (pxx a^(3) xx N_(A))/M = (( 2.7 " g cm"^(-3)) (4.05xx10^(-8)"cm")^(3)(6.02xx10^(23)"mol"-1))/( 27 " g mol"^(-1))=4`
Hence , it has face -centred cubic unit cell.
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