1.

Silver crystallises in a face-centred cubic unit cell. The density of Ag is `10.5 g cm^(-3)` . Calculate the edge length of the unit cell.

Answer» For face-centred cubic unit, Z=4
We know that , `V=(ZxxM)/(N_(0)xxd)`
`=(4xx108)/((6.023xx10^(23))xx10.5)=6.83xx10^(-23)`
`=68.3xx10^(-24)`
Let a be the edge length of the unit cell.
So, `V=a^(3)`
or `a^(3)=68.3xx10^(-24)`
`a=(68.3xx10^(-24))^(1//3) cm`
`=4.09xx10^(-8)` cm
=409 pm


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