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Silver crystallises in a face-centred cu...

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.

A

409 pm

B

818 pm

C

683 pm

D

653 pm

Text Solution

Verified by Experts

The correct Answer is:
A
For face-centred cubic unit, z = 4.
Let a be the edge length of the unit cell.
`d=(zM)/(N_(0)a^(3))," "a^(3)=(zM)/(N_(0)d)`
`a=((4xx108)/(6.02xx10^(23)xx10.5))^(1//3)=4.09xx10^(-8)cm=409"pm"`
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