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The cubic unit cell of Al ( molar mass =...

The cubic unit cell of Al ( molar mass = 27 g `mol^(-1)`) has an edge length of 405 pm. Its density is `2.7 g cm^(-3)`. The cubic unit cell is `:`

A

body centred

B

primitive

C

edge centred

D

face centred

Text Solution

Verified by Experts

The correct Answer is:
D
`d = ( Z xx M )/( a^(3) xx N_(o))`
`d = 2.7 g cm^(-3) ,M = 27,a = 405 xx 10^(-10)cm`
`2.7 = ( Z xx 27)/( ( 405 xx 10^(-10))^(3) xx ( 6.02 xx 10^(23)))`
`:. Z = (( 405 xx 10^(-10))^(3) xx ( 6.02 xx 10^(23))xx 2.7)/( 27)=4`
`:.` Lattice is fcc lattice
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