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Q.

The cubic unit cell of aluminium (molar mass 27.0gmol−1) has an edge length of 405 pm. Its density is 2.70 g cm−3.  The type of unit cell is

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a

Face-centred

b

End-centred

c

Primitive

d

Body-centred

answer is B.

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Detailed Solution

N=ρa3NAM N=2.70gcm−3405×10−10cm36.022×1023mol−127.0gmol−1 N=4

The unit cell is face-centred cube.

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The cubic unit cell of aluminium (molar mass 27.0gmol−1) has an edge length of 405 pm. Its density is 2.70 g cm−3.  The type of unit cell is