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Q.

Aluminium metal has a density $2.72 g / c m^{3}$ and crystalise in a cubic lattice with an edge of 405 pm. Which are correct

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a

It forms F.C.C unit cell

b

It forms B.C.C unit cell

c

It’s nearest neighbouring distance is $\frac{a}{\sqrt{2}}$

d

Its coordination number is 12

answer is A, C, D.

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Detailed Solution

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$d = \frac{Z \times M}{a^{3} \times N A}$

$2.72 = \frac{z \times 27}{6.023 \times 10^{23} \times {(4.04 \times 10^{- 8})}^{3}}$

$z = 4$ (F.C.C)

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Aluminium metal has a density 2.72g/cm3 and crystalise in a cubic lattice with an edge of 405 pm. Which are correct