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Q.

An element has a cubic structure with a cell edge of 288 pm. The density of the element is 7.2 g cm-2. 208 g of the element has 24.16×1023 number of atoms. The unit cell of this cubic structure is   

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a

primitive 

b

body - centred

c

face - centred

d

hexagonal

answer is B.

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Detailed Solution

a=288 pm =288×10-12m=2.88×10-8cm

ρ=M×Za3×N0 Z=7.2 g cm-3×24.16×1023×(2.88×10-8cm)3208 =1.992

The unit cell is body centred.

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An element has a cubic structure with a cell edge of 288 pm. The density of the element is 7.2 g cm-2. 208 g of the element has 24.16×1023 number of atoms. The unit cell of this cubic structure is