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Q.

An element crystallizes in a structure having fcc unit cell of an edge 200 pm. Calculate the density, if 100 g of this element contains 12 ×1023 atoms.

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a

41.66 g/cm3

b

20 g/cm3

c

10.25 g/cm3

d

1.025 g/cm3

answer is A.

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Detailed Solution

n = 100M = 12 ×10236×1023 =100M⇒ M = 50 ρ=4×506×1023×(200×10-10)3=41.66g/cm3

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An element crystallizes in a structure having fcc unit cell of an edge 200 pm. Calculate the density, if 100 g of this element contains 12 ×1023 atoms.