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Question

Silver crystallizes in fcc structure with edge length of unit cell, 408.7pm. Hence density of silver is (Ag=108 g mol1)

A
10.5 g cm3
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B
9.82 g cm3
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C
12.06 g cm3
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D
8.86 g cm3
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Solution

The correct option is B 10.5 g cm3
Density ρ=Z×MN0×a3
Z=4 atoms= number of atoms in fcc unit cell
M=108 g/mol= atomic mass of silver
N0=6.023×1023 atoms/mol= Avogadro's number
a=408.7 pm=408.7×1010 cm= edge length of unit cell
ρ=Z×MN0×a3
ρ=4 atoms×108 g/mol6.023×1023 atoms/mol×(408.7×1010 cm)3
ρ=10.5 g/cm3

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