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Question

# Lead metal has a density of 11.34 g cm−3 and crystallizes in a face-centered lattice. Choose the correct alternatives.

A
The volume of one unit cell is 1.214×1022 cm3
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B
The volume of one unit cell is 1.214×1019 cm3
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C
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D
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Solution

## The correct options are B The atomic radius of lead is 175 pm C The volume of one unit cell is 1.214×10−22 cm3The expression for density is given below:Density=Z×MNA×volumeVolume =4×2076.02×1023×11.34=1.213×10−22 cm3 For FCC, we have 4r=a√2r=4.95×10−8×√24=175 pmVolume =a3=1.213×10−22 cm3Edge length=a=(1.21310−24)13 ⟹a=4.95× 10−8 cm

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