Solid StateHard

Question

Lead metal has a density of 11.34 g/cm3 and crystallizes in a face-centered lattice. Choose the correct alternatives

Options

A.the volume of one unit cell is 1.214 × 10-22 cm3
B.the volume of one unit cell is 1.214 × 10-19 cm3
C.the atomic radius of lead is 175 pm
D.the atomic radius of lead is 155.1 pm

Solution

Density = so,  Volume = = 1.213 × 10-22 cm3;    4r = a√2
r = = 175 pm
Volume = a3 = 1.213 × 10-22
so,     a = (1.213 × 10-24)1/3
a = 4.95 × 10-8 cm. 

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