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Question

An element (atomic mass 100 g/mol) having bcc structure has a unit cell edge of 400 pm. Then the density of the element is


A
10.376 g/cm3
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B
5.188 g/cm3
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C
7.289 g/cm3
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D
2.144 g/cm3
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Solution

The correct option is D: 5.188 g/cm3

No.of atoms in BCC (z) =2

The atomic mass of an element (M) = 100 g/mol

Cell edge length(a) = 400pm = 400×1010cm


d=z×Ma3×NA=2×100(400×1010)3×(6.023×1023)=5.188 g/cm


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