Atomic mass of element(m)=40 gmol-1 length of unit cell(a)=400 pm=4× 10-8 cm; Z=4(Fcc).
Now density is given by the formula
Where Z is the number of an atom in the unit cell
M is the molecular mass
NA is the Avogadro number
V is the volume of the unit cell.
V=a3=(4× 10-8)3 cm =64× 10-24 cm3
Putting the values
Density, D=160/38.5=4.1 g cm-3
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