24. Lead sulphide has face-centred cubic crystal structure. If
the edge length of the unit cell of lead sulphide is 495 pm,
calculate the density of the crystal (at. wt. pb = 207, S = 32)
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Atomic weight, Pb=207,S=32
Molecular weight (M) of PbS=207+32=239 g/mol.
An fcc unit cell has 4 formula units (Z) per unit cell.
The edge length (a) of the unit cell of lead sulphide is 495pm or 495×10−10 cm
The density d=a3NAZM
d=(495×10−10)3×6.023×10234×239
d=13.1g/cm3
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