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Q.

An element crystallizes in a structure having an fcc unit cell of edge length 100 pm. If 24g of the element contains 2.4 x1025 atoms, then the density (in g cm-3) of the crystal is

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answer is 4.

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Detailed Solution

Volume of unit cell =a3=100×10−103

=1×10−24cm3

No.of atoms in fcc unit cell = 4

Mass of unit cell =4×242.4×1025=4×10−24g

Density =4×10−241×10−24=4gcm−3

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