MEDIUMMCQ SINGLENEET ChemistryInorganic ChemistrySolid stateCu Ag Au

An element has a body-centred cubic (bcc) structures with a cell edge of 444 pm. The density of the element is 7.2 g/cm3. How many atoms are present in 404 g of the element?

A.3.12 × 1024 unit cells
B.9.24 × 1024 unit cells
C.6.41 × 1023 unit cells✓ Correct
D.12.08 × 1023 unit cells
Explanation

Volume of the unit cell = (444 pm)₃ 3 12 444 10 m x 3 10 444 10 cm x 23 3 8.75 10 cm x Volume of 404 g of the element 3 Mass 404 Density 7.2g cm 3 56.11cm ∴ Number of unit cells in this volume 23 3 56.11 8.75 10 cm / unit cell x 23 6.41 10 x unit cells

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