Q.

An element has a body centred cubic (bcc) structure 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?

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a

9.24 x 1024 unit cell

b

3.12 x 1024 unit cells

c

12.08 x 1023 unit cells

d

6.41 x1023 unit cells

answer is C.

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Detailed Solution

Volume of the unit cell = (444 pm)3
                                    =(444x10-10cm)3
                                    =8.75x10-23cm3
Volume of 404 g of the element =massdensity
                                                   =404 g7.2 g cm-3=56.11 cm3
Number of unit cells in this volume
                              =56.11cm38.75×10-23cm3/unit cell=6.41×1023 unit cells

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