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Q.

How many unit cells are present in a cube-shaped crystal of NaCl of mass 1.00 g?

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a

1.28×1021

b

5.14×1021

c

2.57×1021

d

1.71×1021

answer is A.

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Detailed Solution

Molar mass of NaCl=58.5

NaCl comprises in 1g =158.5 moles of NaCl

NaCl comprises in 1g 158.5×6.022×1023 NaCl molecule in an ideal, cube-shaped crystal (Rock salt type)

As 4 ions of Ce are present in the FCC lattice, there are 4 molecules of NaCl present.

Na+ occupy the octanedral site =4 ions of Na+

NaCl is present in four molecules per unit cell.

One molecule contains four by one unit cells.

158.5×6.022×1023 molecule=158.5×6.022×10234 unit cell 

contain.

In 1g of NaCl, there =2.57×1021 unit cell. 

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