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Question

How many unit cells are present in a cube-shaped ideal crystal of NaCl of mass 1.00 g? [ Atomic masses : Na = 23, Cl = 35.5]

A
2.57×1021
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B
5.14×1021
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C
1.28×1021
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D
1.71×1021
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Solution

The correct option is D 2.57×1021
Molar mass of NaCl=58.5
1g of NaCl contains =158.5 moles of NaCl
1g of NaCl contains 158.5×6.022×1023 molecule of NaCl in cube-shaped ideal crystal of NaCl (Rock salt type)
4 molecule of NaCl are present as Cl present occupy the FCC lattice=4 ions of Ce
Na+ occupy the octanedral site =4 ions of Na+
1 unit cell contain 4 molecules of NaCl
1 molecule contain 14 unit cell
158.5×6.022×1023 molecule contains=158.5×6.022×10234 unit cell
Thus
1g of NaCl contain=2.57×1021 unit cell.

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