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Question

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


A

2.57×1021 unit cells

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B

5.14×1021 unit cells

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C

1.28×1021 unit cells

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D

1.71×1021 unit cells

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Solution

The correct option is A

2.57×1021 unit cells


NaClCl occupies corners and face centres Effectively 4Cl ions
Na+ occupies octahedral voids.
Effectively 4Na+ions.
1 unit cell has effectively 4 molecules of NaCl.
mass of unit cell =4×mass (NaCl)6.023×1023=4×58.56.023×1023
No. of unit cell in 1g=1g4×58.56.023×1023=2.57×1021 unit cells


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