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Chemistry Question on The solid state

The pyknometric density of sodium chloride crystal is 2.165×103 kg m–3 while its X-ray density is 2.178×103 kg m–3. The fraction of unoccupied sites in sodium chloride crystal is:

A

5.96

B

5.96×10–2

C

5.96×10–1

D

5.96×10–3

Answer

5.96×10–3

Explanation

Solution

Fraction of unoccupied sites= X−ray density−Pyknometric densityX−ray density\frac {X-ray\ density - Pyknometric \ density }{X-ray\ density}
Given the values:
Pyknometric density (ρp) = 2.165×103 kg/m32.165×10^3\ kg/m^3
X-ray density (ρx) = 2.178×103 kg/m32.178×10^3\ kg/m^3
Fraction of unoccupied sites= 2.178×103 kg/m3−2.165×103 kg/m32.178×103 kg/m3\frac {2.178×10^3\ kg/m^3−2.165×10^3\ kg/m^3}{2.178×10^3\ kg/m^3}
Fraction of unoccupied sites= 132.178×103\frac {13}{2.178×10^3}
Fraction of unoccupied sites= 5.96×10−35.96×10^{−3}

So, the correct answer is (D): 5.96×10−35.96×10^{−3}