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The pyknometric density of sodium chlori...

The pyknometric density of sodium chloride crystal is `2.165xx10^(3)" kg m"^(-3)` while its X-ray density is `2.178xx10^(3)"kg m"^(-3)`. The fraction of unoccupied sites in sodium chloride crystal is

A

`5.96times10^(-3)`

B

5.96

C

`5.96times10^(-2)`

D

`5.96times10^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Pyknometric density = Observed density
`=2.165 times10^(3)kg" " m^(-3)`
X-ray density = Calculated density
=`2.178 times10^(3) kg" " m^(-3)`
Decrease in density
`=(2.178times10^(3)-2.165times10^(3))kg" " m^(-3)`
=`(0.013 times10^(3))kg" " m^(-3)=13kg" " m^(-3)`
Fraction of unoccupied sites
=`("Decrease in density")/("Calculated density")`
=`(13kg" " m^(-3))/(2.178times10^(3)kg" " m^(-3))=5.96times10^(-3)`
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