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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 `NaCl` crystal is

A

5.96

B

`5.96 xx 10^(-2)`

C

`5.96 xx 10^(-1)`

D

` 5.96 xx 10^(-3)`

Text Solution

Verified by Experts

Molar volume from pyknometric density
` = M/(2.165 xx 10^(3)) m^(3)`
Molar volume from X-ray density
` M/(2.178 xx 10^(3)) m^(3)`
Volume unoccpied
`M/10^(3) ( 1/(2.165) - 1/(2.178))m^(3) = (( 0.013 M xx10^(-3))/(2.165 xx 2.178))//((M xx 10^(-3))/2.165) = 5.96 xx 10^(-3)`
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