Solid State Question 35

Question: The pyknometric density of sodium chloride crystal is $ 2.165\times 10^{3}kg{{m}^{-3}} $ while its X-rays density is $ 2.178\times 10^{3}kg{{m}^{-3}} $ . The fraction of unoccupied sites in sodium chloride crystal is

[CBSE PMT 2003]

Options:

A) $ 5.96\times {{10}^{-3}} $

B) $ 5.96 $

C) $ 5.96\times {{10}^{-2}} $

D) $ 5.96\times {{10}^{-1}} $

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Answer:

Correct Answer: A

Solution:

Difference $ =2.178\times 10^{3}-2.165\times 10^{3} $

$ =0.013\times 10^{3} $
Fraction unoccupied $ =\frac{0.013\times 10^{3}}{2.178\times 10^{3}} $

$ =5.96\times {{10}^{-3}} $