NEET Sample Paper NEET Sample Test Paper-59

  • question_answer
    The pyknometric density of sodium chloride crystal is \[2.165\times {{10}^{3}}kg{{m}^{-3}}\]  while its x-ray density is\[2.178\times {{10}^{3}}\,Kg{{m}^{-3}}\]. The fraction of unoccupied sites in sodium chloride crystal is:

    A) \[5.96\]      

    B)                           \[5.96\times {{10}^{-2}}\]

    C) \[5.96\times {{10}^{-1}}\]        

    D) \[5.96\times {{10}^{-3}}\]

    Correct Answer: D

    Solution :

    [d] \[5.96\times {{10}^{-3}}\] Molar volume from pyknometric density, \[=\frac{M}{2.165\times {{10}^{3}}}{{m}^{3}}\] Molar volume fro x -ray density \[=\frac{M}{2.178\times {{10}^{3}}}{{m}^{3}}\] \[\therefore \]volume occupied             \[=\frac{M}{{{10}^{3}}}\left( \frac{1}{2.165}-\frac{1}{2.178} \right){{m}^{3}}\]             \[=\frac{0.013M\times {{10}^{-3}}}{2.165\times 2.178}\]             \[\therefore \]fraction occupied \[=\frac{(0.013\times {{10}^{3}})}{2.165\times 2.178}\div \frac{M\times {{10}^{-3}}}{2.165}\] \[=5.96\times {{10}^{-3}}\]


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