JEE Main & Advanced Sample Paper JEE Main - Mock Test - 21

  • question_answer
    How many unit cells are present in a cube-shaped ideal crystal of \[NaCl\]of mass \[1.00\text{ }g\]? [Atomic masses:\[Na=23,\text{ }Cl=35.5\]]

    A) \[5.14\times {{10}^{21}}\]unit cells  

    B) \[1.28\times {{10}^{21}}\]unit cells

    C) \[1.71\times {{10}^{21}}\]unit cells  

    D) \[2.57\times {{10}^{21}}\]unit cells

    Correct Answer: D

    Solution :

    Since in \[NaCl\]type structure 4 formula units form a cell. \[58.5\text{ }g\]of \[NaCl=6.023\times {{10}^{23}}\]atoms \[1g\] of \[NaCl=\frac{6.023\times {{10}^{23}}}{58.5}\]atoms atoms constitute 1 unit cell \[\therefore \,\,\frac{6.023\times {{10}^{23}}}{58.5}\] atoms constitute \[=\frac{6.023\times {{10}^{23}}}{58.5\times 4}=2.57\times {{10}^{21}}\] unit cells.


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