12th Class Chemistry The Solid State / ठोस प्रावस्था Question Bank Case Based (MCQs) - The Solid State

  • question_answer
    The empty space in this hcp unit cell is

    A) 74%

    B) 47.6%

    C) 32%

    D) 26%

    Correct Answer: D

    Solution :

    Packing fraction \[=\frac{Volume\,ofthe\,atoms\,in\,one\,unit\,cell}{Volume\,of\,one\,unit\,cell}\] \[=\frac{6\times \frac{4}{3}\pi {{r}^{3}}}{24\sqrt{2{{r}^{3}}}}=\frac{\pi }{3\sqrt{2}}=0.74=74%\] \[\therefore \] Empty space =26%


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