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JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank Critical Thinking The Solid State

  • question_answer
    An element (atomic mass \[100g/mol)\] having \[bcc\] structure has unit cell edge \[400\,\,pm.\] Then density of the element is [CBSE PMT 1996; AIIMS 2002]

    A) \[10.376\,\,g/c{{m}^{3}}\]           

    B) \[5.188\,\,g/c{{m}^{3}}\]

    C) \[7.289\,\,g/c{{m}^{3}}\]             

    D) \[2.144\,\,g/c{{m}^{3}}\]

    Correct Answer: B

    Solution :

    • \[\rho =\frac{n\times M}{{{a}^{3}}\times {{N}_{0}}\times {{10}^{-30}}}\]                                
    • \[=\frac{2\times 100}{{{(400)}^{3}}\times (6.02\times {{10}^{23}})\times {{10}^{-30}}}\]\[=5.188\,g/c{{m}^{3}}\]


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