12th Class Chemistry The Solid State / ठोस प्रावस्था Question Bank MCQs - The Solid State

  • question_answer
    The density of a metal which crystallises in bcc lattice with unit cell edge length 300 pm and molar mass \[50\text{ }g\text{ }mo{{l}^{-1}}\]will be

    A) \[10\text{ }g\text{ }c{{m}^{-\,3}}\]

    B) \[14.2\text{ }g\text{ }c{{m}^{-\,3}}\]

    C) \[6.15\text{ }g\text{ }c{{m}^{-\,3}}\]

    D) \[9.32\text{ }g\text{ }c{{m}^{-\,3}}\]

    Correct Answer: C

    Solution :

    \[d=\frac{Z\times M}{{{a}^{3}}\times {{N}_{A}}}\] For bee structure, Z = 2 \[d=\frac{2\times 50}{6.023\times {{10}^{23}}\times {{(300\times {{10}^{-10}})}^{3}}}=6.15g\,c{{m}^{-3}}\]


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