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

  • question_answer
    A metal has a /cc lattice. The edge length of the unit cell is 404 pm. The density of the metal is \[2.72\,\,g\,\,c{{m}^{-\,3}}\]. The molar mass of the metal is \[({{N}_{A}}\] Avogadro's constant \[=6.02\times {{10}^{23}}mo{{l}^{-1}})\]

    A) \[27\,\,g\,\,mo{{l}^{-1}}\]

    B) \[20\text{ }g\text{ }mo{{l}^{-1}}\]

    C) \[40\text{ }g\text{ }mo{{l}^{-1}}\]

    D) \[30\text{ }g\text{ }mo{{l}^{-1}}\]

    Correct Answer: A

    Solution :

    \[d=\frac{ZM}{{{N}_{A}}{{a}^{3}}}\]                        (Z=4 for fcc) \[M=\frac{d\times {{N}_{A}}\times {{a}^{3}}}{Z}\] \[=\frac{2.72\times 6.023\times {{10}^{23}}\times {{(404\times {{10}^{-10}})}^{3}}}{4}\] \[M=26.99\approx 27g\,mo{{l}^{-1}}\]


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