Manipal Medical Manipal Medical Solved Paper-2009

  • question_answer
    Aluminium has fee structure. The length of the unit cell is 404 pm. If the density of the metal is\[2.7\text{ }g\text{ }c{{m}^{-3}},\]the molar mass of Al atom is

    A)  \[28\,g\,mo{{l}^{-1}}\]      

    B)  \[30\,g\,mo{{l}^{-1}}\]

    C)  \[26.80\text{ }g\,mo{{l}^{-1}}\]    

    D)  \[25\,g\,mo{{l}^{-1}}\]

    Correct Answer: C

    Solution :

     \[\because \]            \[Z=4\]for fee \[\Rightarrow \] \[M=\frac{d{{a}^{3}}{{N}_{A}}}{Z}\] \[=\frac{2.7\times {{(404\times {{10}^{-10}})}^{3}}\times 6.023\times {{10}^{23}}}{4}\] \[=26.80\text{ }g\text{ }mo{{l}^{-1}}\]


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