CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    The cubic unit cell of Al (molar mass 27 g \[mo{{l}^{-1}}\]) has an edge length of 405 pm. Its density is\[2.7\text{ }g\text{ }c{{m}^{-3}}\]. The cubic unit cell is

    A)  face centred  

    B)         body centred

    C)  primitive            

    D)         edge centred

    E)  simple

    Correct Answer: A

    Solution :

    Density \[(\rho )=\frac{Z\times M}{{{a}^{3}}\times {{N}_{0}}}\] \[2.7=\frac{Z\times 27}{{{(405\times {{10}^{-10}})}^{3}}\times 6.023\times {{10}^{23}}}\] \[Z=\frac{2.7\times {{(405)}^{3}}\times {{10}^{-30}}\times 6.023\times {{10}^{23}}}{27}\] \[=4\] For face centred cubic unit cell, number of atoms are 4.


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