VIT Engineering VIT Engineering Solved Paper-2009

  • question_answer
    The cubic unit cell of a metal (molar mass \[\Delta {{H}_{f}}(H)=218kJ/mol\]) has an edge length of 362 pm. Its density is \[H-H\]. The type of unit cell is

    A)  primitive        

    B)  face centred

    C)  body centred     

    D)  end centred

    Correct Answer: B

    Solution :

     Density, \[d=\frac{MZ}{{{N}_{0}}{{a}^{3}}}\] where, Z = number of atoms in unit cell \[\therefore \] \[Z=\frac{d{{N}_{0}}{{a}^{3}}}{M}\] \[=\frac{8.92\times 6.023\times {{10}^{23}}\times {{(362\times {{10}^{-10}})}^{3}}}{63.55}\] \[=4.0\] Thus, metal has face centred unit cell.


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