JCECE Medical JCECE Medical Solved Paper-2014

  • question_answer
    Iron crystallises in a bcc system with a lattice parameter of \[\text{2}\text{.861}\,\overset{\text{o}}{\mathop{\text{A}}}\,.\] Calculate the density  of iron in the bcc system (atomic weight of \[\text{Fe}=56,{{\text{N}}_{\text{A}}}=6.02\times {{10}^{23}}\,\text{mo}{{\text{l}}^{-}}\]).

    A) \[7.94g\,m{{L}^{-1}}\]        

    B) \[8.96\text{g}\,\text{m}{{\text{L}}^{-1}}\]

    C) \[2.78\text{g}\,\text{m}{{\text{L}}^{-1}}\]        

    D) \[6.72\text{g}\,\text{m}{{\text{L}}^{-1}}\]

    Correct Answer: A

    Solution :

     \[d=\frac{ZM}{{{N}_{A}}{{a}^{3}}}\](for bcc, \[Z=2\]) \[{{d}_{Fe}}=\frac{(2)\times 56.0\,g\,mo{{l}^{-1}}}{(6.02\times {{10}^{23}}mo{{l}^{-1}}){{(2.861\times {{10}^{-8}})}^{3}}c{{m}^{3}}}\] \[=7.94\,g\,M{{L}^{-1}}\]


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