JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    Iron crystallises in a bcc system with a lattice parameter of\[2.861\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. Calculate the density of iron in the bcc system (atomic weight of\[Fe=56,\,\,{{N}_{A}}=6.02\times {{10}^{23}}mo{{l}^{-1}})\].

    A) \[7.94\,\,g\,\,m{{L}^{-1}}\]                         

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

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

    D)  \[6.72\,\,g\,\,m{{L}^{-1}}\]

    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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