NEET Chemistry NEET PYQ-The Solid State

  • question_answer
    Lithium has a bcc structure. Its density is \[530\,kg\,{{m}^{-3}}\] and its atomic mass is \[6.94\text{ }g\text{ }mo{{l}^{1~}}\]. Calculate the edge length of a unit cell of Lithium metal. \[({{N}_{A}}=\text{ }6.02\text{ }\times \text{ }{{10}^{23}}\text{ }mo{{l}^{1}})\][NEET - 2016]

    A) 154 pm

    B) 352 pm

    C) 527 pm

    D) 264 pm

    Correct Answer: B

    Solution :

    [b] \[\rho =\frac{Z\times M}{{{N}_{A}}\times {{a}^{3}}}\]
    For bcc structure
    \[Z=2,\,\,\rho =530\,kg\,{{m}^{-3}}=0.530\,g\,c{{m}^{-3}}\]
    \[0.530=\frac{2\times 6.94}{6.02\times {{10}^{23}}\times {{a}^{3}}}\]
    \[{{a}^{3}}=4.348\times {{10}^{-23}}\,c{{m}^{3}}\]
    \[a=3.52\times {{10}^{-8}}\,cm\]
    \[a=352\,pm\]


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