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NEET Chemistry The Solid State / ठोस प्रावस्था Question Bank Self Evaluation Test - The Solid State

  • question_answer
    The cubic unit cell of a metal (molar mass = \[63.55g\text{ }mo{{l}^{-1}}\]) has an edge length of 362 pm. Its density is \[8.92g\text{ }c{{m}^{-3}}.\] The type of unit cell is

    A) primitive   

    B) face centered

    C) body centered   

    D) end centered

    Correct Answer: B

    Solution :

    [b] \[\rho =\frac{ZM}{{{N}_{A}}V}\] \[Z=\frac{\rho {{N}_{A}}V}{M}\] \[=\frac{8.92\times 6.02\times {{10}^{23}}\times {{\left( 362 \right)}^{3}}\times {{10}^{-30}}}{63.55}=4\] \[\therefore \] It has \[{{f}_{CC}}\] unit cell


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