JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Sample Paper Topic Test - Solid State

  • question_answer
    How many unit cells are present in a cube-shaped ideal crystal of \[NaCl\] of mass 1.00g? [Atomic masses: Na = 23, Cl = 35.5]

    A) \[2.57\times {{10}^{21}}\] unit cells      

    B) \[5.14\times {{10}^{21}}\] unit cells

    C) \[1.28\times {{10}^{21}}\] unit cells

    D) \[1.71\times {{10}^{21}}\] unit cells

    Correct Answer: A

    Solution :

    [a] \[\frac{1}{58.5}\times 6.023\times {{10}^{23}}=1.029\times {{10}^{22}}\]
    A unit cell contains \[4N{{a}^{+}}\] ion and \[4C{{l}^{-}}\] ions
    \[\therefore \] Unit cell\[\text{=}\frac{1.029\times {{10}^{22}}}{4}=2.57\times {{10}^{21}}\] unit cell


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