JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank Mathematical analysis of cubic system and Bragg's equation

  • question_answer
    The number of atoms in \[100\,\,g\] of an \[fcc\] crystal with density \[d=10\,\,g/c{{m}^{3}}\] and cell edge equal to \[100\,\,pm,\]is equal to              [CBSE PMT 1994; KCET 2002]

    A)                 \[4\times {{10}^{25}}\] 

    B)                 \[3\times {{10}^{25}}\]

    C)                 \[2\times {{10}^{25}}\]

    D)                 \[1\times {{10}^{25}}\]

    Correct Answer: A

    Solution :

           \[M=\frac{\rho \times {{a}^{3}}\times {{N}_{0}}\times {{10}^{-30}}}{z}\]                    \[=\frac{10\times {{(100)}^{3}}\times (6.02\times {{10}^{23}})\times {{10}^{-30}}}{4}=15.05\]                 No. of atoms in 100 g \[=\frac{6.02\times {{10}^{23}}}{15.05}\times 100\]\[=4\times {{10}^{25}}\].


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