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

  • question_answer
    A molecule \[{{A}_{2}}B\](Mwt. = 166.4) occupies triclinic lattice with a \[5\overset{\text{o}}{\mathop{\text{A}}}\,,\text{ }b=8\overset{\text{o}}{\mathop{\text{A}}}\,,\] and \[c=4\overset{\text{o}}{\mathop{\text{A}}}\,.\] If the density of \[A{{B}_{2}}\] is\[5.2\text{ }g\text{ }c{{m}^{-3}}\], the number of molecules present in one unit cell is

    A) 2                     

    B) 3     

    C) 4                     

    D) 5

    Correct Answer: B

    Solution :

    [b] Volume of unit cell \[=a\times b\times c\] \[=5\times {{10}^{-8}}\times 8\times {{10}^{-8}}\times 4\times {{10}^{-8}}\] \[=1.6\times {{10}^{-22}}c{{m}^{3}}\] Mass of unit cell \[=1.6\times {{10}^{-22}}\times 5.2\] \[=8.32\times {{10}^{-22}}g\] Number of molecules in one unit cell \[=\frac{8.32\times {{10}^{-22}}}{166.4gmo{{l}^{-1}}}=3\]


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