JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank Topic Test - Solid State

  • question_answer
    Lithium borohydride crystallizes in an orthorhombic system with 4 molecules per unit cell. The unit cell dimensions are \[a=6.8\text{ }\overset{o}{\mathop{A}}\,,\,b=4.4\overset{o}{\mathop{A}}\,\] and \[c=7.2\overset{o}{\mathop{A.}}\,\] If the molar mass is 21.76, then the density of crystals is:

    A) \[0.6708\text{ }g\text{ }c{{m}^{-2}}\]

    B) \[1.6708\text{ }g\text{ }c{{m}^{-3}}\]

    C) \[2.6708\text{ }g\,\,c{{m}^{-3}}\]

    D) None of these.

    Correct Answer: A

    Solution :

    [a] \[d=\frac{ZM}{{{a}^{3}}{{N}_{A}}}=\]      \[\frac{4\times 21.76}{6.8\times {{10}^{-8}}\times 4.4\times {{10}^{-8}}\times 7.2\times {{10}^{-8}}\times 6.023\times {{10}^{23}}}\] \[=0.6708\,g\,c{{m}^{-2}}\]


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