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

  • question_answer
    PbS has NaCl type structure. The distance between \[P{{b}^{2+}}\] and \[{{S}^{2-}}\] ions is 297 pm. What is the volume of unit cell of PbS?

    A) \[209.6\times {{10}^{-24}}c{{m}^{3}}\]

    B) \[207.8\times {{10}^{-23}}c{{m}^{3}}\]

    C) \[22.3\times {{10}^{-23}}c{{m}^{3}}\]

    D) \[209.8\times {{10}^{-23}}c{{m}^{3}}\]

    Correct Answer: A

    Solution :

    [a] \[({{r}_{p{{b}^{2}}}}+{{r}_{{{S}^{2-}}}})=\frac{a}{2}\]
    Edge length of unit cell \[=2\times 297pm\]
    \[=594\times {{10}^{-10}}cm\]
    Volume of unit cell
    \[={{(594\times {{10}^{-10}})}^{3}}cm=209.6\times {{10}^{-24}}c{{m}^{3}}\]


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