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

  • question_answer
    If NaCl is doped with mol% \[SrC{{l}_{2}},\] what is the concentration of cation vacancies?

    A)  \[6.02\times {{10}^{18}}mo{{l}^{-1}}\]

    B) \[6.02\times {{10}^{19}}mo{{l}^{-1}}\]

    C) \[6.02\times {{10}^{23}}mo{{l}^{-1}}\]

    D) \[6.02\times {{10}^{26}}mo{{l}^{-1}}\]

    Correct Answer: A

    Solution :

    [a] Doping of NaCl with \[{{10}^{-3}}\]mol% \[SrC{{l}_{2}}\] means that 100 moles of NaCl are doped with \[{{10}^{-3}}\] mol of \[SrC{{l}_{2}}\].
    \[\therefore \] 1 mole of NaCl is doped with \[SrC{{l}_{2}}=({{10}^{-3}}/100)\] mol \[={{10}^{-5}}\] mol
    As each \[S{{r}^{2+}}\] ion introduces one cation vacancy, therefore concentration of cation vacancies
    \[={{10}^{-5}}\text{mol/mol}\] of NaCl
    \[={{10}^{-5}}\times 6.02\times {{10}^{23}}\text{mo}{{\text{l}}^{-1}}\]
    \[=6.02\times {{10}^{18}}mo{{l}^{-1}}\]


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