12th Class Chemistry The Solid State / ठोस प्रावस्था Question Bank Case Based (MCQs) - Solid State

  • question_answer
    A metal oxide has empirical formula \[{{M}_{0.96}}{{O}_{1.00}}\]. What will be the precentage of \[{{M}^{2+}}\] ions in the crystal?

    A) \[90\centerdot 67\]

    B) \[91\centerdot 67\]

    C) \[8\centerdot 33\]

    D) \[9\centerdot 33\]

    Correct Answer: B

    Solution :

    Let the amount of \[{{M}^{2+}}\] ions in the \[{{M}_{0.96}}{{O}_{1.00}}=x\] .The amount of \[{{M}^{3+}}\] ions will be = (0-96 - x). As the metal oxide is neutral, (+2)x + (+3) (0.96 -x) + (-2)(\[1\centerdot 00\]) = 0 or 2x + \[2\centerdot 88\] - 3x - \[2\centerdot 00\] =0 -1x + \[0\centerdot 88\] = 0 x = \[0\centerdot 88\] \[{{M}^{2+}}\] = \[0\centerdot 88\] \[{{M}^{3+}}\]= \[0\centerdot 96\] - \[0\centerdot 88\] = \[0\centerdot 08\]  \[%\,\,of\,\,{{M}^{2+}}=\frac{0\centerdot 88}{0\centerdot 96}\times 100=91\centerdot 67%\]


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