CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    One mole of magnesium in the vapour state absorbed\[1200\text{ }kJ\text{ }mo{{l}^{-1}}\]of energy. If the first and second ionization energies of Mg are 750 and\[1450\text{ }kJ\text{ }mo{{l}^{-1}}\]respectively, the final composition of the mixture is:

    A) \[31%\text{ }M{{g}^{+}}+69%\text{ }M{{g}^{2+}}\]

    B) \[69%\text{ }M{{g}^{+}}+31%\text{ }M{{g}^{2+}}\]

    C) \[86%\text{ }M{{g}^{+}}+14%\text{ }M{{g}^{2+}}\]

    D) \[14%\text{ }M{{g}^{+}}+86%\text{ }M{{g}^{2+}}\]

    E) \[13%\text{ }M{{g}^{+}}+87%\text{ }M{{g}^{2+}}\]

    Correct Answer: B

    Solution :

    \[Mg\xrightarrow[{}]{{}}M{{g}^{+}},\]    \[E=750\,kJ\] Remaining energy\[=1200-750=450\text{ }kJ\] Energy needed to convert 1 mol of\[M{{g}^{+}}\]to \[M{{g}^{2+}}=1450\] Number of moles of\[M{{g}^{2+}}\]produced                 \[=\frac{1}{1450}\times 450\] \[=0.31\] \[=31%\] Number of moles of\[M{{g}^{+}}\]produced\[=1-0.31\] \[=0.69\] \[=69%\]


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