AIIMS AIIMS Solved Paper-2015

  • question_answer
    One mole of magnesium in the vapour state absorbed \[\frac{{{R}_{1}}}{{{R}_{2}}}\] energy. If the first and second ionisation energies of Mg are 750 and \[\left| \frac{dL}{dt} \right|\] respectively, the final composition of the mixture is

    A) \[2\,\,m\,\,{{l}^{3}}{{\omega }^{2}}\sin \theta .\cos \theta \]

    B) \[\,m\,\,{{l}^{2}}{{\omega }^{2}}\sin 2\theta \]

    C) \[\,m\,\,{{l}^{2}}\sin 2\theta \]

    D) \[\,{{m}^{1/2}}\,\,{{l}^{1/2}}\,\omega \,\,\sin \theta .\cos \theta \]

    Correct Answer: B

    Solution :

    Energy absorbed in the ionisation of 1 mole of \[Mg\,to\,M{{g}^{+}}(g)=750KJ\] Energy left unused \[=\text{12}00-\text{75}0=\text{45}0\text{ kJ}\] % of \[M{{g}^{+}}(g)\]converted into \[M{{g}^{2+}}(g)\] \[=\frac{450}{1450}\times 100=31%\] Hence, the % of \[\text{M}{{\text{g}}^{+}}\left( \text{g} \right)=\text{1}00-\text{31}=\text{69}%\]


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