JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Self Evaluation Test - Equilibrium

  • question_answer
    The concentration of hydroxyl ion in a solution left after mixing 100mL of 0.1M \[MgC{{l}_{2}}\] and 100mL of 0.2M \[NaOH\] \[({{K}_{sp}} of \,Mg{{(OH)}_{2}}=1.2\times {{10}^{-11}})\] is

    A) \[2.8\times {{10}^{-4}}\]         

    B) \[2.8\times {{10}^{-3}}\]

    C) \[2.8\times {{10}^{-2}}\]         

    D) \[2.8\times {{10}^{-5}}\]

    Correct Answer: A

    Solution :

    [a] \[\underset{0}{\mathop{\underset{100\times 0.1}{\mathop{MgC{{l}_{2}}}}\,}}\,\,\,\,\,\,+\,\,\,\,\,\underset{0}{\mathop{\underset{100\times 0.2}{\mathop{2NaOH}}\,}}\,\to \underset{10}{\mathop{\underset{0}{\mathop{Mg}}\,}}\,\underset{20}{\mathop{\underset{0}{\mathop{{{(OH)}_{2}}}}\,}}\,\,\,\,\,+\,\,\,\,\underset{After\,mixing}{\mathop{\underset{Initial\,moles}{\mathop{2NaCl}}\,}}\,\] \[\therefore {{K}_{sp}}=\left[ \frac{10}{200} \right]{{\left[ \frac{20}{200} \right]}^{2}}=5\times {{10}^{-4}}\] But actually \[{{K}_{sp}}\] of \[Mg{{\left( OH \right)}_{2}}=1.2\times {{10}^{-11}}\] \[\therefore \text{ }4{{S}^{3}}=1.2\times {{10}^{-11}}\] Find S then \[\left[ O{{H}^{-}} \right]=2S\] which is \[2.8\times {{10}^{-4}}.\]


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