CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

  • question_answer
    \[50\,\,c{{m}^{3}}\] of \[0.2\text{ }N\,HCl\] is titrated against \[0.1\text{ }N\,NaOH\] solution. The titration is discontinued after adding \[50\,\,c{{m}^{3}}\] of \[NaOH\]. The remaining titration is completed by adding \[0.5\text{ }N\,KOH\]. The volume of \[KOH\]required for completing the titration is

    A) \[12\,\,c{{m}^{3}}\]                       

    B) \[10\,\,c{{m}^{3}}\]

    C) \[25\,\,c{{m}^{3}}\]                       

    D) \[10.5\,\,c{{m}^{3}}\]

    Correct Answer: B

    Solution :

    When \[0.1\,N\,NaOH\] is used,                 \[{{N}_{1}}{{V}_{1}}\]              =       \[{{N}_{2}}{{V}_{2}}\]                 (For \[HCl\])               (For \[NaOH\])                 \[0.2\,N\times {{V}_{1}}=50\times 0.1\,\,N\]                 \[{{V}_{1}}=\frac{50\times 0.1}{0.2}=25\,\,c{{m}^{3}}\] When \[0.5\text{ }N\text{ }KOH\] is used,                                 \[{{N}_{1}}{{V}_{1}}\,\,\,\,\,\,=\,\,\,\,\,\,{{N}_{3}}{{V}_{3}}\] (For remaining \[HCl\])                  (For \[KOH\])                 \[0.2\,N\times 25=0.5\,N\times {{V}_{3}}\]                 \[{{V}_{3}}=\frac{0.2\times 25}{0.5}\]                 \[=10\,\,c{{m}^{3}}\]


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