BCECE Engineering BCECE Engineering Solved Paper-2005

  • question_answer
    pH of \[{{10}^{-8}}\,M\,HCl\]solution is:

    A) 8                             

    B)        between 7 and 8

    C) between 6 and 7

    D)       between 8 and 9

    Correct Answer: C

    Solution :

    Key Idea: In a dilute solution, the \[{{H}^{+}}\] furnished by water cannot be neglected Given       \[HCl={{10}^{-8}}M\] \[\underset{{{10}^{-8}}}{\mathop{HCl}}\,\xrightarrow{{}}\underset{{{10}^{-8}}}{\mathop{{{H}^{+}}}}\,+\underset{{{10}^{-8}}}{\mathop{C{{l}^{-}}}}\,\]                 \[{{H}_{2}}O\underset{{{10}^{-7}}}{\mathop{{{H}^{+}}}}\,+\underset{{{10}^{-7}}}{\mathop{O{{H}^{-}}}}\,\] \[\therefore \]Total        \[[{{H}^{+}}]={{10}^{-7}}+{{10}^{-8}}\]                 \[={{10}^{-7}}(1+{{10}^{-1}})\]                 \[pH=-\log [{{H}^{+}}]\]                 \[=-\log {{10}^{-7}}(1+{{10}^{-1}})\]                 \[=6.98\] \[\therefore \] The pH is between 6 and 7.


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