CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    pH of a solution produced when an aqueous solution of pH 6 is mixed with an equal volume of an aqueous solution of pH 3 is about:

    A)  3.3                                        

    B)  4.3

    C)  4.0                                        

    D)  4.5

    Correct Answer: A

    Solution :

    Aqueous solution of pH 6 means, \[[{{H}^{+}}]={{10}^{-6}}\] Aq. solution of pH 3 means, \[[{{H}^{+}}]={{10}^{-3}}\] Aq. solutions of both pH are mixed in equal volume, hence \[[{{H}^{+}}]=\frac{{{10}^{-6}}+{{10}^{-3}}}{2}\] \[={{10}^{-6}}\left( \frac{1+{{10}^{3}}}{2} \right)\]                 or            \[={{10}^{-6}}\times \frac{1001}{2}={{10}^{-6}}\times 550\]                 \[\therefore \]  \[pH=-\log [{{H}^{+}}]\]                                 \[=6-\log 550\]                                 \[=6-2.7404\] \[=3.2596\] \[3.3\]


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