Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    The\[pH\]of\[{{10}^{-10}}M\,\,NaOH\]solution is nearest to

    A) 4                                             

    B)  -10                        

    C) 4                             

    D)        7

    Correct Answer: D

    Solution :

    Given, concentration of\[NaOH={{10}^{-10}}M\]                 \[\underset{{{10}^{-10}}}{\mathop{NaOH}}\,\xrightarrow{{}}\underset{{{10}^{-10}}}{\mathop{N{{a}^{+}}}}\,+\underset{{{10}^{-10}}}{\mathop{O{{H}^{-}}}}\,\] \[\therefore \]  \[{{[OH]}^{-}}\]from\[NaOH={{10}^{-10}}\] \[\therefore \]  Total\[[O{{H}^{-}}]={{10}^{-7}}+{{10}^{-10}}\]                                       \[={{10}^{-7}}(1+0.001)\]                                        \[={{10}^{-7}}\left( \frac{1001}{1000} \right)\]                                        \[={{10}^{-10}}\times 1001\]                            \[pOH=-\log [O{{H}^{-}}]\]                                        \[=-\log (1001\times {{10}^{-10}})\]                                        \[=-3.004+10\]                                        \[=6.9996\]                 \[pH+pOH=14\] \[\therefore \]                \[pH=14-6.9996\]                                        \[=7.0004\approx 7\]


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