Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    What will be the pH of a \[{{10}^{-8}}M\]\[HCl\] solution?

    A)  \[8.0\]                                 

    B)  \[7.0\]

    C)  \[6.98\]                              

    D)  \[14.0\]

    Correct Answer: C

    Solution :

    \[{{10}^{-8}}M\] \[HCl\] Molarity of \[HCl\] = normality of \[HCl\] \[N=1\times {{10}^{-8}}\] or \[[{{H}^{+}}]=1\times {{10}^{-8}}mol/L\]                                 \[pH=-\log [{{H}^{+}}]\]                                 \[pH=-\log {{10}^{-8}}\]                                 \[pH=8\] This is wrong answer because pH of acids less than 7. So, right pH is calculated as follows Total \[[{{H}^{+}}]\] in \[HCl=1\times {{10}^{-8}}mol/L\] Total \[[{{H}^{+}}]\] in \[{{H}_{2}}O=1\times {{10}^{-7}}\] Total \[[{{H}^{+}}]=1\times {{10}^{-7}}+0.1\times {{10}^{-7}}\]                 \[=1.1\times {{10}^{-7}}\] \[[{{H}^{+}}]=11\times {{10}^{-8}}\]                 \[\Rightarrow \]               \[pH=-\log [{{H}^{+}}]\]                                 \[pH=-\log (11\times {{10}^{-6}})\]                                 \[=-\log 11-\log {{10}^{-8}}\]                                 \[=-1.0414+8\times 1\]                 \[\therefore \]  \[pH=6.9586\]


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