AMU Medical AMU Solved Paper-2002

  • question_answer
    If the hydrogen ion concentration in an acid is \[{{10}^{-8}}\] mol/L then the pH

    A)  9                                            

    B)  7

    C)  < 7                                        

    D)  > 8

    Correct Answer: C

    Solution :

                     Key Idea             \[pH=-\log \,[{{H}^{+}}]\]                                                 \[{{H}^{+}}={{10}^{-8}}mol/L\] So, in aqueous solution, in \[{{H}^{+}}\] ion concentration of acid, H+ ion concentration of water is also added. Hence, total \[[{{H}^{+}}]\] of acid                 \[=({{10}^{-8}}+{{10}^{-7}})\,\,mol/L\]                 \[={{10}^{-8}}(1+10)\]                 \[=11\times {{10}^{-8}}mol/L\] Therefore, \[pH=-\log \,[11\times {{10}^{-8}}]\]                 \[=-\log \,11+8\,\,\log \,\,10\]                 \[=-1.0414+8\]                 \[pH=6.9586\]


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