Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    Given that the dissociation constant for \[{{H}_{2}}O\] is \[{{K}_{w}}=1\times {{10}^{-14}}\] what is the pH of a M \[KOH\] solution?

    A)  \[11\]                                  

    B)  \[3\]

    C)  \[14\]                                  

    D)  \[{{10}^{-11}}\]

    Correct Answer: A

    Solution :

    Given,  \[{{K}_{w}}=1\times {{10}^{-14}}mo{{l}^{2}}{{L}^{-2}}\] Molarity of \[KOH=\] normality of \[KOH\] \[N=1\times {{10}^{-3}}\] or \[[O{{H}^{-}}]=1\times {{10}^{-3}}\] \[[{{H}^{+}}]=\frac{1\times {{10}^{-14}}}{[O{{H}^{-}}]}=\frac{1\times {{10}^{-14}}}{1\times {{10}^{-3}}}=1\times {{10}^{-11}}\] \[pH=-\log [{{H}^{+}}]\] \[pH=-\log \,{{10}^{-11}}\] \[pH=11\]


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