CMC Medical CMC-Medical VELLORE Solved Paper-2013

  • question_answer
    Conductivity of 0.00241 M acetic acid solution is \[7.896\times {{10}^{-5}}Sc{{m}^{-1}},\]what would be its dissociation constant?

    A)  \[1.85\times {{10}^{-5}}\]                           

    B)  \[32.76\times {{10}^{-5}}\]

    C)  \[1.85\times {{10}^{-7}}\]                           

    D)  \[32.76\times {{10}^{-7}}\]

    Correct Answer: A

    Solution :

                    \[\wedge _{m}^{C}=\frac{\kappa \times 1000}{\text{molarity}}\]       \[=\frac{7.896\times {{10}^{-5}}S\,c{{m}^{-1}}\times 1000\,c{{m}^{3}}{{L}^{-1}}}{0.00241\,\,mol\,{{L}^{-1}}}\]       \[=32.76\,Sc{{m}^{2}}\,mo{{l}^{-1}}\] \[\alpha =\frac{32.76}{390.5}=0.084\] \[K=\frac{c{{\alpha }^{2}}}{1-\alpha }\]      \[=\frac{0.00241\times {{(0.084)}^{2}}}{1-0.084}=1.85\times {{10}^{-5}}\]


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