AMU Medical AMU Solved Paper-1999

  • question_answer
    Molar conductivity of a solution of an electrolyte\[A{{B}_{2}}\]is\[160\text{ }oh{{m}^{-1}}c{{m}^{2}}mo{{l}^{-1}}\]. If it ionizes as\[A{{B}_{2}}\to {{A}^{+2}}+2{{B}^{-1}}\]. Its equivalent conductivity will be

    A)  \[150\text{ }oh{{m}^{-1}}c{{m}^{-1}}mo{{l}^{-1}}\]

    B)  \[\text{75 }oh{{m}^{-1}}c{{m}^{-1}}mo{{l}^{-1}}\]

    C)  \[\text{80 }oh{{m}^{-1}}c{{m}^{-1}}mo{{l}^{-1}}\]

    D)  all of the above

    Correct Answer: C

    Solution :

    : Molar conductivity, \[{{\wedge }_{m}}=160\,oh{{m}^{-1}}c{{m}^{2}}/mol\] \[{{\wedge }_{m}}=\frac{k\times 1000}{Molarity}\] \[{{\wedge }_{eq}}=\frac{k\times 1000}{Normality}\] \[\frac{{{\wedge }_{eq}}}{{{\wedge }_{m}}}=\frac{Molarity}{Normality}\] \[{{\wedge }_{eq}}=\frac{{{\wedge }_{m}}\times number\text{ }of\text{ }moles\text{ }per\text{ }litre}{number\text{ }of\text{ }gm\text{ }equivalents\text{ }per\text{ }litre}\] \[{{\wedge }_{eq}}=\frac{160\times eq.\,wt}{mol.wt.}\] \[=\frac{160\times mol.\,wt.}{2\times mol.wt}\] \[=80\text{ }oh{{m}^{-1}}c{{m}^{2}}e{{q}^{-1}}\].


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