Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    A cell, with cell constant  \[0.4\text{ }c{{m}^{-1}},\] has the resistance of 40 ohm of a \[0.01\text{ }M\]solution of an electrolyte, then the molar conductivity in \[oh{{m}^{-1}}\text{ }c{{m}^{2}}\text{ }mo{{l}^{-1}}\]will be

    A)  \[{{10}^{4}}\]                                   

    B)  \[{{10}^{3}}\]

    C)  \[{{10}^{2}}\]                                   

    D)  \[1\]

    Correct Answer: B

    Solution :

    Cell constant \[=0.4c{{m}^{-1}}\] Resistance \[=40\text{ }ohm\] \[\therefore \]Conductivity \[=\frac{1}{40}oh{{m}^{-1}}\] Concentration of solution \[=0.01\text{ }M\] Specific conductivity = conductivity x cell Constant                                 \[=\frac{1}{40}oh{{m}^{-1}}\times 0.4c{{m}^{-1}}\] \[\therefore \] Specific conductivity \[=0.01oh{{m}^{-1}}\,c{{m}^{-1}}\] Molar conductivity                                 \[=\frac{specific\text{ }conductivity\times 1000}{concentration\text{ }\left( molarity \right)}\]                 \[=\frac{0.01\times 1000}{0.01}oh{{m}^{-1}}\,\,c{{m}^{2}}\,mo{{l}^{-1}}\] \[\therefore \] Molar conductivity                 \[=1000\text{ }oh{{m}^{-1}}\text{ }c{{m}^{2}}\text{ }mo{{l}^{-1}}\]        


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