NEET Sample Paper NEET Sample Test Paper-90

  • question_answer
    A 0.5 M NaOH solution offers a resistance of 31.6 ohm in a conductivity cell at room temperature. What shall be the approximate molar conductance of this NaOH solution if cell constant of the cell is \[0.367\,\,c{{m}^{-1}}.\]

    A) \[23.4\,\,S\,\,c{{m}^{2}}\,mol{{e}^{-1}}\]      

    B) \[23.2\,\,S\,\,c{{m}^{2}}\,mol{{e}^{-1}}\]

    C) \[46.45\,\,S\,\,c{{m}^{2}}\,mol{{e}^{-1}}\]                            

    D)  \[54.64\,\,S\,\,c{{m}^{2}}\,mol{{e}^{-1}}\]

    Correct Answer: B

    Solution :

    [b] Here, R= 31.6 ohm \[\therefore \]\[C=\frac{1}{R}=\frac{1}{31.6}oh{{m}^{-1}}=0.0316\,oh{{m}^{-1}}\] Specific conductance = conductance \[\times \]cell constant \[=0.0316\,oh{{m}^{-1}}\times 0.367\,c{{m}^{-1}}\] \[=0.0116\,oh{{m}^{-1}}c{{m}^{-1}}\] Now, molar concentration = 0.5 M (given) \[=0.5\times {{10}^{-3}}mole\,c{{m}^{-3}}\] \[\therefore \]  Molar conductance \[=\frac{K}{C}=\frac{0.0116}{0.5\times {{10}^{-3}}}\] \[=23.2\,S\,\,c{{m}^{2}}mo{{l}^{-1}}\]


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