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Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is \[100\Omega .\]. The conductivity of this solution is \[1.29\text{ }S\text{ }{{m}^{-1}}\]. Resistance of the same cell when filled with 0.02 M of the same solution is \[520\Omega \]. The molar conductivity of 0.02 M solution of electrolyte will be

A. \[1.24\times {{10}^{-4}}\,S{{m}^{2}}mo{{l}^{-1}}\]
B. \[12.4\times {{10}^{-4}}\,S{{m}^{2}}mo{{l}^{-1}}\]
C. \[124\times {{10}^{-4}}\,S{{m}^{2}}mo{{l}^{-1}}\]
D. \[1240\times {{10}^{-4}}\,S{{m}^{2}}mo{{l}^{-1}}\]
Answer» B. \[12.4\times {{10}^{-4}}\,S{{m}^{2}}mo{{l}^{-1}}\]


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