Molar conductivity \( \left(\Lambda_{m}\right) \) is defined as conducting power of the ions pro...

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Molar conductivity \( \left(\Lambda_{m}\right) \) is defined as conducting power of the ions produced by 1 mole of an electrolyte in a solution. \( \Lambda_{m}=\frac{\kappa}{C} \) where \( \kappa \) is conductivity (in \( \mathrm{S} \mathrm{cm}^{-1} \) ) and \( C \) is molar concentration (in mol/ \( \mathrm{cm}^{3} \) )
 
The molar conductivity of \( 0.04 \mathrm{M} \) solution of \( \mathrm{MgCl}_{2} \) is \( 200 \mathrm{Scm}^{2} \mathrm{~mol}^{-1} \) at \( 298 \mathrm{~K} \). A cell with electrodes that are \( 2.0 \mathrm{~cm}^{2} \) in surface area and \( 0.50 \mathrm{~cm} \) apart is filled with \( \mathrm{MgCl}_{2} \) solution.
Conductance of \( \mathrm{MgCl}_{2} \) solution is :
(a) \( 8 \times 10^{-3} \mathrm{~S} \)
(b) \( 32 \mathrm{~S} \)
(c) \( 0.032 \mathrm{~S} \)
(d) None of these
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