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  4. The resistivity of a 0.8 M solution of an electrolyte is 5 × 10-3 Ω cm. Its molar conductivity is × 104 Ω-1 cm 2 mol -1.

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Q. The resistivity of a $0.8\, M$ solution of an electrolyte is $5 \times 10^{-3} \, \Omega \, cm$. Its molar conductivity is ____ $\times 10^4\, \Omega^{-1}\, cm ^2 \,mol ^{-1}$.

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Solution:

$\Lambda_{ m }= \frac{\kappa \times 1000}{ M }$
$\Lambda_{ m }= \frac{1}{\rho} \times \frac{1000}{ M } $
$ \frac{1}{5 \times 10^{-3}} \times \frac{1000}{0.8}$
Ans. $25 \times 10^4 \,\Omega^{-1}\, cm ^{-2}\, mol ^{-1}$