For an electrolyte solution of $0.05 \mathrm{~mol} \mathrm{~L}^{-1}$, the conductivity has been found to be…

For an electrolyte solution of $0.05 \mathrm{~mol} \mathrm{~L}^{-1}$, the conductivity has been found to be $0.0110 \mathrm{~S}$ $\mathrm{cm}^{-1}$. The molar conductivity is
  1. $0.055 \mathrm{~S} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}$
  2. $550 \mathrm{Scm}^{2} \mathrm{~mol}^{-1}$
  3. $0.22 \mathrm{~S} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}$
  4. $220 \mathrm{~S} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}$

Solution

$\Lambda_{\mathrm{m}}=\frac{\kappa \times 1000}{\mathrm{M}}=\frac{0.0110 \times 1000}{0.05}$
$=220 \mathrm{~S} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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