If the conductivity of a $0.5 \mathrm{M} \mathrm{KCl}$ solution at $298 \mathrm{~K}$ is $0.024 \mathrm{~S}…

If the conductivity of a $0.5 \mathrm{M} \mathrm{KCl}$ solution at $298 \mathrm{~K}$ is $0.024 \mathrm{~S} \mathrm{~cm}^{-1}$, then the molar conductivity of the solution would be $\mathrm{Scm}^2 \mathrm{~mol}^{-1}$.
  1. 150
  2. 48
  3. 24
  4. 121.4

Solution

Electrolytic conductivity, $\kappa=0.024 \mathrm{~S} \mathrm{~cm}^{-1}$ Molar concentration $=0.5 \mathrm{M}$ $ \begin{aligned} \Lambda_{\mathrm{m}}^0(\text { Molar conductivity }) & =\frac{\kappa \times 1000}{M} \\ =\frac{0.024 \times 1000}{0.5} & =48 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1} . \end{aligned} $

Asked in: AP EAMCET 2021 (24 Aug Shift 1)

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