Calculate the percentage dissociation of 0.05 M solution of weak electrolyte if its molar conductivity and…

Calculate the percentage dissociation of 0.05 M solution of weak electrolyte if its molar conductivity and molar conductivity at infinite dilution are respectively. $3.3 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ and $132 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$.
  1. $4.0 \%$
  2. $3.5 \%$
  3. $2.5 \%$
  4. $10.0 \%$

Solution

$\begin{aligned} & \text { Percentage dissociation }=\frac{\Lambda_c}{\Lambda_0} \times 100 \\ & =\frac{3.3 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}}{132 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}} \times 100=2.5 \%\end{aligned}$

Asked in: MHT CET 2024 (15 May Shift 2)

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