What will be the concentration of NaCl solution, if the molar conductivity and conductivity of NaCl solution…

What will be the concentration of NaCl solution, if the molar conductivity and conductivity of NaCl solution is $124 \cdot 3 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}$ and $1 \cdot 243 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{2}$ respectively?
  1. $0.001$ mol $\mathrm{L}^{-1}$
  2. $0.01 \mathrm{~mol} \mathrm{~L}^{-1}$
  3. $0.02$ mol $I_{1}^{-1}$
  4. $0.1 \mathrm{~mol} \mathrm{~L}^{-1}$

Solution

$\begin{array}{l} \Lambda=124.3 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}, \mathrm{k}=1.243 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{2} \\ \mathrm{C}=? \\ \wedge=\frac{1000 \mathrm{k}}{\mathrm{C}} \quad \therefore \mathrm{C}=\frac{1000 \mathrm{k}}{\wedge} \\ \therefore \mathrm{C}=\frac{1000 \times 1.243 \times 10^{-4}}{124.3}=0.001 \mathrm{~mol} \mathrm{~L}^{-1} \end{array}$

Asked in: MHT CET 2020 (16 Oct Shift 1)

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