What will be the concentration of solution of electrolyte if it's molar conductivity and conductivity are…

What will be the concentration of solution of electrolyte if it's molar conductivity and conductivity are respectively $230 \Omega^{-1}$ $\mathrm{cm}^2 \mathrm{~mol}^{-1}$ and $0.0115 \Omega^{-1} \mathrm{~cm}^{-1}$ at $298 \mathrm{~K}$ ?
  1. $0.04 \mathrm{M}$
  2. $0.03 \mathrm{M}$
  3. $0.01 \mathrm{M}$
  4. $0.05 \mathrm{M}$

Solution

$\begin{aligned} & \Lambda_{\mathrm{m}}=\frac{\mathrm{k} \times 1000}{\mathrm{M}}\left(\begin{array}{c}\Lambda_{\mathrm{m}}=\text { Molar Conductivity } \\ \mathrm{k}=\text { Conductivity }\end{array}\right) \\ & 230=\frac{0.0115 \times 1000}{\mathrm{M}} \\ & \mathrm{M}=\frac{0.0115 \times 1000}{230}=0.05 \mathrm{M}\end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 2)

Practice more Electrochemistry questions on Aicharya