What is the concentration of an electrolyte solution to have molar conductivity of $101 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ and conductivity of $1.01 imes 10^{-2} \Omega^{-1} \mathrm{~cm}^{-1}$ at 298 K ?

Question

What is the concentration of an electrolyte solution to have molar conductivity of $101 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ and conductivity of $1.01 	imes 10^{-2} \Omega^{-1} \mathrm{~cm}^{-1}$ at 298 K ?

Aicharya · Accepted Answer

$\begin{array}{ll} & 	ext { Molar conductivity }(\wedge)=\frac{1000 \mathrm{k}}{\mathrm{c}} \ & 101 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}=\frac{1000 	imes 1.01 \Omega^{-1} \mathrm{~cm}^{-1} 	imes 10^{-2}}{\mathrm{c}} \ 	herefore \quad & \mathrm{c}=\frac{1000 	imes 1.01 	imes 10^{-2}}{101}=0.1 \mathrm{M}\end{array}$

What is the concentration of an electrolyte solution to have molar conductivity of $101 \Omega^{-1}…

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