Chemistry - Electrochemistry Question with Solution | TestHub

The relationship between molar conductivity ${\Lambda }_m$, conductivity $\kappa$, and concentration $C$ in molarity is given by:

${\Lambda }_m=\frac{\kappa \times 1000}{C}$

Rearranging the formula to solve for concentration $C$:

$C=\frac{\kappa \times 1000}{{\Lambda }_m}$

Substituting the given values $\kappa =0.0024{\text{ ohm}}^{-1}{\text{ cm}}^{-1}$ and ${\Lambda }_m=120{\text{ ohm}}^{-1}{\text{ cm}}^2{\text{ mol}}^{-1}$:

$C=\frac{0.0024\times 1000}{120}$

$C=\frac{2.4}{120}$

$C=0.02\text{ M}$

Answer: $0.02$ M