Kohlrausch's Law — Prelims Questions

The limiting molar conductivities $\Lambda_m^\circ$ for NaCl, HCl, and CH$_3$COONa are 126.4, 425.9, and 91.0 S cm$^2$ mol$^{-1}$ respectively. Calculate $\Lambda_m^\circ$ for CH$_3$COOH.

The molar conductivity of a 0.02 M solution of a weak acid HA is 10 S cm$^2$ mol$^{-1}$. If the limiting molar conductivity of HA is 400 S cm$^2$ mol$^{-1}$, what is the dissociation constant ($K_a$) of the acid?

The specific conductivity of a saturated solution of AgCl is $1.826 \times 10^{-6}$ S cm$^{-1}$ at 25 $^\circ$C. The limiting molar conductivities of Ag$^+$ and Cl$^-$ ions are 61.9 S cm$^2$ mol$^{-1}$ and 76.3 S cm$^2$ mol$^{-1}$ respectively. What is the solubility of AgCl in mol L$^{-1}$?

Which of the following statements about Kohlrausch's Law is INCORRECT?

Given the limiting ionic conductivities: $\lambda_{\text{K}^+}^\circ = 73.5$ S cm$^2$ mol$^{-1}$, $\lambda_{\text{Cl}^-}^\circ = 76.3$ S cm$^2$ mol$^{-1}$, $\lambda_{\text{Mg}^{2+}}^\circ = 106.0$ S cm$^2$ mol$^{-1}$, $\lambda_{\text{SO}_4^{2-}}^\circ = 160.0$ S cm$^2$ mol$^{-1}$. Calculate the limiting molar conductivity of MgSO$_4$.

Which of the following factors does NOT affect the limiting molar conductivity of an ion?