Resistance of a decimolar solution between two electrodes $0.02 \ m$ apart and $0.0004 \ m^2$ in area was found to be $50 \ \Omega.$ Specific conductance $(\kappa)$ is .......... $S \ m^{-1}$

At $298 \ K$,the resistance of a $0.01 \ N$ electrolyte solution is $210 \ \Omega$. If the cell constant of the conductivity cell used is $0.66 \ cm^{-1}$,what is the equivalent conductivity of the solution in $mho \ cm^2 \ eq^{-1}$?

The equivalent conductivities of $Ba^{2+}$ and $Cl^-$ ions at infinite dilution are $127$ and $76 \ \Omega^{-1} \ cm^2 \ eq^{-1}$ respectively. What is the equivalent conductivity of $BaCl_2$ at infinite dilution?

State Kohlrausch's law of independent migration of ions and explain its applications.

The ionic conductance of the following cations in a given concentration is in the order:

Solutions of two electrolytes $A$ and $B$ are diluted. The $\Lambda_m$ of $B$ increases $1.5$ times while that of $A$ increases $25$ times. Which of the two is a strong electrolyte? Justify your answer.