$0.5 \ N$ solution of a salt placed between two platinum electrodes $2.0 \ cm$ apart and of area of cross section $4.0 \ cm^2$ has a resistance of $25 \ \Omega$. Calculate the equivalent conductivity of solution ................. $\Omega^{-1} \ cm^2 \ eq^{-1}$

Ionic conductance of $Ga^{3+}$ ions and $NO_3^-$ ions at infinite dilution are $120 \, \Omega^{-1} \, cm^2 \, mol^{-1}$ and $50 \, \Omega^{-1} \, cm^2 \, mol^{-1}$ respectively. Equivalent conductance of $Ga(NO_3)_3$ at infinite dilution will be ........... $\Omega^{-1} \, cm^2 \, eq^{-1}$.

The cell constant of a given cell is $0.47 \, cm^{-1}$. The resistance of a solution placed in this cell is measured to be $31.6 \, \Omega$. The conductivity of the solution (in $S \, cm^{-1}$ where $S$ has usual meaning) is

The molar conductivity of a conductivity cell filled with $10 \ moles$ of $20 \ mL$ $NaCl$ solution is $\Lambda_{m1}$ and that of another identical cell filled with $20 \ moles$ of $80 \ mL$ $NaCl$ solution is $\Lambda_{m2}$. If the conductivities $(\kappa)$ exhibited by these two cells are the same,the relationship between $\Lambda_{m2}$ and $\Lambda_{m1}$ is $........$

If the molar conductivity of a solution is $1.26 \times 10^{2} \ \Omega^{-1} \ cm^{2} \ mol^{-1}$ and its molarity is $0.01 \ M$,what will be its specific conductivity?

Which of the following options is true when an electrolyte solution is diluted?