Specific conductance of $0.2 \ M$ electrolyte solution at $20 \ ^oC$ temperature is $2.48 \times 10^{-4} \ ohm^{-1} \ cm^{-1}$. The molar conductance of the solution will be ............ $ohm^{-1} \ cm^2 \ mol^{-1}$.

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 conductivity of a solution containing $2.08 \ g$ of anhydrous barium chloride in $200 \ mL$ solution is $6 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$. The molar conductivity of the solution (in $\Omega^{-1} \ cm^2 \ mol^{-1}$) is $\underline{x} \times 10^2$. The value of $\underline{x}$ is (Atomic mass of $Ba=137, Cl=35.5$)

The equivalent conductivities of $Al^{3+}$ and $SO_4^{2-}$ ions at infinite dilution are $189$ and $160 \ \Omega^{-1} cm^2 eq^{-1}$ respectively. What is the equivalent conductivity of $Al_2(SO_4)_3$ at infinite dilution?

Equivalent conductivity at infinite dilution for sodium potassium oxalate $[(COO^{-})_{2} Na^{+} K^{+}]$ will be (given molar conductivities of oxalate,$K^{+}$ and $Na^{+}$ ions at infinite dilution are $148.2$,$50.1$,and $73.5 \ S \ cm^{2} \ mol^{-1}$ respectively).

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 $........$