What is the molar conductivity at zero concentration in $\Omega^{-1} \ cm^2 \ mol^{-1}$ for aluminium sulphate,if the molar ionic conductivities at zero concentration of $Al^{3+}$ and $SO_4^{2-}$ are $189 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ and $50.1 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ respectively?

$0.01\, S\, m^2\, mol^{-1} = $ ....... $S\, cm^2\, mol^{-1}$

Which of the following $M$ solutions of $KCl$ has the lowest value of specific conductivity?

Write a note on Kohlrausch law of independent migration of ions and limiting molar conductivity $\Lambda_{m}^{o}$ of strong electrolyte.

The ionic conductivity of $Ba^{2+}$ and $Cl^{-}$ at infinite dilution are $127$ and $76 \ ohm^{-1} cm^2 eq^{-1}$ respectively. The equivalent conductivity of $BaCl_2$ at infinite dilution (in $ohm^{-1} cm^2 eq^{-1}$) would be $:-$

At $298 \ K$,the limiting molar conductivity of a weak monobasic acid is $4 \times 10^2 \ S \ cm^2 \ mol^{-1}$. At $298 \ K$,for an aqueous solution of the acid,the degree of dissociation is $\alpha$ and the molar conductivity is $y \times 10^2 \ S \ cm^2 \ mol^{-1}$. At $298 \ K$,upon $20$ times dilution with water,the molar conductivity of the solution becomes $3y \times 10^2 \ S \ cm^2 \ mol^{-1}$. $(1)$ The value of $\alpha$ is. . . . . . $(2)$ The value of $y$ is. . . . . .