The dissociation constant of acetic acid is $1.6 \times 10^{-5}$ and molar conductance at infinite dilution is $380 \times 10^{-4} \, S \, m^2 \, mol^{-1}$. The specific conductance of $0.01 \, M$ acid solution is

Molar conductances of $BaCl_2, H_2SO_4$ and $HCl$ at infinite dilutions are $x_1, x_2$ and $x_3$ respectively. Equivalent conductance of $BaSO_4$ at infinite dilution will be

The specific conductance of a $0.1 \ N \ KCl$ solution at $23 \ ^oC$ is $0.012 \ \Omega^{-1} \ cm^{-1}$. The resistance of a cell containing the solution at the same temperature was found to be $55 \ \Omega$. The cell constant will be .............. $cm^{-1}$.

The graphical variation of molar conductivity $(\Lambda_m)$ against the square root of molar concentration $(\sqrt{c})$ for a certain electrolyte '$X$' is linear with an intercept on the y-axis. Identify '$X$' from the following.

Given below are two statements :
Statement $I :$ The limiting molar conductivity of $KCl$ (strong electrolyte) is higher compared to that of $CH_{3}COOH$ (weak electrolyte).
Statement $II :$ Molar conductivity decreases with decrease in concentration of electrolyte.
In the light of the above statements,choose the most appropriate answer from the options given below:

The conductivity of $0.04 \ M \ BaCl_2$ solution is $0.0112 \ \Omega^{-1} \ cm^{-1}$ at $25^{\circ} C$. What is its molar conductivity?