If the conductivity of mercury at $0^{\circ} \, C$ is $1.07 \times 10^{6} \, S \, m^{-1}$ and the resistance of a cell containing mercury is $0.243 \, \Omega$,then the cell constant of the cell is $x \times 10^{4} \, m^{-1}$. The value of $x$ is ...... (Nearest integer).

Molar conductivity of $0.04 \ M \ BaCl_2$ solution is $230 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ at $27^{\circ} C$. What is its conductivity?

The unit $ohm^{-1}$ is used for

If the resistance of a $0.01 \, M$ electrolyte in a cell is $40 \, \Omega$ and the cell constant is $0.4 \, \text{cm}^{-1}$,what is the molar conductivity in $\Omega^{-1} \, \text{cm}^2 \, \text{mol}^{-1}$?

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?

At $298 \ K$,the conductivity of $KCl$ solutions of molarity $0.1 \ M, 0.01 \ M$ and $1.0 \ M$ are recorded as $X, Y$ and $Z \ S \ cm^{-1}$ respectively. The correct relation between $X, Y$ and $Z$ is