The specific conductivity of $N/10$ $KCl$ solution at $20 \, ^oC$ is $0.012 \, \Omega^{-1} \, cm^{-1}$ and the resistance of the solution in the cell at $20 \, ^oC$ is $56 \, \Omega$. The cell constant is ........... $cm^{-1}$.

If $X$ is the specific resistance (resistivity) of the solution and $M$ is the molarity of the solution,the molar conductivity of the solution is given by:

The conductivity of $0.20 \ M \ KCl$ solution at $300 \ K$ is $0.0248 \ \Omega^{-1} \ cm^{-1}$. What is its molar conductivity?

$A$ graph was plotted between molar conductivity of various electrolytes ($NaCl$,$HCl$ and $NH_4OH$) and $\sqrt{C}$ (in $mol \ L^{-1}$). Identify the correct assignment for the curves $I$,$II$,and $III$.

$0.2\% (w/v)$ solution of $NaOH$ is measured to have resistivity $870.0 \ m\Omega \ m$. The molar conductivity of the solution will be $........ \times 10^2 \ mS \ dm^2 \ mol^{-1}$. $(Nearest \ integer)$

At $25^oC$,the molar conductance of a $0.1 \ M$ aqueous solution of ammonium hydroxide is $9.54 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ and at infinite dilution,its molar conductance is $238 \ \Omega^{-1} \ cm^2 \ mol^{-1}$. The degree of ionization of ammonium hydroxide at the same concentration and temperature is ........... $\%$.