Resistance of a conductivity cell filled with $0.1 \ M$ $KCl$ solution is $100 \ \Omega$ and conductivity of the solution is $1.29 \ S/m$. What will be the value of the cell constant (in $m^{-1}$)?

$A$ $KCl$ solution of conductivity $0.14 \, S m^{-1}$ shows a resistance of $4.19 \, \Omega$ in a conductivity cell. If the same cell is filled with an $HCl$ solution,the resistance drops to $1.03 \, \Omega$. The conductivity of the $HCl$ solution is $....... \, \times 10^{-2} \, S m^{-1}$. (Round off to the Nearest Integer).

$A$ conductivity cell containing $0.001 \ M$ $AgNO_3$ solution develops resistance $6530 \ \Omega$ at $25 \ ^{\circ}C$. Calculate the electrical conductivity of the solution at the same temperature if the cell constant is $0.653 \ cm^{-1}$.

The equivalent conductance at infinite dilution $\wedge^0$ for electrolytes $BA$ and $CA$ are $140$ and $120 \ S \ cm^2 \ eq^{-1}$,respectively. The equivalent conductance at infinite dilution for $BX$ is $198 \ S \ cm^2 \ eq^{-1}$. The $\wedge^0$ (in $S \ cm^2 \ eq^{-1}$) of $CX$ is:

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 ........... $\%$.

The specific conductivity of a saturated solution of silver chloride is $2 \times 10^{-6} \, S \, cm^{-1}$ at $25 \, ^oC$. What will be the solubility of silver chloride at $25 \, ^oC$ if molar conductivities at infinite dilution of $Ag^{+}$ and $Cl^{-}$ ions are $60$ and $80 \, S \, cm^2 \, mol^{-1}$ respectively?