The resistance of a decimolar solution of $NaCl$ is $30 \ \Omega$. Calculate the conductivity of the solution if the cell constant is $0.33 \ cm^{-1}$.

The conductivity of sodium chloride at $298 \ K$ has been determined at different concentrations and the results are given below:

Concentration $/ M$	$0.001$	$0.010$	$0.020$	$0.050$	$0.100$
${10^2} \times \kappa / S \, m^{-1}$	$1.237$	$11.85$	$23.15$	$55.53$	$106.74$

Calculate ${\Lambda _m}$ for all concentrations and draw a plot between ${\Lambda _m}$ and $c^{1/2}$. Find the value of $\Lambda _m^o$.

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?

The resistance of a $0.5 \, M$ solution of an electrolyte in a cell was found to be $50 \, \Omega$. If the electrodes in the cell are $2.2 \, cm$ apart and have an area of $4.4 \, cm^2$,then the molar conductivity (in $S \, m^2 \, mol^{-1}$) of the solution is:

For a strong electrolyte,$\Lambda_{m}$ increases slowly with dilution and can be represented by the equation $\Lambda_{m} = \Lambda_{m}^{\circ} - Ac^{1/2}$. Molar conductivity values of a solution of strong electrolyte $AB$ at $18^{\circ} C$ are given below:

$c \ [mol \ L^{-1}]$	$0.04$	$0.09$	$0.16$	$0.25$
$\Lambda_{m} \ [S \ cm^2 \ mol^{-1}]$	$96.1$	$95.7$	$95.3$	$94.9$

The value of constant $A$ based on the above data [in $S \ cm^2 \ mol^{-1} / (mol \ L^{-1})^{1/2}$] 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