The ionic conductances of $Ba^{2+}$ and $Cl^{-}$ at infinite dilution are $127$ and $76 \ \Omega^{-1} \ cm^2 \ eq^{-1}$ respectively. The equivalent conductance of $BaCl_2$ at infinite dilution is ..... (in $.5$)

The limiting molar conductivities of $NaI$,$NaNO_3$ and $AgNO_3$ are $12.7$,$12.0$ and $13.3 \, mS \, m^2 \, mol^{-1}$,respectively (all at $25^{\circ} C$). The limiting molar conductivity of $AgI$ at this temperature is $.... \, mS \, m^2 \, mol^{-1}$.

Conductivity of a saturated solution of a sparingly soluble salt $AB$ at $298 \ K$ is $1.85 \times 10^{-5} \ S \ m^{-1}$. Solubility product of the salt $AB$ at $298 \ K$ is. Given $\Lambda_{m}^{\circ}(AB) = 140 \times 10^{-4} \ S \ m^{2} \ mol^{-1}$.

The specific conductance $(\kappa)$ of $0.02 \ M$ aqueous acetic acid solution at $298 \ K$ is $1.65 \times 10^{-4} \ S \ cm^{-1}$. The degree of dissociation of acetic acid is [Given equivalent conductance at infinite dilution of $H^{+} = 349.1 \ S \ cm^{2} \ mol^{-1}$ and $CH_{3}COO^{-} = 40.9 \ S \ cm^{2} \ mol^{-1}$]

Define conductivity and molar conductivity for the solution of an electrolyte. Discuss their variation with concentration.

The electrodes of a conductivity cell are $3 \text{ cm}$ apart and have a cross-sectional area of $4 \text{ cm}^2$. The cell constant of the cell (in $\text{cm}^{-1}$) is