Find out the pH of the solution, given that the equivalent conductance of $0.01 \mathrm{M}$ solution of  a weak acid $\mathrm{HA}$ is $19.6 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{eq}}^{-1}$ . The equivalent conductance of the electrolyte at infinite dilution is $392 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{eq}}^{-1}$. 

The molar conductivity of $0.007 \mathrm{M}$ acetic acid is $20 \mathrm{S}{ \mathrm{cm}}^2{ \mathrm{mol}}^{-1}.$ What is the dissociation constant of acetic acid? Choose the correct option.

$$\begin{gathered} {\mathrm{\lambda }}_{{\mathrm{H}}^{+}}^{\circ }=350 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \\ {\mathrm{\lambda }}_{{\mathrm{CH}}_3{\mathrm{COO}}^{-}}^{\circ }=50 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \end{gathered}$$

The limiting molar conductivity and molar conductivity of acetic acid are $390.5 \mathrm{S} {\mathrm{cm}}^2. {\mathrm{mol}}^{-1}$ and $48.15 \mathrm{S} {\mathrm{cm}}^2. {\mathrm{mol}}^{-1}$ respectively. Calculate the degree acid are of dissociation of the weak acid?

The molar conductance of $\mathrm{NaCl}, \mathrm{HCl}$ and ${\mathrm{CH}}_3\mathrm{COONa}$ at infinite dilution are $126.45, 426.16$ and $91.0 {\mathrm{Scm}}^2{ \mathrm{mol}}^{-1}$ respectively. The molar conductance of ${\mathrm{CH}}_3\mathrm{COOH}$ at infinite dilution is. Choose the right option for your answer.

What is correct for ${\mathrm{\lambda }}_{\mathrm{m}\left({\mathrm{NH}}_4\mathrm{OH}\right)}^0$?

Plotting $1/{\mathrm{\Lambda }}_{\mathrm{m}}$ against ${\mathrm{c\Lambda }}_{\mathrm{m}}$ for aqueous solutions of a monobasic weak acid $\left(\mathrm{HX}\right)$ resulted in a straight line with $\mathrm{y}-$axis intercept of $\mathrm{P}$ and slope of $\mathrm{S}$. The ratio $\mathrm{P}/\mathrm{S}$ is
$\left[{\mathrm{\Lambda }}_{\mathrm{m}}=\right.\text{ molar conductivity }$

$$\begin{gathered} {\mathrm{\Lambda }}_{\mathrm{m}}^{\mathrm{o}}= \mathrm{limiting} \mathrm{molar}conductivity \\ \mathrm{c}= \mathrm{molar}concentration \end{gathered}$$

$\left.{\mathrm{K}}_{\mathrm{a}}=\text{ dissociation constant of }\mathrm{HX}\right]$

The following table gives the values of limiting molar conductivity $\left({\lambda }_{\mathrm{m}}^0\right)$ of some ions

Given ${\lambda }_{\mathrm{m}}^0$ (magnesium sulfate) $=266 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ and ${\lambda }_{\mathrm{m}}^0$ (hydrochloric acid) $=425.9 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$. The value of ${\lambda }_{\mathrm{m}}^0$ for magnesium chloride (in $\mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$) is