Given,

$\mathrm{\lambda }$ of $0.01 \mathrm{M} {\mathrm{MgCl}}_2 \mathrm{is} 220 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$

$\mathrm{\lambda }°$ of ${\mathrm{MgCl}}_2 \mathrm{is} 240 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$

$\mathrm{\lambda }°$ of ${\mathrm{Mg}}^{2+} \mathrm{is} 100 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$

All above measurements are done in an electrolytic cell. Assuming ${\mathrm{MgCl}}_2$ to be a strong electrolyte which of the following is/are incorrect?

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.

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

Following figure shows dependence of molar conductance of two electrolytes on concentration. ${\mathrm{\Lambda }}_{\mathrm{m}}^0$ is the limiting molar conductivity.

The number of Incorrect statement(s) from the following is _____

(A) ${\mathrm{\Lambda }}_{\mathrm{m}}^0$ for electrolyte $\mathrm{A}$ is obtained by extrapolation
(B) For electrolyte $\mathrm{B}, {\mathrm{\Lambda }}_{\mathrm{m}} \mathrm{Vs} \sqrt{\mathrm{c}}$  graph is a straight line with intercept equal to ${\mathrm{\Lambda }}_{\mathrm{m}}^0$
(C) At infinite dilution, the value of degree of dissociation approach zero for electrolyte $\mathrm{B}$.
(D) ${\mathrm{\Lambda }}_{\mathrm{m}}$ for any electrolyte $\mathrm{A}$ or $\mathrm{B}$ can be calculated using $\mathrm{\lambda }°$ for individual ions.

Calculate the degree of dissociation $(\propto )$ of acetic acid, if its molar conductivity $\left({\mathrm{Ʌ}}_{\mathrm{m}}\right)$ is $39.05 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$. 

Given: $\mathrm{\lambda }{°}_{\left({\mathrm{H}}^{+}\right)}=349.6 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ and $\mathrm{\lambda }{°}_{\left({\mathrm{CH}}_3{\mathrm{COO}}^{-}\right)}=40.9 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$.

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.

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 electronic conductivity does not depend on