Kohlrausch's Law and its Application

Find the solubility product of a saturated solution of ${\text{Ag}}_2{\text{CrO}}_4$  at 298 K in water if the emf of the cell $\text{Ag}\left|{\text{Ag}}^{+}\left({\text{Ag}}_2{\text{CrO}}_4\right)\right|\left|{\text{Ag}}^{+}\left(0\text{.1}\text{M}\right)\right|\text{Ag}\left(\text{s}\right)$ is 0.164 V at 298 K.

Calculate ${\Lambda }^{\text{o}}{}_{\text{HOAC}}$  at infinite dilution in  ${\text{H}}_{\text{2}}\text{O}$ at  $\text{25}°\text{C}$:

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
$\left[{\mathrm{\Lambda }}_{\mathrm{m}}=\right.\text{ molar conductivity }$

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

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

Form the following molar conductivities at infinite dilution,

$$\begin{gathered} {\wedge }_{\mathrm{m}}^{\circ } \mathrm{for} {\mathrm{Al}}_2{\left({\mathrm{SO}}_4\right)}_3=858 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \\ {\wedge }_{\mathrm{m}}^{\circ } \mathrm{for} {\mathrm{NH}}_4\mathrm{OH}=238.3 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \\ {\wedge }_{\mathrm{m}}^{\circ } \mathrm{for} {\left({\mathrm{NH}}_4\right)}_2{\mathrm{SO}}_4=238.4 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \end{gathered}$$

Calculate ${\wedge }_{\mathrm{m}}^{\circ }$ for $\mathrm{Al}{\left(\mathrm{OH}\right)}_3$

Which amongst the following expressions are not correct?

The molar conductivity of ${\mathrm{CH}}_3\mathrm{COOH}$ at infinite dilution is $390{\mathrm{Scm}}^2/\mathrm{mol}$. Using the graph and given information, the molar conductivity of ${\mathrm{CH}}_3\mathrm{COOK}$ will be:

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The molar conductance of acetic acid at infinite dilution is ${\lambda }_{\infty }$. If the conductivity of $0.1\mathrm{M}$ acetic acid is $\mathrm{S}$, the apparent degree of ionization is

Following limiting molar conductivities are given as
${\mathrm{\Lambda }}_{\mathrm{m}}^{\circ }$ (H₂SO4)= x Scm² mol^-1
${\mathrm{\Lambda }}_{\mathrm{m}}^{\circ }$(MgSO4)=- y Scm² mol^-1
${\mathrm{\Lambda }}_{\mathrm{m}}^{\circ }$ ((CH3COO)₂Mg) = z Scm² mol^-1
${\mathrm{\Lambda }}_{\mathrm{m}}^{\circ }$ (In Scm² mol^-1) for CH₃COOH will be

Following limiting molar conductivities are given as:

${\mathrm{\Lambda }}_{{\mathrm{H}}_2{\mathrm{SO}}_4}^{°}=\mathrm{x} \mathrm{S}{ \mathrm{cm}}^2{ \mathrm{mol}}^{-1}$

${\mathrm{\Lambda }}_{{\mathrm{K}}_2{\mathrm{SO}}_4}^{°}=\mathrm{y} \mathrm{S}{ \mathrm{cm}}^2{ \mathrm{mol}}^{-1}$

${\mathrm{\Lambda }}_{{\mathrm{CH}}_3\mathrm{COOK}}^{°}=\mathrm{z} \mathrm{S}{ \mathrm{cm}}^2{ \mathrm{mol}}^{-1}$

$\mathrm{\lambda }°\mathrm{m}$ (in $\mathrm{Scm}{{}^2 \mathrm{mol}}^{-1}$)

for ${\mathrm{CH}}_3\mathrm{COOH}$ will be

How is the molar conductivity of a weak electrolyte at infinite dilution determined?

Applying Kohlrausch law of independent migration of ions, write the expression to determine the limiting molar conductivity of calcium chloride

State Kohlrausch law of independent migration of ions.

The equivalent conductance at infinite dilution of the salt $\mathrm{MX}$ is $160.84 {\mathrm{ohm}}^{-1}{\mathrm{cm}}^2 {\mathrm{eq}}^{-1}$. If the transport number of ${\mathrm{M}}^{+}$ is $0.40$, calculate the ionic mobility of the ion.

The molar conductivity of acetic acid solution at infinite dilution is $390.7 {\mathrm{\Omega }}^{-1}{\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$. Calculate the molar conductivity of $0.01 \mathrm{M}$ acetic acid solution, given that the dissociation constant of acetic acid is $1.8\times {10}^{-5}$.
 

How does Kohlrausch's law help in the calculation degree of dissociation of a weak electrolyte?

Define Kohlrausch's law. How does it help in calculation of ${\mathrm{\lambda }}^{°}$ for a weak electrolyte?

Define Kohlrausch's law. How can it be used to find the degree of dissociation of a weak electrolyte?

Explain Kohlrausch law. (Definition and Formula)

Conductivity of $0.00241 \mathrm{M}$ acetic acid solution is $7.896\times {10}^{-5} \mathrm{S} {\mathrm{cm}}^{-1}$. Calculate its molar conductivity in this solution. If ${\mathrm{\Lambda }}_{\mathrm{m}}^{°}$ for acetic acid be $390.5 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$, what would be its dissociation constant?