Kohlrausch's Law and its Applications

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  $\text{25}°\text{C}$:

The molar conductance and the specific conductance of an electrolyte are related by the formula

$0.05 \mathrm{M}$ $\mathrm{NaOH}$ offered a resistance of $31.2 \mathrm{ohm}$ in a conductivity cell having a cell constant of $0.38 {\mathrm{cm}}^{-1}$. Calculate the molar conductivity of $\mathrm{NaOH}$ solution.

Which statement is not correct for Kohlrausch law?

If the value of molar conductivities at infinite dilution for ${\mathrm{CH}}_3\mathrm{COOH}$, $\mathrm{HCl}$ and $\mathrm{NaCl}$ are $390.5, 425.4$and $126.4 \mathrm{S} {\mathrm{cm}}^2{\mathrm{mol}}^{-1}$ respectively at $298 \mathrm{K}$. Calculate the molar conductivity at infinite dilution of ${\mathrm{CH}}_3\mathrm{COONa}$ in $\mathrm{S} {\mathrm{cm}}^2{\mathrm{mol}}^{-1}$. (Just mention the value, no requirement of units in the answer).

The molar conductivity of a solution of a weak acid $\mathrm{HX} (0.01 \mathrm{M})$ is $10$ times smaller than the molar conductivity of a solution of a weak acid $\mathrm{HY} (0.10 \mathrm{M})$. If $\mathrm{\lambda }{°}_{{\mathrm{X}}^{-}}=\mathrm{\lambda }{°}_{{\mathrm{Y}}^{-}}$, the difference in their $\mathrm{pKa}$ values, ${\mathrm{pK}}_{\mathrm{a}}\left(\mathrm{HX}\right)-{\mathrm{pK}}_{\mathrm{a}}\left(\mathrm{HY}\right)$, is (consider degree of ionization of both acids to be $<<1$)

The maximum molar conductivities of ${\mathrm{X}}^{+3}$ and ${\mathrm{Y}}^{-}$ ions are $200$ and $100 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ respectively. The molar conductivity of ${\mathrm{XY}}_3$ at infinite dilution is :-

Consider the galvanic cell, $\mathrm{Pt}\left(\mathrm{s}\right)\overline{){\mathrm{H}}_2(1 \mathrm{bar})\overline{)\mathrm{HCl}\left(\mathrm{aq}\right)(1 \mathrm{M})\overline{)\mathrm{Cl}(1 \mathrm{bar})\overline{)\mathrm{Pt}\left(\mathrm{s}\right)}}}}$. After running the cell for sometime, the concentration of the electrolyte is automatically raised to $3 \mathrm{M} \mathrm{HCl}$. Molar conductivity of the $3 \mathrm{M} \mathrm{HCl}$ is about $240 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ and limiting molar conductivity of $\mathrm{HCl}$ is about $420 \mathrm{S} {\mathrm{cm}}^2{\mathrm{mol}}^{-1}$. If ${\mathrm{K}}_{\mathrm{b}}$ of water is $0.52 \mathrm{K} \mathrm{kg} {\mathrm{mol}}^{-1}$, calculate the boiling point of the electrolyte at the end of the experiment.

At ${25}^{°}\mathrm{C}$ the molar conductance of $0.007 \mathrm{M}$ hydrofluoric acid is $150 \mathrm{mho} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ and its ${{\mathrm{\Lambda }}^{°}}_{\mathrm{m}}=500 \mathrm{mho} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$. The value of the dissociation constant of the acid at the given concentration at ${25}^{°}\mathrm{C}$ is

Equivalent conductivity at infinite dilution for sodium- potassium oxalate $\left[\right({\mathrm{COO}}^{-}{)}_2{\mathrm{Na}}^{+}{\mathrm{K}}^{+}\left)\right]$ will be [ given : molar conductivities of oxalate, ${\mathrm{K}}^{+}$ and ${\mathrm{Na}}^{+}$ ions at infinite dilution are $148.2, 50.1, 73.5 \mathrm{S} {\mathrm{cm}}^{2 }{\mathrm{mol}}^{-1}$, respectively$]$.

The equivalent conductance of $\mathrm{M}/32$ solution of a weak monobasic acid is $8$ $\mathrm{mho} {\mathrm{cm}}^2$ and at infinite dilution is $400$ $\mathrm{mho} {\mathrm{cm}}^2$. The dissociation constant of this acid is

The ionization constant of a weak electrolyte is $2.5 \times {10}^{-5}$, and molar conductance of its $0.01 \mathrm{M}$ solution is $19.6 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$. The molar conductance at infinite dilution $( \mathrm{S} {\mathrm{cm}}^{2 }{\mathrm{mol}}^{-1})$ is:

The values of limiting ionic conductance of ${\mathrm{H}}^{+} \mathrm{and} {\mathrm{HCOO}}^{-}$ ions are respectively $347 \mathrm{and} 53 \mathrm{S} {\mathrm{cm}}^{2 }{\mathrm{mol}}^{-1} \mathrm{at} 298 \mathrm{K}$. If the molar conductance of $0.025 \mathrm{M}$ methanoic acid at $298 \mathrm{K} \mathrm{is} 40 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$, the dissociation constant of methanoic acid at $298 \mathrm{K}$ is:

The limiting molar conductivities of $\mathrm{HCl}, {\mathrm{CH}}_3\mathrm{COONa}$ and $\mathrm{NaCl}$ are respectively $425, 90 \mathrm{and} 125 \mathrm{mho} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1 }\mathrm{at} {25}^{\circ }\mathrm{C}$. The molar conductivity of $0.1 \mathrm{M} {\mathrm{CH}}_3\mathrm{COOH}$ solution is $7.8 \mathrm{mho} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ at the same temperature. The degree of dissociation of $0.1 \mathrm{M}$ acetic acid solution at the same temperature is 

${\mathrm{\lambda }}_{\left({\mathrm{ClCH}}_2\mathrm{COONa}\right)}=224 {\mathrm{ohm}}^{-1} {\mathrm{cm}}^2 \mathrm{gm} {\mathrm{eq}}^{-1}$, ${\mathrm{\lambda }}_{\left(\mathrm{NaCl}\right)}=38.2 {\mathrm{ohm}}^{-1} {\mathrm{cm}}^2 \mathrm{gm} {\mathrm{eq}}^{-1}$, ${\mathrm{\lambda }}_{\left(\mathrm{HCl}\right)}=203 {\mathrm{ohm}}^{-1} {\mathrm{cm}}^2 \mathrm{gm} {\mathrm{eq}}^{-1}$, what is the value of ${\mathrm{\lambda }}_{\left({\mathrm{ClCH}}_2\mathrm{COOH}\right)}$?

In infinite dilution of aqueous solution of ${\mathrm{BaCl}}_2$ molar conductivity of $\mathrm{Ba}{ }^{2+}$ and ${\mathrm{Cl}}^{-}$ ions are$=127.32 \mathrm{S} {\mathrm{cm}}^2/\mathrm{mol}$ and $76.34 \mathrm{S} {\mathrm{cm}}^2/\mathrm{mol}$ respectively. What is ${{\mathrm{\Lambda }}^{\infty }}_{\mathrm{m}}$ for ${\mathrm{BaCl}}_2$ at same dilution ?

${\wedge }_{\mathrm{m} \left({\mathrm{NH}}_4\mathrm{OH}\right)}^0$ is equal to _____.

What will be pH of a weak acid HA at the same concentration? The resistance of a 0.1 M solution of a weak acid HA in a cell was found to be $600\mathrm{ }\mathrm{\Omega }$. 

Given, cell constant $=0.936\mathrm{ }\mathrm{c}{\mathrm{m}}^{-1}$

${\mathrm{\Lambda }}_{\left(\mathrm{M}\right)}^{\mathrm{o}}\mathrm{N}\mathrm{a}\mathrm{C}\mathrm{l}=126\mathrm{ }\mathrm{S}\mathrm{ }\mathrm{c}{\mathrm{m}}^2\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}$

${\mathrm{\Lambda }}_{\left(\mathrm{M}\right)}^{\mathrm{o}}\mathrm{H}\mathrm{C}\mathrm{l}=426\mathrm{ }\mathrm{S}\mathrm{ }\mathrm{c}{\mathrm{m}}^2\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}$

${\mathrm{\Lambda }}_{\left(\mathrm{M}\right)}^{\mathrm{o}}\mathrm{N}\mathrm{a}\mathrm{A}=90\mathrm{ }\mathrm{S}\mathrm{ }\mathrm{c}{\mathrm{m}}^2\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}$