Kohlrausch's Law and its Application

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

The molar conductance at infinite dilution for sodium acetate, hydrochloric acid and sodium chloride are $91.0$, $426.2$ and $126.5 \mathrm{S} {\mathrm{cm}}^2{\mathrm{mol}}^{-1}$ respectively at $298 \mathrm{K}$. The molar conductance of acetic acid at infinite dilution would be

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?

${\mathrm{\lambda }}_{\left({\mathrm{ClCH}}_2\mathrm{COONa}\right)}=224 {\mathrm{ohm}}^{-1} {\mathrm{cm}}^2 \mathrm{gm} {\mathrm{eq}}^{-1}$, ${\mathrm{\lambda }}_{\left(\mathrm{NaCl}\right)}=38.2 {\mathrm{ohm}}^{-1} {\mathrm{cm}}^2 \mathrm{gm} {\mathrm{eq}}^{-1}$, ${\mathrm{\lambda }}_{\left(\mathrm{HCl}\right)}=203 {\mathrm{ohm}}^{-1} {\mathrm{cm}}^2 \mathrm{gm} {\mathrm{eq}}^{-1}$, 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 $=0.936\mathrm{ }\mathrm{c}{\mathrm{m}}^{-1}$

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

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

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

What will be the calculated value of standard electrode potential$\left({\mathrm{E}}^0\right) {\mathrm{Cl}}^{-}/\mathrm{AgCl}/\mathrm{Ag}$ at $298 \mathrm{K}$ temperature, if solubility of silver chloride $\left(\mathrm{AgCl}\right)$ in $0.05 \mathrm{M} {\mathrm{BaCl}}_2$ is nearly ${10}^{-9} \mathrm{M} ({\mathrm{E}}^0 \mathrm{Ag}/{\mathrm{Ag}}^{+}=0.80 \mathrm{volts})$.

The  equivalent conductance of $1\mathrm{M} {\mathrm{CH}}_3\mathrm{COOH} \mathrm{is} 10 {\mathrm{ohm}}^{-1}{\mathrm{cm}}^2{\mathrm{eq}}^{-1}$ and at infinite dilution is $200 {\mathrm{ohm}}^{-1}{\mathrm{cm}}^2/\mathrm{eq}$. Calculate the value of degree of ionization  of  $\mathrm{Ac}-\mathrm{OH} \left({\mathrm{CH}}_3\mathrm{COOH}\right)$.

For the following cell reaction:
$\mathrm{P}\mathrm{b}\left(\mathrm{s}\right)+\mathrm{H}{\mathrm{g}}_2\mathrm{S}{\mathrm{O}}_4\left(\mathrm{s}\right)\leftrightharpoons \mathrm{ }\mathrm{P}\mathrm{b}\mathrm{S}{\mathrm{O}}_4\left(\mathrm{s}\right)+2\mathrm{H}\mathrm{g}\left(\mathrm{l}\right)$
${\mathrm{E}}_{\mathrm{c}\mathrm{e}\mathrm{l}\mathrm{l}}^{°}=0.92\mathrm{ }\mathrm{V}$
${\mathrm{K}}_{\mathrm{s}\mathrm{p}}\left(\mathrm{P}\mathrm{b}\mathrm{S}{\mathrm{O}}_4\right)=2\times {10}^{–8},\mathrm{ }{\mathrm{K}}_{\mathrm{s}\mathrm{p}}\left(\mathrm{H}{\mathrm{g}}_2\mathrm{S}{\mathrm{O}}_4\right)=1\times {10}^{–6}$
What is the ${\mathrm{E}}_{\mathrm{c}\mathrm{e}\mathrm{l}\mathrm{l}}$ for a cell containing saturated solutions of the two salts in their respective electrodes?
Given: [antilog$\left(0.141\right)=1.38$]

Find the degree of dissociation of a weak electrolyte at $0.1 \mathrm{M}$. Given that the equivalent conductivity of $0.1 \mathrm{M}$ weak acid is $100$ times less than that at infinite dilution.

The Solubility of $\mathrm{A}{\mathrm{B}}_2$ is $\mathrm{0}.05 \mathrm{g} \mathrm{per} 100 \mathrm{ml}$ at $25°\mathrm{C}$. Calculate ${\mathrm{K}}_{\mathrm{sp}}$ of $\mathrm{A}{\mathrm{B}}_2$ at $\mathrm{25}°\mathrm{C}?$ [Atomic mass of $\mathrm{A}=20 \mathrm{amu},$ Atomic mass of $\mathrm{B}=40\mathrm{amu}$]

The specific conductance $\left(\mathrm{K}\right)$ of $0.02\mathrm{ }\mathrm{M}$ aqueous acetic acid solution at $298\mathrm{ }\mathrm{K}$ is $1.65\times {10}^{-4}\mathrm{S}{\mathrm{cm}}^{-1}.$ The degree of dissociation of acetic acid is

[Given: equivalent conductance at infinite dilution of ${\mathrm{H}}^{+}=349.1\mathrm{S}{\mathrm{cm}}^2{\mathrm{mol}}^{-1}$ and ${\mathrm{CH}}_3{\mathrm{COO}}^{-}=40.9\mathrm{S}{\mathrm{cm}}^2{\mathrm{mol}}^{-1}$ ]

If the molar conductivities $\left(\mathrm{in}\mathrm{ }\mathrm{S}\mathrm{ }{\mathrm{cm}}^2\mathrm{ }{\mathrm{mol}}^{-1}\right)$ of $\mathrm{NaCl},\mathrm{ }\mathrm{KCl}\mathrm{ }\mathrm{and}\mathrm{ }\mathrm{NaOH}\mathrm{ }$ at infinite dilution are 126 and 150 and 250 respectively, the molar conductivity of $\mathrm{KOH}\mathrm{ }\left(\mathrm{in}\mathrm{ }\mathrm{S}\mathrm{ }{\mathrm{cm}}^2\mathrm{ }{\mathrm{mol}}^{-1}\right)$ is -

The ${\mathrm{\Lambda }}^{\mathrm{\infty }}$ of ${\mathrm{N}\mathrm{H}}_4\mathrm{O}\mathrm{H}$ at infinite dilution is ... ${\mathrm{S}\mathrm{ }\mathrm{c}\mathrm{m}}^2{\mathrm{e}\mathrm{q}.}^{-1}$ . Given: ${\mathrm{\lambda }}_{{\mathrm{O}\mathrm{H}}^{-}}^{\mathrm{\infty }}=174,\mathrm{ }{\mathrm{\lambda }}_{{\mathrm{Cl}}^{-}}^{\mathrm{\infty }}=66$ and

${\mathrm{\lambda }}_{{\mathrm{NH}}_4\mathrm{Cl}}^{\mathrm{\infty }}=130\mathrm{ }\mathrm{S}{\mathrm{cm}}^2{\mathrm{eq}}^{-1}$ :

The conductivity of $0.001028 mol L^{-1}$ acetic acid is $4.95\times {10}^{-5}S c{m}^{-1}.$ Find out its dissociation constant if ${\wedge }_m$ for acetic acid is $390.5\mathrm{ }\mathrm{S}\mathrm{ }{\mathrm{cm}}^2{\mathrm{mol}}^{-1}.$

The ionic conductance of $\mathrm{B}{\mathrm{a}}^{2+}$ and $\mathrm{C}{\mathrm{l}}^{-}$ are respectively 127 and $76\mathrm{ }{\mathrm{\Omega }}^{-1}\mathrm{ }\mathrm{c}{\mathrm{m}}^2$ at infinite dilution. The equivalent conductance $\left(\mathrm{i}\mathrm{n}\mathrm{ }\mathrm{ }{\mathrm{\Omega }}^{-1}\mathrm{ }\mathrm{c}{\mathrm{m}}^2\right)$ of $\mathrm{B}\mathrm{a}\mathrm{C}{\mathrm{l}}_2$ at infinite dilution will be