What is the concentration of an electrolyte solution to have molar conductivity of $101 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ and conductivity of $1.01 \times 10^{-2} \ \Omega^{-1} \ cm^{-1}$ at $298 \ K$ (in $M$)?

The resistance of $1 \, M$ acetic acid is $250 \, \Omega$. The cell constant of the conductivity cell is $1.15 \, \text{cm}^{-1}$. What is the equivalent conductivity (in $\Omega^{-1} \, \text{cm}^2 \, \text{equiv}^{-1}$) of $1 \, N$ acetic acid?

At $25^{\circ} C$,the molar conductances at infinite dilution for the strong electrolytes $NaOH$,$NaCl$ and $BaCl_2$ are $248 \times 10^{-4}$,$126 \times 10^{-4}$ and $280 \times 10^{-4} \ S \ m^2 \ mol^{-1}$ respectively. The value of $\lambda_m^{\circ} Ba(OH)_2$ in $S \ m^2 \ mol^{-1}$ is:

The molar conductances of $NaCl$,$HCl$,and $CH_3COONa$ at infinite dilution are $126.45$,$426.16$,and $91 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ respectively. The molar conductance of $CH_3COOH$ at infinite dilution is .............. $\Omega^{-1} \ cm^2 \ mol^{-1}$.

What is the common unit of conductivity if the dimensions are expressed in centimeter?

The conductivity of $0.001 \ M$ acetic acid at a certain temperature is $5.07 \times 10^{-5} \ S \ cm^{-1}$. If $\wedge_m^0$ of acetic acid at the same temperature is $390 \ S \ cm^2 \ mol^{-1}$,the dissociation constant of acetic acid at that temperature is: