The total volume of gases obtained at $\mathrm{S}.\mathrm{T}.\mathrm{P}.$ by electrolysis of aqueous sodium acetate, by passing $0.5 \mathrm{A}$ current for $965$ minutes, is

The conductance of a salt solution ($\mathrm{AB}$) measured by two parallel electrodes of the below cube was found to be $0.0001 {\mathrm{\Omega }}^{-1}.$ If the volume enclosed between two electrodes contains $0.5$ moles of salt, what is the molar conductivity of the salt at the same concentration?

The molar conductivity of $0.025 \mathrm{mol} {\mathrm{L}}^{-1}$ methanoic acid is $46.1 \mathrm{S} {\mathrm{cm}}^{2 }{\mathrm{mol}}^{-1}.$ Then, its degree of dissociation is

[Given: $\mathrm{\lambda }°\left({\mathrm{H}}^{+}\right)=349.6 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1}$ and $\mathrm{\lambda }°\left({\mathrm{HCOO}}^{-}\right)=$$\left.54.6 \mathrm{S} {\mathrm{cm}}^{2 }{\mathrm{mol}}^{-1}\right]$