JEE Main · 2021 · 31 Aug 2021 · Shift 2 · Redox Reactions and Electrochemistry

The cell constant is the ratio of electrode separation to area, $G^{\ast }=l/A$, with unit ${\mathrm{m}}^{-1}$. Conductivity $\kappa =1/\rho$ has unit ${\Omega }^{-1}{\mathrm{m}}^{-1}$. Molar conductivity ${\Lambda }_m=\kappa /c$ is expressed in $\mathrm{S}\mathrm{c}{\mathrm{m}}^2\mathrm{mo}{\mathrm{l}}^{-1}$. The degree of dissociation is a ratio of amounts and is dimensionless. Thus cell constant goes with ${\mathrm{m}}^{-1}$, molar conductivity with $\mathrm{S}\mathrm{c}{\mathrm{m}}^2\mathrm{mo}{\mathrm{l}}^{-1}$, conductivity with ${\Omega }^{-1}{\mathrm{m}}^{-1}$ and degree of dissociation with dimensionless.