Define anode and cathode.

The conductivity of a $0.01 \mathrm{M}$ solution of a $1:1$ weak electrolyte at $298\mathrm{K}$ is $1.5 \mathrm{x} {10}^{-4} \mathrm{S} {\mathrm{cm}}^{-1}$.

Find molar conductivity of the solution.

The conductivity of a $0.01 \mathrm{M}$ solution of a$1:1$ weak electrolyte at $298 \mathrm{K}$ is $1.5 \times {10}^{-4} \mathrm{S} {\mathrm{cm}}^{-1.}$

Find degree of dissociation and the dissociation constant of the weak electrolyte.

Given that,

$$\begin{gathered} {{\mathrm{\lambda }}^{°}}_{\mathrm{cation}}= 248.2 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \\ {{\mathrm{\lambda }}^{°}}_{\mathrm{anion}}= 51.8 \mathrm{S} {\mathrm{cm}}^2 {\mathrm{mol}}^{-1} \end{gathered}$$