What is the $SI$ unit of conductivity?

Calculate the molar conductivity of $0.2 \text{ M}$ $KCl$ solution at $298 \text{ K}$ given that the conductivity $\kappa = 0.0248 \text{ }\Omega^{-1} \text{cm}^{-1}$.

The conductivity of $0.02 \ M$ solution of $AgNO_3$ is $0.00216 \ \Omega^{-1} \ cm^{-1}$ at $298 \ K$. What is its molar conductivity?

The molar conductivity is maximum for the solution of concentration (in $M$)

Equivalent conductances of $BaCl_2$,$H_2SO_4$ and $HCl$ at infinite dilution are $\Lambda_1^\infty$,$\Lambda_2^\infty$ and $\Lambda_3^\infty$ respectively. Then,the equivalent conductance of $BaSO_4$ at infinite dilution will be:

What is the relation between the concentration of solution and molar conductivity $(\Lambda_m)$?