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

Which of the following expressions correctly represents the equivalent conductance at infinite dilution of $Al_2(SO_4)_3$? Given that $\Lambda_{Al^{3+}}^o$ and $\Lambda_{SO_4^{2-}}^o$ are the equivalent conductances at infinite dilution of the respective ions.

If the resistance of $0.1 \ M \ KCl$ solution in a conductance cell is $300 \ \Omega$ and conductivity is $0.013 \ S \ cm^{-1}$,then the value of cell constant is

State Kohlrausch's law of independent migration of ions and explain its applications.

An electrolyte of a polymer-salt complex of poly(ethylene oxide)-LiCF$_{3}$SO$_{3}$ is shaped into a free standing circular film of $20 \ mm$ diameter and a thickness of $20 \ \mu m$. When it is sandwiched between $2$ stainless steel circular electrodes of the same diameter, this cell exhibits a conductance of $\frac{314}{5} \ S$. What is the specific conductivity of the electrolyte?

Which among the following is the $CORRECT$ formula for the determination of cell constant?