The resistance of a $0.01\, M$ solution of an $Hg_2Cl_2$ electrolyte was found to be $210\, \Omega$ at $298\, K$ using a conductivity cell with a cell constant of $0.63\, m^{-1}$. The equivalent conductance of the solution is:

Which of the following decreases on dilution of an electrolytic solution?

The resistance of a conductivity cell with cell constant $1.14 \, cm^{-1}$,containing $0.001 \, M \, KCl$ at $298 \, K$ is $1500 \, \Omega$. The molar conductivity of $0.001 \, M \, KCl$ solution at $298 \, K$ in $S \, cm^{2} \, mol^{-1}$ is ...... . (Integer answer)

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

Given below are two statements :
Statement $I :$ The limiting molar conductivity of $KCl$ (strong electrolyte) is higher compared to that of $CH_{3}COOH$ (weak electrolyte).
Statement $II :$ Molar conductivity decreases with decrease in concentration of electrolyte.
In the light of the above statements,choose the most appropriate answer from the options given below:

The equivalent conductance of $H_2SO_4$ at infinite dilution is $384 \, \Omega^{-1} \, cm^2 \, eq^{-1}$. If the solution contains $49 \, g$ of $H_2SO_4$ per liter and the specific conductance is $18.4 \, \Omega^{-1} \, cm^{-1}$,calculate the degree of dissociation in percentage.