What is a weak electrolyte? Explain the relation between the concentration of a weak electrolyte and molar conductivity with a suitable graph.

(N/A) Weak electrolyte: Electrolytes that undergo partial ionization in their aqueous solution are known as weak electrolytes. They exhibit ionic equilibrium in their aqueous solution. For example,$CH_{3}COOH$,$NH_{4}OH$,etc.
$(b)$ $\Lambda_{m}$ of weak electrolyte solution and concentration: For such electrolytes,the change in $\Lambda_{m}$ with dilution is due to the increase in the degree of dissociation and consequently the number of ions in the total volume of solution that contains $1 \ mol$ of electrolyte.
According to Ostwald's dilution law,the molar conductivity of a weak electrolyte solution increases significantly with a decrease in the concentration of the solution.
$(c)$ Explanation of conductivity on dilution: The dissociation constant of a weak electrolyte like acetic acid is low at higher concentrations. As the solution is diluted,the degree of dissociation increases. Consequently,the total volume of solution containing $1 \ mol$ of weak electrolyte increases,and molar conductivity increases significantly due to the increase in the number of ions.
Limiting molar conductivity of weak electrolyte: The graph of $\Lambda_{m}$ versus $c^{1/2}$ is not linear; it is a curve. Because the curve does not intersect the y-axis at zero concentration,we cannot obtain the value of limiting molar conductivity $\Lambda_{m}^{\circ}$ by extrapolation.