Variations of Conductivity with Concentration — Prelims Questions

Which of the following statements is INCORRECT regarding the variation of conductivity with concentration?

The specific conductivity of a 0.01 M solution of an electrolyte is $0.00141$ S cm$^{-1}$. Calculate its molar conductivity in S cm$^2$ mol$^{-1}$.

A plot of molar conductivity ($Lambda_m$) versus the square root of concentration ($sqrt{c}$) for two electrolytes A and B is shown below. Electrolyte A shows a linear decrease, while electrolyte B shows a sharp, non-linear increase. Identify A and B.

If the molar conductivity of a 0.05 M solution of acetic acid (CH$_3$COOH) is $16.2$ S cm$^2$ mol$^{-1}$ and its molar conductivity at infinite dilution is $390.5$ S cm$^2$ mol$^{-1}$, calculate the degree of dissociation ($alpha$) of acetic acid at this concentration.

Which of the following factors is the primary reason for the sharp increase in molar conductivity of a weak electrolyte upon dilution?

The specific conductivity of a 0.02 M solution of a strong electrolyte is $0.00276$ S cm$^{-1}$. If its molar conductivity at infinite dilution is $150$ S cm$^2$ mol$^{-1}$, what would be the approximate value of the constant 'A' in the Debye-Hückel-Onsager equation for this electrolyte?