Question:

A conductivity cell with two electrodes (dark side) are half filled with infinitely dilute aqueous solution of a weak electrolyte. If volume is doubled by adding more water at constant temperature, the molar conductivity of the cell will -

Updated On: Nov 27, 2024
  • increase sharply
  • remain same or can not be measured accurately
  • decrease sharply
  • depend upon type of electrolyte
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The Correct Option is B

Solution and Explanation

The solution is already infinitely dilute, meaning the molar conductivity is at its maximum value. Adding more water will not dilute the solution further; therefore, there will be no change in molar conductivity. It will remain the same.
\[\text{Molar conductivity } (\Lambda_m) \propto \frac{\kappa}{c}\]
where $\kappa$ is the conductivity and $c$ is the concentration. For infinitely dilute solutions, $c$ is already approaching zero, and $\Lambda_m$ becomes constant.

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