Question:

The resistance of a conductivity cell filled with 0.02 M KCl solution is 520 ohm at 298 K. The conductivity of the solution at 298 K is (Cell constant = 130 cm\(^{-1}\)):

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The conductivity is inversely proportional to the resistance of the solution and directly proportional to the cell constant.
Updated On: Mar 7, 2025
  • \(0.50 \, {S cm}^{-1}\)
  • \(1.25 \, {S cm}^{-1}\)
  • \(0.025 \, {S cm}^{-1}\)
  • \(0.25 \, {S cm}^{-1}\)
  • \(0.75 \, {S cm}^{-1}\)
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The Correct Option is D

Solution and Explanation

The conductivity (\(\kappa\)) of the solution is related to the resistance (\(R\)) by the formula: \[ \kappa = \frac{1}{R} \times {Cell constant} \] Substituting the given values: \[ \kappa = \frac{1}{520} \times 130 = 0.25 \, {S cm}^{-1} \]
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