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\(^{-1}\)):

• A. \(0.50 \, {S cm}^{-1}\)
• B. \(1.25 \, {S cm}^{-1}\)
• C. \(0.025 \, {S cm}^{-1}\)
• D. \(0.25 \, {S cm}^{-1}\)
• E. \(0.75 \, {S cm}^{-1}\)

Hint:

The conductivity is inversely proportional to the resistance of the solution and directly proportional to the cell constant.

Answer 1

The Correct Option is D

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: \[ \kappa = \frac{1}{520} \times 130 = 0.25 \, {S cm}^{-1} \]