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45. The specific conductance of a 0.1 N KCl solution is at 298K. If the resistance of a cell containElectrochemistry Chemistry Question

Question

45. The specific conductance of a 0.1 N KCl solution is $0.012 \text{ S cm}^{-1}$ at 298K. If the resistance of a cell containing this solution is 55 ohms, what is the geometric cell constant of the apparatus?

Answer: A

💡 Solution & Explanation

The fundamental relationship between specific conductance ($\kappa$), resistance (R), and cell constant ($G^*$) is $\kappa = (1/R) \times G^*$. Rearranging gives $G^* = \kappa \times R = 0.012 \text{ S cm}^{-1} \times 55 \text{ \Omega} = 0.66 \text{ cm}^{-1}$.

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