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38. A resistance of 50 is registered when two electrodes are suspended in a dilute strong electrolytElectrochemistry Chemistry Question

Question

38. A resistance of 50 $\Omega$ is registered when two electrodes are suspended in a dilute strong electrolyte such that exactly half of their surface area is submerged. If pure water is added to just completely submerge the electrodes, what is the new resistance?

Answer: B

💡 Solution & Explanation

Diluting to double the volume halves the concentration, causing specific conductivity ($\kappa$) to strictly halve. However, completely submerging the electrodes exactly doubles the effective cross-sectional area ($A$). $R = \frac{1}{\kappa} \frac{l}{A}$. Since $1/\kappa$ doubles and $1/A$ halves, the factors cancel out, leaving resistance exactly at 50 $\Omega$.

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