38. A resistance of 50 is registered when two electrodes are suspended in a dilute strong electrolyt — Electrochemistry 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?
💡 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 $\Omega$.