38. A resistance of 50 is registered when two electrodes are suspended in a dilute strong electrolyt β 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?
π‘ 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 $\Omega$.