Let represent molar conductivity, represent equivalent conductivity, represent specific conductance, — Electrochemistry Chemistry Question
Question
Let $\Lambda_m$ represent molar conductivity, $\Lambda_{eq}$ represent equivalent conductivity, $\kappa$ represent specific conductance, and $z$ be the total positive charge per formula unit of an electrolyte. Which of the following strict mathematical identities and statements are universally CORRECT?
Answer: A,B,C,D
💡 Solution & Explanation
The key relation is $\Lambda_m = \Lambda_{eq} \times \text{n-factor (charge } z)$. For $Al_2(SO_4)_3$, total cationic charge is $2 \times (+3) = 6$, so $\Lambda_m = 6 \Lambda_{eq}$. The standard derived formula for equivalent conductivity uses Normality: $\Lambda_{eq} = 1000 \kappa / N$. For 1:1 electrolytes (like $Na^+Cl^-$), the n-factor is 1, so Molarity exactly equals Normality, making $\Lambda_m = \Lambda_{eq}$.
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