ElectrochemistryhardMCQ SINGLE

In a highly specialized conductivity cell, it is observed that the measured electrical conductance (Electrochemistry Chemistry Question

Question

In a highly specialized conductivity cell, it is observed that the measured electrical conductance ($G$) of an electrolyte solution is numerically exactly equal to its specific conductance ($\kappa$). What must be the precise value of the cell constant ($l/A$) for this specific apparatus?

Answer: B

💡 Solution & Explanation

The fundamental relationship between specific conductance ($\kappa$), conductance ($G$), and the cell constant ($G^* = l/A$) is given by the formula $\kappa = G \times (l/A)$. If it is empirically given that $\kappa = G$, substituting this into the equation yields $G = G \times (l/A)$, which simplifies directly to $l/A = 1\text{ cm}^{-1}$ (unity).

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