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Chemistry · Ch 9 — Electrochemistry

Equivalent Conductance

9.1.2

Equivalent Conductance

Equivalent conductance, symbol Λ\Lambda (without the m subscript), is the older, gram-equivalent-based counterpart of molar conductivity, and it remains the natural unit to use whenever a solution's concentration is expressed in normality (N) rather than molarity — as is common in conductometric titrations. It is defined as the conductance of the volume of solution, again call it V m³, that contains exactly one gram-equivalent of the electrolyte, measured between electrodes 1 m apart.

Following exactly the same logic used to derive molar conductance from specific conductance, but replacing molarity with normality, gives the working relationship

Λ (S m2 eq−1)=κ (S m−1)×10−3N (gram-equivalent L−1)\Lambda\ (\text{S m}^2\,\text{eq}^{-1}) = \dfrac{\kappa\ (\text{S m}^{-1}) \times 10^{-3}}{N\ (\text{gram-equivalent L}^{-1})}

where κ is the specific conductance and N is the concentration of the electrolytic solution expressed in normality. Because a gram-equivalent is generally a fraction of a mole (mole divided by the n-factor, e.g. valence for a simple ion), equivalent conductance and molar conductance differ by exactly that same factor for any given electrolyte. …