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Part of JPC-03 — Electrochemistry: Nernst, Conductance & Cells

Kohlrausch's Law Applications

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Kohlrausch's law: at infinite dilution, Lambda_m_infinity = sum of limiting ionic conductivities. Each ion contributes independently regardless of counter-ion. Key application: finding Lambda_m_infinity for weak electrolytes. Lambda_m_infinity(CH3COOH) = Lambda_m_infinity(CH3COONa) + Lambda_m_infinity(HCl) - Lambda_m_infinity(NaCl). Strategy: combine strong electrolytes that share the desired ions, cancel unwanted ions by subtraction. Also used for Lambda_m_infinity(H2O) = Lambda_m_infinity(HCl) + Lambda_m_infinity(NaOH) - Lambda_m_infinity(NaCl). Finding Ksp from conductivity: measure kappa of saturated solution, find C = kappa1000/Lambda_m_infinity, then Ksp = s^n (depending on stoichiometry). Finding Ka: measure Lambda_m at concentration C, compute alpha = Lambda_m/Lambda_m_infinity, then Ka = Calpha^2/(1-alpha).

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