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 = sns^n (depending on stoichiometry). Finding Ka: measure LambdamLambda_m at concentration C, compute alpha = \frac{Lambda_m}{Lambda_m_infinity}, then Ka = Calpha^21alpha\frac{2}{1-alpha}.

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