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

Key Relationships and Formulas

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EcellE_{cell} = EcathodeE_{cathode} - EanodeE_{anode} (reduction potentials). Nernst: E = EstandardE_{standard} - 0.0592n\frac{0.0592}{n}log(Q) at 25 C. At equilibrium: E = 0, EstandardE_{standard} = 0.0592n\frac{0.0592}{n}log(K). Thermodynamics: deltaGdelta_G = -nFE, delta_G_{standard} = -nFEstandardnFE_{standard} = -RTln(K). Entropy: deltaSdelta_S = nFdEdT\frac{dE}{dT}. Faraday: m = MItnF\frac{MIt}{nF}, 1 F = 96485 C. Conductance: G = 1/R (S), kappa = G*lA\frac{l}{A} Scm\frac{S}{cm}. LambdamLambda_m = kappa*1000/C (S.cm2cm^2/mol). Kohlrausch: Lambda_m_{infinity} = nu+*lambda+ + nu-*lambda-. Dissociation: alpha = \frac{Lambda_m}{Lambda_m_infinity}. Concentration cell: E = 0.0592n\frac{0.0592}{n}logChighClow\frac{C_high}{C_low}. Quick conversions: 1 F deposits 108 g Ag, 31.75 g Cu, 9 g Al. Volume at STP: 1 mol gas = 22.4 L. 0.0592/n gives the voltage change per decade of Q.

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