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Core equations: deltaU = q + w (first law). H = U + PV. deltaH = deltaU + deltangasRT. G = H - TS. deltaG = deltaH - TdeltaS. delta_G_{standard} = -RT ln K = -nFEstandard. Process-specific work: free expansion w = 0; constant P: w = -PextdeltaV; reversible isothermal: w = -nRT lnV1V2; adiabatic: w = nCvdeltaT; isochoric: w = 0. Heat capacity: Cp - Cv = R (ideal gas). Entropy: deltaS = Tqrev = nR lnV1V2 for isothermal. Kirchhoff: deltaH(T2) = deltaH(T1) + deltaCp(T2-T1). Hess's law: deltaH = sum(deltaHf products) - sum(deltaHf reactants) = sum(BE broken) - sum(BE formed) = sum(deltaHc reactants) - sum(deltaHc products). Born-Haber: deltaHf = delta_H_{sub} + IE + 1/2 D + EA - U. Trouton's rule: delta_S_{vap} ≈ 85-88 mol.KJ. Key values: R = 8.314 mol.KJ, 1 L.atm = 101.325 J, 1 cal = 4.184 J, F = 96485 C/mol.
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