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Part of JPC-06 — Chemical Kinetics: Rate Laws & Arrhenius Equation

Arrhenius Equation

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k = A * e^(-Ea/RT). A = pre-exponential (frequency) factor — represents collision frequency with correct orientation. Ea = activation energy (J/mol or kJ/mol). R = 8.314 J/(mol.K). Logarithmic form: ln(k) = ln(A) - Ea/(RT). Plot ln(k) vs 1/T: straight line, slope = -Ea/R, intercept = ln(A). Two-temperature form: ln(k2/k1) = (Ea/R)(1/T1 - 1/T2). Using log: log(k2/k1) = (Ea/2.303R)(1/T1 - 1/T2). Temperature coefficient: for most reactions near room temperature, rate doubles for every 10 K rise (k2/k1 ≈ 2 for T2 - T1 = 10). A higher Ea means stronger temperature dependence. At T -> infinity, k -> A (maximum possible rate constant).

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