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

Rate of Reaction and Rate Law

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The rate of reaction measures how fast reactant concentrations decrease or product concentrations increase. For aA + bB -> cC + dD: rate = -1a\frac{1}{a}d[A]/dt = 1c\frac{1}{c}d[C]/dt. The rate law, rate = k[A]^m[B]^n, is determined experimentally — orders m and n may differ from stoichiometric coefficients for non-elementary reactions. The rate constant k depends only on temperature and the specific reaction, not on concentration. Units of k for nth order: molL\frac{mol}{L}^(1-n).s1s^{-1}. Zero order: molL.s\frac{mol}{L.s}. First order: s1s^{-1}. Second order: Lmol.s\frac{L}{mol.s}. Overall order = m + n (can be zero, integer, or fractional). For elementary reactions (single-step), molecularity = order. Molecularity is always a positive integer (1, 2, or 3). Multi-step reactions: the slowest step (rate-determining step) determines the overall rate law. Intermediates must be eliminated from the rate expression using pre-equilibrium or steady-state assumptions. The initial rates method is the standard way to determine order: double one concentration at a time and observe the rate change. If rate doubles: order 1. Quadruples: order 2. Unchanged: order 0.

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