70Lecture 13: Radioactive Decay Kinetics I. Kinetics of First-Order Processes A. Mechanism:1. Nucleus has Internal Structure ZAZAYQQX + B; B B +RANDOM PROCESS: Identical to Unimolecular Decomposition 2. Chemical Analogy V(r)rx N2O42 NO2NOTE: Since atoms and molecules are neutral, if T > 0, they will have (3/2) kT kinetic energy; Collisions may also induce reactions. Collisions are SECOND ORDER; must distinguish order for chemical reactions For nuclei, T 0 and Coulomb barrier prevents collisions; ONLY FIRST ORDER DECAY 3. Nuclear System a. Nomenclature Change [ ]oNo , the number of nuclei initially (Not Avogadro's number) k , the rate constant = f(Q, I) First-order Rate Law is Rate = dNdtNDecay involves internal Ea HN2O4NO2Rate = d = k [N2O4] k = Instantaneous decay rate rearrangement of system.
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