CHM1046 LECTURE NOTES13.3The Rate Law of a Reaction:- Rate Law shows the dependence of the rate of a reaction on the concentrations of different reactants- aA cC + dDRate Law: Rate = k [A]mk= rate constant, and m= the order of the reaction with respect to AReaction order for multiple reactions:aA + bB cC + dDRate= k[A]m[B]nm= the order of the reaction with respect to An= the order of the reaction with respect to BOverall order of reaction = m + n(do example 13.2 in book for practice)The integrated Rate Law: dependence of contration on timeZero order : [A]t = -kt + [A]o1st order: ln[A]t= -kt + ln[A]o2nd order= 1/[A]t= -kt + 1/[A]o(On a graph, the second order reaction is the only one that will have an increasing line. Both zero and first order reactions will show a decreasing line)The half-life of a reaction: The time required for concentration of reactant to fall ½ of its initial value1st order1/2 t= 0.693/k (always use this for a first order reaction half life) 2nd order1/2 t= 1/k[A]ozero order1/2t = [A]o/
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