Organic Mechanisms. Xiaoping Sun

Organic Mechanisms - Xiaoping Sun


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target="_blank" rel="nofollow" href="#ulink_5bc7a755-ef6d-5b20-9425-47a730d3a2cd">(1.11)

      Therefore,

      The half‐life (t1/2) of reactant A (the time required for conversion of one‐half of the reactant to the product, i.e., when t = t1/2, [A] = ½ [A]0) can be solved from Equation 1.12 as follows:

       Bimolecular reactions

      A bimolecular reaction that involves two reactant molecules of the same compound (Eq. 1.4: 2A ➔ P) follows the second‐order rate law as shown below:

      where k is the rate constant (with the typical unit of M−1s−1) for the reaction.

      From Equation 1.18, we have

      Integrating Equation 1.21 on both sides and applying the boundary condition t = 0, x = 0, we have

      If the reactants A and B have different initial concentrations, Equation 1.19 becomes


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