Page 174 - Instant notes
P. 174

Physical chemistry     160


        exponent, or sum of exponents, equals two the reaction is described as second order with
        respect  to  that  species,  or  second  order overall, respectively, and so on. Both the rate
        laws:
                   2
           rate=k 1[A]
        and
           rate=k 2[A][B]

        are second order overall, but whereas the first rate law is second order in species A only,
        the second rate law is first order in each of species A and B.
           If a reactant species appears in the balanced chemical equation for the reaction but
        does not appear in the rate law then the reaction is  zero order  with respect to that
        species. Zero order terms are not usually written  in  rate  law  equations  since  the
        concentration of any species to the power zero is just unity. For example, the rate law for
        the aqueous phase iodination of propanone:
                                            +
               +
           I 2+H +CH 3COCH 3→CH 2ICOCH 3+HI+H
        is:
                  +
           rate=k[H ][CH 3COCH 3]
        The reaction is therefore zeroth order in iodine concentration, first order in each of the
        hydrogen ion and propanone concentrations, and second order overall.
           The exponents do not have to be integers, and for rate laws not of the general form
              β
           α
        [A] [B] …the order is not a definable quantity. The rate law for the formation of HBr
        from H 2 and Br 2 is:



        so the reaction is first order with respect to H 2 concentration, but has an indefinite order
        with respect to both Br 2 and HBr concentrations and an indefinite order overall (see
        Topic F6).


                                       Molecularity

        The  molecularity of a reaction is the number of species  which come together in the
        reaction. The complex rate law for the H 2+Br 2 reaction indicates that the reaction does
        not proceed through a single step collision between undissociated hydrogen and bromine
        molecules, but consists of several separate  elementary reactions.  One  of these is the
        reaction between hydrogen atoms and bromine molecules:
           H+Br 2→HBr+Br
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