1. Conduct a parallel development to that in the text for this Lindemann reaction.
(a) What are the analogs of kproducts and k‡ in your reaction.
(b) what is your time constant in TST terms?
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2. Turn now to the macroscopic theory of TST. Plot your data as lnτ vs 1/T.
(a) Obtain Eexp and Δu‡ and Δh‡ from your plotted data. You now have a basic understanding of the physics of the reaction in terms of TST theory. The final step is to obtain the factor A(T) in the macroscopic theory. You wisely took your temperature data over a limited range. So consider T constant for the evaluation of A(T).
(b) Obtain A(T) for the reaction. Consider the expression for A(T) in (14.41). If you pick a midrange value for T (i.e. 290K) there are only two unknowns in A(T). The value of κ must be obtained from hypotheses about the breakup of the activated complex. If you know κ the function A(T) becomes a measure of the activation entropy Δs‡.