Thermodynamics reaction plots

Figure 7.7. Plot of the numbers of A, B, and C ingredients illustrating kinetic and thermodynamic reaction control as described in Example 7.5...

Thermodynamic properties such as heats of reaction and heats of formation can be computed mote rehably by ab initio theory than by semiempirical MO methods (55). However, the Hterature of the method appropriate to the study should be carefully checked before a technique is selected. Finally, the role of computer graphics in evaluating quantum mechanical properties should not be overlooked. As seen in Figures 2—6, significant information can be conveyed with stick models or various surfaces with charge properties mapped onto them. Additionally, information about orbitals, such as the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO), which ate important sites of reactivity in electrophilic and nucleophilic reactions, can be plotted readily. Figure 7 shows representations of the HOMO and LUMO, respectively, for the antiulcer dmg Zantac. 

Select Energy (Properties menu). Notice that it updates automatically as you go from one frame to another. This allows you to easily construct reaction energy diagrams (energy vs. frame number or vs. a specific geometrical parameter). Make such a plot for this Sn2 reaction. Note, that the reaction as written is thermodynamically favorable, i.e., it is exothermic. Note also, that only a relatively small energy barrier needs to be surmounted. 

The equilibrium ratios of hydrogen-to-hydrogen sulfide for the reaction, derived (34) from available thermodynamic data (35), are plotted in Figure 10 as a function of temperature. When Ph2/Ph2s over the catalyst is less than the equilibrium value, the nickel can be sulfided and hence poisoned. Conversely, when this ratio is greater than the equi-... 

A ten to hundredfold decrease in the velocity of the reaction, seen as a break down of the Arrhenius plot, is observed at a temperature which, for any given pressure, is always higher than that thermodynamically foreseen for the beginning of the a-/3 transition (this discrepancy is smallest at 265 mm Hg pressure). The marked decrease of the rate of reaction is characteristic of the appearance of the /3-hydride phase. The kinetics of reaction on the hydride follows the Arrhenius law but with different values of its parameters than in the case of the a-phase. 

To illustrate this, we shall start with 2500 A ingredients and set the transition probabilities to Pi (A B) = 0.01, Pi (B A) = 0.02, Pi (A C) = 0.001, and Pi (C A) = 0.0005. Note that these values yield a situation favoring rapid initial transition to species B, since the transition probability for A B is 10 times than that for A C. However, the formal equilibrium constant eq[C]/[A] is 2.0, whereas eq[B]/[A] = 0.5, so that eventually, after the establishment of equilibrium, product C should predominate over product B. This study illustrates the contrast between the short run (kinetic) and the long run (thermodynamic) aspects of a reaction. To see the results, plot the evolution of the numbers of A, B, and C cells against time for a 10,000 iteration run. Determine the average concentrations [A]avg, [B]avg, and [C]avg under equilibrium conditions, along with their standard deviations. Also, determine the iteration Bmax at which ingredient B reaches its maximum value. 

As a model esterification reaction, the formation of ethyl lactate has been studied and its complete kinetic and thermodynamic analysis has been performed. The formation rate of ethyl lactate has been examined as a function of temperature and catalyst loading. In early experiments, it was determined that lactic acid itself catalyzes esterification, so that there is significant conversion even without ion exchange resin present. The Arrhenius plot for both resin-catalyzed and uncatalyzed reactions indicates that the uncatalyzed... 

The endo isomer was the major product, but the proportion of the endo isomer decreased with temperature, from approximately 90% at 0 °C to 85 % at 60 °C [69]. Ge-dye et al. [71] performed the reaction in methanol solution under MW heating in a closed Teflon container and found that the product contained 79% of the endo isomer at an estimated temperature of 110 °C. A plot of temperature versus percent endo isomer is effectively linear between 0 °C and 60 °C and assuming it remains linear to 110°C, the product should contain 80% endo isomer at this temperature. Thus it was concluded that the change in product composition was due to the change in temperature rather than to some special effect of MW. At higher temperatures there is an increase in the proportion of the exo isomer, which is thermodynamically more stable than the endo isomer. 

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