Passage 8: Diels-Alder Reaction
In an intriguing study, researchers conducted a study on the Diels-Alder reaction
between cyclopentadiene and maleic anhydride. The Diels-Alder reaction is a
pericyclic reaction that forms a six-membered ring via a concerted mechanism. A
series of experiments was performed, with a focus on reaction rate, the influence
of temperature, and the equilibrium between major and minor products under
different conditions.
To begin, cyclopentadiene and maleic anhydride were reacted in toluene solvent
at increasing temperatures, and samples were taken at different time points to
determine reaction rates. Data was tabulated in Table 1:
Cyclopentadiene + Maleic Anhydride → Norsolene Diimide (Reaction 1)
Product distribution between endo and exo adducts was also analyzed. An endo
adduct of the Diels-Alder reaction is one in which the newly added substituents are
positioned on the same side of the ring as the electron-withdrawing group on the
dienophile. This results in a more sterically hindered, but stabilizing, interaction via
secondary orbital overlap. The exo adduct is just the opposite: the substituents are
placed on opposite sides of the ring in a fashion that is less sterically hindered but
also lacks secondary orbital interactions.
Temperature and solvent polarity were varied and this product distribution was
measured. An alternative reaction between cyclopentadiene and methyl vinyl
ketone (as opposed to maleic anhydride) was observed under the same conditions.
These results are shown in Table 2:
The presence of chemical species that were not consumed during the course
of reaction (AlCl3 and NaOMe) were also examined for their effects on product
distribution
While the general trends conformed to theoretical expectations, anomalies were
noted. At higher concentrations of AlCl3, the expected dominance of the exoadduct did not materialize as strongly as anticipated. Furthermore, the presence of
NaOMe skewed toward the endo adduct even at higher temperatures, and it was
theorized that pH effects were responsible for this deviation.
Given the role of temperature in derived reaction rates provided in the
passage, which of the following thermodynamic assumptions is definitely true?
A) The reaction is endothermic because the rate constant increases with
temperature
B) The reaction is exothermic because the rate constant increases with
temperature
C) The activation energy of the reaction is positive
D) The reaction reaches equilibrium faster at higher temperatures
Correct answer: C. The Arrhenius equation, describing how the
rate constant changes with temperature, is given by k = Ae-Ea/(RT). A positive
activation energy implies that energy is supplied for the reaction to proceed, which
is consistent with the observation that temperature increases the rate constant.
Therefore, the reaction must have a positive activation energy.