Here are the essential concepts you must grasp in order to answer the question correctly.
Kinetic Isotope Effect (KIE)
The kinetic isotope effect refers to the change in reaction rate when one atom in a molecule is replaced by one of its isotopes. In this context, the ratio of reaction rates (kH2O/kD2O) indicates how the presence of deuterium affects the hydrolysis of aspirin. A KIE greater than 1 suggests that the bond involving the lighter isotope (H) is broken more easily than that involving the heavier isotope (D), providing insights into the reaction mechanism.
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Catalysis
Catalysis is the process by which the rate of a chemical reaction is increased by the presence of a catalyst, which is not consumed in the reaction. In the case of the hydrolysis of aspirin, the ortho-carboxyl substituent may stabilize the transition state or lower the activation energy, thus facilitating the breaking of the O-H bond. Understanding the type of catalysis (acid-base, covalent, etc.) is crucial for interpreting the KIE results.
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O-H vs. O-D Bond Strength
The strength of O-H bonds is generally weaker than that of O-D bonds due to the difference in mass and bond length. This difference is significant in reactions involving proton transfer or bond cleavage. The hint in the question emphasizes that it is easier to break an O-H bond than an O-D bond, which is critical for understanding why the KIE of 2.2 suggests a specific catalytic mechanism influenced by the ortho-carboxyl group.
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