2,4-Pentanedione is a considerably stronger acid than acetone (Chapter 19). Write a structural formula for the conjugate base of each acid, and account for the greater stability of the conjugate base from 2,4-pentanedione. CCC(C)=O CC(=O)C=C(C)C Acetone 2,4-Pentanedione \(\mathrm{p} K_{\mathrm{a}} 22\) \(\mathrm{p} K_{\mathrm{a}} 9\)

Short Answer

Expert verified
Answer: 2,4-Pentanedione is a stronger acid than acetone because its conjugate base is more stable. This increased stability is due to the delocalization of the negative charge through resonance in the conjugate base of 2,4-Pentanedione, which is not present in the conjugate base of acetone. The more stable the conjugate base, the stronger the corresponding acid.

Step by step solution

01

Write the structural formulas of the given acids

First, let's write down the structural formulas for both acids, acetone and 2,4-Pentanedione. Acetone: CCC(C)=O 2,4-Pentanedione: CC(=O)C=C(C)C
02

Write the structural formulas for the conjugate bases

Now let's write the structural formulas for the conjugate bases of acetone and 2,4-Pentanedione by removing a proton (H+) from each acid. Acetone conjugate base: CC=C-[O-] 2,4-Pentanedione conjugate base: CC(=O)C=C(C)[C-](=O)
03

Analyze the conjugate base stability

With the conjugate bases drawn, we can now analyze their stability. Stability of a conjugate base is crucial in determining acidity, as more stable conjugate bases lead to stronger acids. In the case of the acetone conjugate base, there is no resonance stabilization as the negative charge on oxygen doesn't participate in any delocalization. However, in the case of the 2,4-Pentanedione conjugate base, the negative charge on the carbon can be effectively delocalized over the two carbonyl groups via resonance, resulting in a more stable conjugate base.
04

Conclusion

The conjugate base of 2,4-Pentanedione is more stable than that of acetone as it is extensively stabilized by resonance. The delocalization of the negative charge in the 2,4-Pentanedione conjugate base lowers its energy and makes it less reactive, leading to a stronger corresponding acid. This explains the lower pKa value of 2,4-Pentanedione as compared to acetone; lower pKa values correspond to stronger acids.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Conjugate Base Stability
Understanding the stability of a conjugate base is crucial when analyzing acidic strength. For an acid to release a proton and become its conjugate base, the base must be able to survive in that state. The more stable the conjugate base, the more likely it is to form, making the original species a stronger acid.

Conjugate bases are negatively charged ions (anions) that result from the loss of a hydrogen ion from an acid. The stability of these bases often depends on several factors, including their ability to distribute the negative charge across the molecule, the electronegativity of the atoms carrying the charge, and the presence of any stabilizing interactions within the molecule like hydrogen bonding or ionic attractions.

In our exercise, the greater stability of the conjugate base of 2,4-pentanedione compared to that of acetone leads to it being a stronger acid. Stability is key in acid-base chemistry and helps us predict and explain the behavior of substances in different chemical reactions.
Resonance Stabilization
Resonance stabilization refers to the phenomenon where the true structure of a molecule is a hybrid of two or more structures, called resonance forms. These forms differ only in the distribution of electrons, not the placement of atoms. In chemistry, resonance is used to explain the greater stability of a conjugate base.

For instance, resonance allows a negative charge to be shared among several atoms, decreasing the energy and reactive nature of the molecule. It’s like spreading out a burden amongst friends rather than one person shouldering it all. Hence, a conjugate base that can take advantage of resonance stabilization will generally be more stable and result in a stronger acid.

In the case of 2,4-pentanedione's conjugate base, the negative charge is delocalized over two carbonyl groups, this delocalization via resonance significantly contributes to its stability compared to acetone’s conjugate base, where such a dispersion is absent.
Structural Formula
Structural formulas are graphical representations of molecules that show how atoms are arranged and bonded together. They are indispensable for studying and understanding chemistry because they provide an insight into the molecular architecture which influences the behavior and properties of the substance.

In acidic strength comparison, the structural formula can immediately tell us about the potential for hydrogen bonding, the presence of electron-withdrawing or -donating groups, and the overall shape of the molecule which can affect its acid-base properties. The structural formula of 2,4-pentanedione's conjugate base illustrates the resonance stabilization, because we can see how the negative charge can resonate between the two carbonyl groups, corroborating the stability discussed earlier.
pKa Values
The acidity of a substance can be quantitatively measured by its pKa value. The pKa is the negative log of the acid dissociation constant (Ka), which measures the strength of an acid in solution. The lower the pKa value, the stronger the acid. This is because a low pKa indicates a greater tendency to donate protons to the base.

In the exercise, 2,4-pentanedione has a pKa of 9 whereas acetone has a pKa of 22. This difference starkly illustrates that 2,4-pentanedione is the stronger acid. Understanding pKa values serves as a quick comparison tool among acids in the realm of organic chemistry, as we can directly relate the stability of conjugate bases to the acidity of the parent molecule.

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Most popular questions from this chapter

Answer True or False to the following statements about energy diagrams and reactions. (a) A reaction coordinate diagram is used to visualize the change in the internal energy of chemical structures that occurs during chemical reactions. (b) Thermodynamics is the study of the energies of structures that are represented by wells on reaction coordinate diagrams. (c) Kinetics is the study of the rates of chemical reactions. (d) One part of a reaction mechanism would be the understanding of which bonds break and form during a reaction. (e) Thermal reactions occur via collisions between molecules, and the more energy in those collisions the greater the rate of the reactions. (f) The enthalpy of a reaction is the sole determinant of whether it will or will not occur. (g) An exergonic reaction will always occur during the life span of the standard human being.

For each value of \(K_{\mathrm{a}}\), calculate the corresponding value of \(\mathrm{p} K_{\mathrm{a}}\). Which compound is the stronger acid? (a) Acetic acid, \(K_{\mathrm{a}}=1.74 \times 10^{-5}\) (b) Chloroacetic acid, \(K_{\mathrm{a}}=1.38 \times 10^{-3}\)

Offer an explanation for the following observations. (a) \(\mathrm{H}_{3} \mathrm{O}^{+}\)is a stronger acid than \(\mathrm{NH}_{4}^{+}\). (b) Nitric acid, \(\mathrm{HNO}_{3}\), is a stronger acid than nitrous acid, \(\mathrm{HNO}_{2}\). (c) Ethanol and water have approximately the same acidity. (d) Trifluoroacetic acid, \(\mathrm{CF}_{3} \mathrm{COOH}\), is a stronger acid than trichloroacetic acid, \(\mathrm{CCl}_{g} \mathrm{COOH}\).

Complete a net ionic equation for each proton-transfer reaction using curved arrows to show the flow of electron pairs in each reaction. Label the original acid and its conjugate base; then label the original base and its conjugate acid. (a) \(\mathrm{NH}_{4}^{+}+\mathrm{OH}^{-} \rightleftharpoons\) (b) \(\mathrm{CH}_{3} \mathrm{COO}^{-}+\mathrm{CH}_{3} \mathrm{NH}_{3}^{+} \rightleftharpoons\) (c) \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{O}^{-}+\mathrm{NH}_{4}^{+} \rightleftharpoons\) (d) \(\mathrm{CH}_{3} \mathrm{NH}_{3}^{+}+\mathrm{OH}^{-} \rightleftharpoons\)

Label the most acidic hydrogen in each molecule, and justify your choice by using appropriate \(\mathrm{p} K_{\mathrm{a}}\) values. (a) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) (b) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) (c) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{C} \equiv \mathrm{CH}\) (d) \(\mathrm{HOCCH}_{2} \mathrm{CH}_{2} \mathrm{SH}\) (e) \(\mathrm{CH}_{3} \mathrm{CHCOH}_{\mathrm{CH}}^{\mathrm{HO}}\) (f) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2} \|_{\mathrm{COH}}^{\mathrm{O}}\) (g) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2} \|_{\mathrm{CO}^{-}}\) (h) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{OH}\)

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