20 Chapter 20 – Carboxylic Acids and Nitriles Solutions to Problems

Chapter 20 – Carboxylic Acids and Nitriles

Solutions to Problems

20.1 Carboxylic acids are named by replacing –e of the corresponding alkane with –oic acid.

The carboxylic acid carbon is C1.

When –CO2H is a substituent of a ring, the suffix –carboxylic acid is used; the carboxyl carbon is not numbered in this system.

(a)

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(b)

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(c)

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(d)

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(e)

(f)

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20.2  

(a)

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(b)

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(c)

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(d)

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(e)

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(f)

CH3CH2CH=CHCN

2-Pentenenitrile

 

20.3 Naphthalene is insoluble in water and benzoic acid is only slightly soluble. The salt of benzoic acid is very soluble in water, however, and we can take advantage of this solubility in separating naphthalene from benzoic acid.

Dissolve the mixture in an organic solvent, and extract with a dilute aqueous solution of sodium hydroxide or sodium bicarbonate, which will neutralize benzoic acid.

Naphthalene remains in the organic layer, and all the benzoic acid, now converted to the benzoate salt, is in the aqueous layer. To recover benzoic acid, remove the aqueous layer, acidify it with dilute mineral acid, and extract with an organic solvent.

 

20.4  

Initial molarity Molarity after dissociation
Cl2CHCO2H 0.10 M 0.10 M – y
Cl2CHCO2 0 y
H3O+ 0 y

Using the quadratic formula to solve for y, we find that y = 0.0434 M

 

20.5 Use the Henderson–Hasselbalch equation to calculate the ratio.

(a)

(b)

 

20.6 You would expect lactic acid to be a stronger acid because the electron-withdrawing inductive effect of the hydroxyl group can stabilize the lactate anion.

 

20.7  

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The pKa1 of oxalic acid is lower than that of a monocarboxylic acid because the carboxylate anion is stabilized both by resonance and by the electron-withdrawing inductive effect of the nearby second carboxylic acid group.

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The pKa2 of oxalic acid is higher than pKa1 because an electrostatic repulsion between the two adjacent negative charges destabilizes the dianion.

 

20.8 A pKa of 4.45 indicates that p-cyclopropylbenzoic acid is a weaker acid than benzoic acid. This, in turn, indicates that a cyclopropyl group must be electron-donating. Since electron-donating groups increase reactivity in electrophilic substitution reactions, p-cyclopropylbenzene should be more reactive than benzene toward electrophilic bromination.

 

20.9 Remember that electron-withdrawing groups increase carboxylic acid acidity, and electron-donating groups decrease carboxylic acid acidity. Benzoic acid is more acidic than acetic acid.

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20.10 In part (a), Grignard carboxylation must be used because the starting materials can’t undergo SN2 reactions. In (b), either method can be used.

(a)

(b)

 

20.11  

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The alcohol product can be formed by reduction of a carboxylic acid with LiAlH4. The carboxylic acid can be synthesized either by Grignard carboxylation or by nitrile hydrolysis. The product can also be formed by a Grignard reaction between benzyl bromide and formaldehyde.

 

20.12  

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After treating the initial alcohol with PBr3, the same steps as used in the previous problem can be followed. A Grignard reaction between the cycloalkylmagnesium bromide and formaldehyde also yields the desired product.

 

20.13  

(a)

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This symmetrical ketone can be synthesized by a Grignard reaction between propanenitrile and ethylmagnesium bromide.

(b)

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p-Nitroacetophenone can be synthesized by either of two Grignard routes.

 

20.14  

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Once you realize that the product results from a Grignard reaction with a nitrile, this synthesis is easy.

 

20.15  

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The positions of the carbonyl absorptions are too similar to be useful. The –OH absorptions, however, are sufficiently different for distinguishing between the compounds; the broad band of the carboxylic acid hydroxyl group is especially noticeable.

 

10.16  

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The distinctive peak at 12 δ serves to identify the carboxylic acid. For the hydroxyketone, the absorption of the hydrogen on the oxygen-bearing carbon (3.5–4.5 δ) is significant.

The position of absorption of the hydroxyl hydrogen is unpredictable, but addition of D2O to the sample can be used to identify this peak.

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The positions of the carbonyl carbon absorptions can be used to distinguish between these two compounds. The hydroxyketone also shows an absorption in the range 50–60 δ due to the hydroxyl group carbon.

 

Additional Problems

Visualizing Chemistry

20.17  

(a)

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(b)

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(c)

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(d)

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20.18  

(a)

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(b)

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(a) p-Bromobenzoic acid is more acidic than benzoic acid because the electron-withdrawing bromine stabilizes the carboxylate anion.

(b) This p-substituted aminobenzoic acid is less acidic than benzoic acid because the electron-donating group destabilizes the carboxylate anion.

 

20.19  

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Nitrile hydrolysis can’t be used to synthesize the above carboxylic acid because the tertiary halide precursor (shown on the right) doesn’t undergo SN2 substitution with cyanide. Grignard carboxylation also can’t be used because the acidic hydroxyl hydrogen interferes with formation of the Grignard reagent. If the hydroxyl group is protected, however, Grignard carboxylation can take place.

 

20.20 The electrostatic potential maps show that the aromatic ring of anisole is more electron-rich (red) than the aromatic ring of thioanisole, indicating that the methoxyl group is more strongly electron-donating than the methylthio group. Since electron-donating groups decrease acidity, p-(methylthio)benzoic acid is likely to be a stronger acid than p-methoxybenzoic acid.

 

Mechanism Problems

20.21  

(a)

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Mechanism

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(b)

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Mechanism:

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20.22  

(a)

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Mechanism:

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(b)

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Mechanism:

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20.23  

(a)

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Mechanism:

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(b)

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Mechanism:

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20.24  

(a)

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Mechanism:

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(b)

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Mechanism:

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20.25  

(a)

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Mechanism:

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(b)

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Mechanism:

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20.26  

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Mechanism:

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20.27  

(a)

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Step 1: Protonation of acetal oxygen.

Step 2: Loss of cyanohydrin.

Step 3: Addition of water, followed by deprotonation.

 (b)

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Deprotonation of the cyanohydrin hydroxyl group is followed by loss of CN, forming 2-butanone.

 

20.28  

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Nucleophilic addition (1), alkyl shift (2), and displacement of bromide (3) lead to the observed product.

 

20.29  

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20.30  

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The following steps take place in the Ritter reaction:

Step 1: Protonation of the alkene double bond;

Step 2: Attack of the nitrogen lone pair electrons on the carbocation;

Step 3: Attack of water on the nitrile carbon;

Step 4: Deprotonation;

Step 5: Tautomerization to the ketone.

 

Naming Carboxylic Acids and Nitriles

20.31  

(a)

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(b)

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(c)

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(d)

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(e)

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(f)

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(g)

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(h)

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20.32  

(a) (b)
image HO2CCH2CH2CH2CH2CH2CO2H

Heptanedioic acid

(c) (d)
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(e) (f)
image (C6H5)3CCO2H

Triphenylacetic acid

(g) (h)
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20.33  

(a)

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(b)

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20.34  

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20.35  

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Acidity of Carboxylic Acids

20.36 Less acidic ———-> More acidic

(a)

CH3CO2H     <   HCO2H    <  HO2C – CO2H

Acetic acid     Formic acid      Oxalic acid

(b)

p-Bromobenzoic acid      <        p-Nitrobenzoic acid           <         2,4-Dinitrobenzoic acid

(weakly electron-                      (strongly electron-                       (two strongly electron-

withdrawing substituent)        withdrawing substituent)          withdrawing substituents)

(c)

FCH2CH2CO2H < ICH2CO2H < FCH2CO2H

In (c), the strongest acid has the most electronegative atom next to the carboxylic acid group. The next strongest acid has a somewhat less electronegative atom next to the carboxylic acid group. The weakest acid has an electronegative atom two carbons away from the carboxylic acid group.

 

20.37 Remember that the conjugate base of a weak acid is a strong base. In other words, the stronger the acid, the weaker the base derived from that acid.

Less basic —————> More basic

(a)

Mg(OAc)2 < Mg(OH)2 < H3C MgBr+

Acetic acid is a much stronger acid than water, which is a much, much stronger acid than methane. The order of base strength is just the reverse.

(b)

Sodium p–nitrobenzoate < Sodium benzoate < HC≡C Na+

p-Nitrobenzoic acid is stronger than benzoic acid, which is much stronger than acetylene.

(c)

HCO2Li+ < HOLi+ < CH3CH2O Li+

LiOH and LiOCH2CH3 are very similar in basicity

 

20.38  

(a)

Ka = 8.4 × 10–4 for lactic acid

pKa = –log (8.4 × 10–4) = 3.08

(b)

Ka = 5.6 × 10–6 for acrylic acid

pKa = –log (5.6 × 10–6) = 5.25

 

20.39  

(a)

pKa = 3.14 for citric acid

Ka = 10–3.14 = 7.2 × 10–4

 (b)

pKa = 2.98 for tartaric acid

Ka = 10–2.98 = 1.0 × 10–3

 

20.40  

 

20.41  

Uric acid is acidic because the anion formed by dissociation of any of the three hydrogens is stabilized by resonance. An example of a resonance form:

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20.42 Inductive effects of functional groups are transmitted through σ bonds. For oxalic acid, the electron-withdrawing inductive effect of one carboxylic acid group decreases the acidity of the remaining group. However, as the length of the carbon chain increases, the effect of one functional group on another decreases. In this example, the influence of the second carboxylic acid group on the ionization of the first is barely felt by succinic and adipic acids.

 

Reactions of Carboxylic Acids and Nitriles

20.43  

 

20.44  

 

20.45  

(a)

(b)

(c)

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20.46  

(a)

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(b)

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(c)

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Alternatively, benzyl bromide can be converted to a Grignard reagent, poured over CO2, and the resulting mixture can be treated with aqueous acid in the last step.

 

20.47  

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In (c), the acidic proton reacts with the Grignard reagent to form methane, for no net reaction.

 

20.48  

(a)

(b)

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20.49  

(a)

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Grignard carboxylation can also be used to form the carboxylic acid.

(b)

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Only Grignard carboxylation can be used because CN brings about elimination of the tertiary bromide to form a double bond.

 

20.50  

(a) Grignard carboxylation can’t be used to prepare the carboxylic acid because of the acidic hydroxyl group. Use nitrile hydrolysis.
(b) Either method produces the carboxylic acid. Grignard carboxylation is a better reaction for preparing a carboxylic acid from a secondary bromide. Nitrile hydrolysis produces an optically active carboxylic acid from an optically active bromide.
(c) Neither method of acid synthesis yields the desired product. Any Grignard reagent formed will react with the carbonyl functional group present in the starting material. Reaction with cyanide occurs at the carbonyl functional group, producing a cyanohydrin, as well as at halogen. However, if the ketone is first protected by forming an acetal, either method can be used.
(d) Since the hydroxyl proton interferes with formation of the Grignard reagent, nitrile hydrolysis must be used to form the carboxylic acid.

 

20.51  

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20.52  

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As in all of these more complex syntheses, other routes to the target compound are possible. This route was chosen because the Grignard reaction introduces a double bond without removing functionality at carbon 3. Dehydration occurs in the desired direction to produce a double bond conjugated with the carboxylic acid carbonyl group.

 

Spectroscopy

20.53 The peak at 1.08 δ is due to a tert-butyl group, and the peak at 11.2 δ is due to a carboxylic acid group. The compound is 3,3-dimethylbutanoic acid, (CH3)3CCH2CO2H.

 

20.54 Either 13C NMR or 1H NMR can be used to distinguish among these three isomeric carboxylic acids.

 

20.55 In all of these pairs, different numbers of peaks occur in the spectra of each isomer. (a), (b) Use either 1H NMR or 13C NMR to distinguish between the isomers.

(a)

 

 

(b)

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(c) Use 1H NMR to distinguish between these two compounds. The carboxylic acid proton of CH3CH2CH2CO2H absorbs near 12 δ, and the aldehyde proton of HOCH2CH2CH2CHO absorbs near 10 δ and is split into a triplet.
(d) Cyclopentanecarboxylic acid shows four absorptions in both its 1H NMR and 13C NMR spectra. (CH3)2C=CHCH2CO2H shows six absorptions in its 13C NMR and five in its 1H NMR spectrum; one of the 1H NMR signals occurs in the vinylic region (4.5 – 6.5 δ) of the spectrum. The 13C NMR spectrum of the unsaturated acid also shows two absorptions in the C=C bond region (100–150 δ).

 

20.56 The compound has one degree of unsaturation, which is due to the carboxylic acid absorption seen in the IR spectrum.

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General Problems

20.57 2-Chloro-2-methylpentane is a tertiary alkyl halide and CN is a base. Instead of the desired SN2 reaction of cyanide with a halide, E2 elimination occurs and yields 2-methyl-2-pentene.

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20.58  

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20.59  

(a) Use CO2 instead of NaCN to form the carboxylic acid, or eliminate Mg from this reaction scheme and form the acid by nitrile hydrolysis.
(b) Reduction of a carboxylic acid with LiAlH4 yields an alcohol, not an alkyl group.
(c) Acidic hydrolysis of the nitrile will also dehydrate the tertiary alcohol. Use basic hydrolysis to form the carboxylic acid.

 

20.60  

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Notice that the order of the reactions is very important. If toluene is oxidized first, the nitro group will be introduced in the meta position. If the nitro group is reduced first, oxidation to the carboxylic acid will reoxidize the –NH2 group.

 

20.61  

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Other routes to this compound are possible. The illustrated route was chosen because it introduced the potential benzylic functional group and the potential carboxylic acid in one step. Notice that the aldehyde functional group and the cyclohexyl group both serve to direct the aromatic chlorination to the correct position. Also, reaction of the hydroxy acid with SOCl2 converts –OH to –Cl and –CO2H to –COCl. Treatment with H3O+ regenerates the carboxylic acid.

 

20.62  

* Electrophilic aromatic substitution

Recall from Section 20.4 that substituents that increase acidity also decrease reactivity in electrophilic aromatic substitution reactions. Of the above substituents, only –Si(CH3)3 is an activator.

 

20.63  

(a) image

Again, other routes to this compound are possible. The above route was chosen because it has relatively few steps and because the Grignard reagent can be prepared without competing reactions. Notice that nitrile hydrolysis is not a possible route to this compound because the halide precursor is tertiary and doesn’t undergo SN2 substitution.

(b) image

The product results from two Grignard reactions. As in (a), nitrile hydrolysis is not a route to this compound.

 

20.64 As we have seen throughout this book, the influence of substituents on reactions can be due to inductive effects and/or resonance effects. For m-hydroxybenzoic acid, the negative charge of the carboxylate anion is stabilized by the electron-withdrawing inductive effect of –OH, making this isomer more acidic. For p-hydroxybenzoic acid, the negative charge of the anion is destabilized by the electron-donating resonance effect of –OH that acts over the π electron system of the ring but is not important for m-substituents.

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20.65  

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(a) BH3, THF, then H2O2, OH; (b) PBr3; (c) Mg, then CO2, then H3O+ (or CN, then H3O+); (d) LiAlH4, then H3O+; (e) Dess–Martin periodinane, CH2Cl2; (f) H2NNH2, KOH

 

20.66 A compound with the formula C4H7N has two degrees of unsaturation. The IR absorption at 2250 cm–1 identifies this compound as a nitrile.

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20.67 Both compounds contain four different kinds of protons (the H2C= protons are nonequivalent). The carboxylic acid proton absorptions are easy to identify; the other three absorptions in each spectrum are more complex.

It is possible to assign the spectra by studying the methyl group absorptions. The methyl group peak of crotonic acid is split into a doublet by the geminal (CH3CH=) proton, while the methyl group absorption of methacrylic acid is a singlet. The first spectrum (a) is that of crotonic acid, and the second spectrum (b) is that of methacrylic acid.

 

20.68 2-Methyl-2-pentenoic acid

 

20.69
(a) From the formula, we know that the compound has 2 degrees of unsaturation, one of which is due to the carboxylic acid group that absorbs at 183.0 δ. The 13C NMR spectrum also shows that no other sp2 carbons are present in the sample and indicates that the other degree of unsaturation is due to a ring, which is shown to be a cyclohexane ring by symmetry and by the types of carbons in the structure.
(b) The compound has 5 degrees of unsaturation, and is a methyl-substituted benzoic acid. The symmetry shown by the aromatic absorptions identifies the compound as p-methylbenzoic acid.
(a) image
(b) image

 

20.70  

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Step 1: Deprotonation.

Step 2: Decarboxylation.

Step 3: Protonation.

This reaction proceeds because of the loss of CO2 and the stability of the enolate anion.

 

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