ChemistryOrganic ChemistryMedium

Carboxylic Acid

Also known as:Organic acidAlkanoic acid

A carboxylic acid is an organic compound containing a carboxyl group (–COOH), which consists of both a carbonyl (C=O) and a hydroxyl (–OH) group attached to the same carbon. Carboxylic acids are weak acids that partially dissociate in water to donate a proton (H⁺) from the –OH group, with the resulting carboxylate anion stabilized by resonance. They are widespread in biology (amino acids, fatty acids, citric acid cycle intermediates) and industry (acetic acid for vinegar, benzoic acid as a preservative).

Key Formula

R-COOH <=> R-COO(-) + H(+); Ka = [RCOO-][H+] / [RCOOH]

LaTeX: R\text{-}COOH \rightleftharpoons R\text{-}COO^- + H^+, \quad K_a = \frac{[R\text{-}COO^-][H^+]}{[R\text{-}COOH]}

SymbolMeaningUnit
Ralkyl or aryl groupnone
Kaacid dissociation constantmol/L
[R-COO⁻]carboxylate ion concentrationmol/L
[H⁺]proton concentrationmol/L

Worked Example

Problem

Acetic acid (CH₃COOH) has Ka = 1.8 × 10⁻⁵. Find the pH of a 0.10 M acetic acid solution.

Solution

Step 1: Set up ICE table. Initial: [CH₃COOH] = 0.10 M, [CH₃COO⁻] = 0, [H⁺] = 0. Step 2: At equilibrium: [CH₃COO⁻] = [H⁺] = x; [CH₃COOH] = 0.10 − x. Step 3: Ka = x² / (0.10 − x). Since Ka is small, approximate 0.10 − x ≈ 0.10. Step 4: x² = 1.8 × 10⁻⁵ × 0.10 = 1.8 × 10⁻⁶. Step 5: x = √(1.8 × 10⁻⁶) = 1.34 × 10⁻³ M. Step 6: pH = −log(1.34 × 10⁻³) = 2.87.

Answer

pH ≈ 2.87

Common Carboxylic Acids and Their Properties

NameFormulaKa (25°C)pKaOccurrence/Use
Formic acidHCOOH1.77 × 10⁻⁴3.75Ant venom, leather tanning
Acetic acidCH₃COOH1.8 × 10⁻⁵4.74Vinegar, solvent
Propionic acidC₂H₅COOH1.34 × 10⁻⁵4.87Food preservative
Benzoic acidC₆H₅COOH6.5 × 10⁻⁵4.19Food preservative (E210)
Lactic acidCH₃CHOHCOOH1.4 × 10⁻⁴3.86Muscle metabolism, yogurt

Interactive Tools

Khan Academy — Carboxylic Acids

Lessons on carboxylic acid structure, acidity, and reactions

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Wolfram Alpha

Compute pH and equilibrium concentrations for carboxylic acid solutions

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NIST Chemistry WebBook

Accurate Ka values, thermodynamic data, and IR spectra for carboxylic acids

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Structural diagram of the carboxyl (–COOH) functional group in a generic carboxylic acid

Wikimedia Commons, CC BY-SA

Related Terms

From Latin "carbo" (carbon/coal) + "oxy-" (oxygen, from Greek "oxys," sharp/acid) + "-lic" (adjectival suffix). The carboxyl group name was coined in the 19th century to reflect the carbon-oxygen-oxygen (C(=O)OH) composition. Hermann Kolbe and others systematized carboxylic acid chemistry in the 1840s–60s.

weak-acidcarboxylesterificationfatty-acidpHdissociation