Write the balanced chemical equation for the reaction of each of the following carboxylic acids with KOH:
b. 2-methylbutanoic acid

Verified step by step guidance

1. Identify the carboxylic acid: 2-methylbutanoic acid has the formula ${\text{C}}_5{\text{H}}_{10}{\text{O}}_2$.
2. Write the general reaction for a carboxylic acid with KOH: $\text{RCOOH}+\text{KOH}\to \text{RCOOK}+{\text{H}}_2\text{O}$.
3. Substitute the specific carboxylic acid into the reaction: ${\text{C}}_5{\text{H}}_{10}{\text{O}}_2+\text{KOH}\to {\text{C}}_5{\text{H}}_9{\text{O}}_2\text{K}+{\text{H}}_2\text{O}$.
4. Ensure the equation is balanced: Check that the number of each type of atom is the same on both sides of the equation.
5. Verify the physical states if needed: Typically, carboxylic acids and KOH are in aqueous solution, and the salt formed is also aqueous.

Key Concepts

Carboxylic Acids

Carboxylic acids are organic compounds characterized by the presence of one or more carboxyl groups (-COOH). They are known for their acidic properties due to the ability of the carboxyl group to donate a proton (H+) in solution. Understanding the structure and reactivity of carboxylic acids is essential for predicting their behavior in chemical reactions, such as neutralization with bases like KOH.

Neutralization Reaction

A neutralization reaction occurs when an acid reacts with a base to produce water and a salt. In this context, the carboxylic acid (2-methylbutanoic acid) will react with potassium hydroxide (KOH), a strong base, resulting in the formation of potassium 2-methylbutanoate and water. This concept is fundamental for balancing chemical equations and understanding the stoichiometry involved in acid-base reactions.

Balancing Chemical Equations

Balancing chemical equations is the process of ensuring that the number of atoms for each element is the same on both the reactant and product sides of the equation. This is crucial for accurately representing the conservation of mass in a chemical reaction. In the case of the reaction between 2-methylbutanoic acid and KOH, balancing the equation will involve adjusting coefficients to reflect the stoichiometric relationships between the reactants and products.