For each of these reactions, identify the acid and base among the reactants, and state if the acids and bases are Lewis, Arrhenius, and/or Brønsted–Lowry: (a) PCl4^+ + Cl^- → PCl5 (b) NH3 + BF3 → H3NBF3 (c) [Al(H2O)6]^3+ + H2O → [Al(H2O)5OH]^2+ + H3O^+

Verified step by step guidance

1. Step 1: For reaction (a) PCl4^+ + Cl^- → PCl5, identify the acid and base. PCl4^+ accepts an electron pair from Cl^-, forming PCl5. Therefore, PCl4^+ is the Lewis acid, and Cl^- is the Lewis base.
2. Step 2: For reaction (b) NH3 + BF3 → H3NBF3, identify the acid and base. NH3 donates an electron pair to BF3, forming a coordinate covalent bond. Thus, NH3 is the Lewis base, and BF3 is the Lewis acid.
3. Step 3: For reaction (c) [Al(H2O)6]^3+ + H2O → [Al(H2O)5OH]^2+ + H3O^+, identify the acid and base. [Al(H2O)6]^3+ donates a proton to H2O, forming [Al(H2O)5OH]^2+ and H3O^+. Therefore, [Al(H2O)6]^3+ is the Brønsted–Lowry acid, and H2O is the Brønsted–Lowry base.
4. Step 4: Classify the acids and bases in each reaction according to the definitions: Lewis acids and bases involve electron pair transfer, while Brønsted–Lowry acids and bases involve proton transfer.
5. Step 5: Note that Arrhenius definitions are not applicable here as they specifically involve the formation of H^+ and OH^- in aqueous solutions, which is not the case in these reactions.

Key Concepts

Acid-Base Theories

There are several theories that define acids and bases, the most notable being Arrhenius, Brønsted–Lowry, and Lewis. Arrhenius acids produce H+ ions in solution, while bases produce OH- ions. Brønsted–Lowry defines acids as proton donors and bases as proton acceptors. Lewis theory expands this definition, categorizing acids as electron pair acceptors and bases as electron pair donors. Understanding these theories is crucial for identifying the nature of reactants in acid-base reactions.

Lewis Acids and Bases

In Lewis theory, an acid is defined as a species that can accept an electron pair, while a base is one that can donate an electron pair. This concept is broader than the other theories, as it includes reactions that do not involve protons. For example, in the reaction between NH3 and BF3, NH3 acts as a Lewis base by donating an electron pair to BF3, which is a Lewis acid. Recognizing these roles is essential for analyzing the given reactions.

Proton Transfer Reactions

Proton transfer reactions are fundamental to Brønsted–Lowry acid-base theory, where acids donate protons (H+) and bases accept them. In the reaction involving [Al(H2O)6]^3+ and H2O, the aluminum complex acts as a Brønsted acid by donating a proton to water, forming hydroxide and hydronium ions. Identifying these proton transfers helps clarify the roles of reactants in acid-base reactions and their classifications under different theories.