Acidity of Hydrated Metal Ions

Charge density and hydrolysis of [M(H₂O)₆]ⁿ⁺

Lesson 3199 of 4,500 · Main-Group and Transition-Metal Chemistry

Learning objectives

Introduction

Many dissolved metal salts acidify water even when their anions are spectators. The cause is not a free metal ion directly ejecting H⁺; water molecules bound to the metal become more acidic. A small, highly charged centre pulls electron density from ligand oxygen, weakening O–H proton attachment. The resulting hydrolysis connects Lewis acidity of the metal with Brønsted acidity of its aqua complex.

Core explanation

Represent a common octahedral hydrated ion as [M(H₂O)₆]ⁿ⁺. The water oxygens donate electron pairs to M, a Lewis-acid centre. For a trivalent ion, first deprotonation can be written [M(H₂O)₆]³⁺ + H₂O ⇌ [M(H₂O)₅(OH)]²⁺ + H₃O⁺. Charge balances: +3 on the left and +2 + +1 on the right. A second bound-water ligand may deprotonate at higher pH, and hydroxo bridges or hydroxide precipitates can form as hydrolysis proceeds.

Fe³⁺ and Al³⁺ are comparatively acidic hydrated ions because their high charge density strongly polarises bound water. Fe²⁺ and Mg²⁺ have lower charge density and are generally less acidic under comparable aqueous conditions. Na⁺ has low polarising power and does not appreciably acidify water through analogous hydrolysis. These are broad tendencies; actual pKa depends on metal identity, coordination, oxidation state, temperature and ionic strength.

The metal's Lewis acidity and the ligand's Brønsted acidity are sequential descriptions, not competing labels. Water first coordinates by donating a lone pair. The metal's electric field then pulls electron density toward oxygen and makes O–H bonds more polar. Another water molecule accepts H⁺, producing H₃O⁺. The deprotonated ligand remains bound as OH⁻ in the first hydrolysis product. If additional base is added, metal hydroxide may precipitate when its ion product exceeds Ksp.

This chemistry explains why adding a solution of AlCl₃ to water can give an acidic solution. Cl⁻ from a strong acid has little basicity; hydrated Al³⁺ is the major source of acid. It also explains why a hydroxide precipitate does not mean the original ion was a bare metal hydroxide. The precipitate may be formed only after the pH was raised and bound waters deprotonated.

Hydrolysis can be complicated by olation or oxolation, where two metal centres become linked by OH or O bridges. At sufficiently high concentrations or pH, polynuclear species may dominate over isolated [M(H₂O)₆]ⁿ⁺. An introductory single-ion equilibrium is a useful first step, but not a complete speciation model for every metal solution.

Step-by-step reasoning

1. Write the hydrated metal complex rather than a bare Mⁿ⁺ symbol. 2. Compare metal charge and radius to estimate polarisation of O–H bonds. 3. Remove one proton from a bound water and add it to solvent water. 4. Balance the hydrolysis equation's charge and atoms. 5. Consider further deprotonation, bridging and precipitation if pH rises.

Visual explanation

Draw a central M³⁺ surrounded by six water oxygens. Highlight one O–H bond and an arrow from its H to an external water molecule. On the product side show one bound OH and H₃O⁺. Compare a smaller M³⁺ centre with a large M⁺ centre by the degree of O–H polarisation.

Real-world analogy

A strong central magnet pulls part of a connected object toward itself, loosening the far end. A high-charge metal pulls electron density through water's oxygen, making its attached hydrogen easier for another water molecule to remove.

Real-world example

Aluminium salts used in water treatment can hydrolyse extensively as pH is adjusted, forming hydroxo and hydroxide species that help coagulate suspended particles. The operating pH matters because the metal's dissolved and precipitated forms change with proton release.

Why?

Why does Fe³⁺ acidify water more strongly than a comparable Fe²⁺ ion? Its higher positive charge pulls electron density more strongly from coordinated water, increasing the tendency of a ligand O–H group to lose a proton.

Common misconception

“The chloride in FeCl₃ makes the solution acidic” is not the main explanation for a simple FeCl₃ aqueous solution. Hydrated Fe³⁺ hydrolyses and produces H₃O⁺; chloride is largely a spectator under this comparison.

Worked example

Write first hydrolysis for [Al(H₂O)₆]³⁺. It transfers one ligand proton to solvent water: [Al(H₂O)₆]³⁺ + H₂O ⇌ [Al(H₂O)₅(OH)]²⁺ + H₃O⁺. The product complex has one hydroxo ligand and a charge reduced from +3 to +2. This explains why AlCl₃ solution can be acidic without requiring HCl to be present as a starting acid.

Quick check

1. Which is generally more acidic at equal conditions, [Fe(H₂O)₆]³⁺ or [Fe(H₂O)₆]²⁺? Answer: The Fe³⁺ complex, because the higher-charge metal polarises coordinated O–H bonds more strongly.

Exam focus

Show water as both ligand and proton-accepting solvent in the equation. State metal charge density as the trend basis, then qualify for actual speciation. Balance charges explicitly and avoid saying a bare metal ion “contains H⁺.”

Advanced insight

Stepwise hydrolysis constants can be coupled to metal-hydroxide solubility and polynuclear complex formation. At higher pH, a measured titration curve may reflect several overlapping equilibria rather than one clean pKa. Spectroscopy and speciation calculations can distinguish the dominant hydroxo species.

Summary

Metal ions hydrate by accepting water lone pairs. High charge density makes bound water acidic, allowing proton transfer to solvent and formation of hydroxo complexes. Further hydrolysis and precipitation depend on pH and concentration.

Practice questions

1. What is the conjugate base of [M(H₂O)₆]³⁺ after one proton is lost? Answer: [M(H₂O)₅(OH)]²⁺. 2. Why is Na⁺ usually not a major acid source in its aqueous salts? Answer: Its low charge density weakly polarises bound water and gives negligible analogous hydrolysis. 3. What happens when base is added far beyond the first hydrolysis stage? Answer: Further deprotonation, hydroxo bridging or metal-hydroxide precipitation can occur, depending on the ion and conditions.