The reactions of metal ions with water header image.


Hexaaqua ions

When transition metal ions with a 2+ or 3+ charge are dissolved in water the metal ions form octahedral complexes with the water molecules

When solid transition metal compounds containing a metal ion in the 2+ or 3+ oxidation states are dissolved in water, the water molecules can use one of their lone pairs of electrons to act as a Lewis base and a form coordinate bond with the metal ion, this results in the formation of complex ions which typically consist of octahedral complexes; as shown in the image opposite.

Many of the solutions containing these hexaaqua ions have vivid and striking colours, for example:

The colours of these three aqueous solutions are shown in the image opposite. The reaction in which hydrated ions, such as hexaaqua ions are formed involves the dissolution (this is simply the process when a solute dissolves in a solvent to form a solution) of one mole of gaseous ions inImage to show the green hexaaquairon(II), the pink hexaquacobalt(II) and the blue hexaauacopper(II) ions in solution water, and the associated enthalpy change is called the enthalpy of hydration. This enthalpy change contributes to overcoming the lattice enthalpy—the energy required to break apart the ionic lattice when a substance dissolves. Generally, if the enthalpy of hydration is larger than the lattice enthalpy, then the enthalpy of solution will be exothermic and more than likely it will be a thermodynamically favourable process. However, entropy changes can also play a significant role in determining the overall feasibility of dissolution or solution formation.


Hydration, solution and lattice enthalpies

The enthalpy of hydration and lattice enthalpy are connected through the enthalpy change of solution, as described by the following equation:

Δsolution = ΔHlattice + ΔHhydration

Where the lattice enthalpy (ΔHlattice) is:
The energy required to break one mole of a solid ionic lattice into its separate gaseous ions, this process will be obviously be an endothermic one since it involves bond breaking, that is it will require an input of energy, for example the lattice enthalpy or lattice dissociation enthalpy of the ionic compound sodium chloride (NaCl) can be shown by the equation:

NaCl(s) Na+(g) + Cl-(g)

And the hydration enthalpy (ΔHhydration) is:

The energy released when one mole of gaseous ions is surrounded by water molecules, forming hydrated ions, since this process involves the formation of bonds it will be an exothermic process, for example the enthalpies of hydration of sodium ions and chloride ions can be shown as:

Na+(g) + H2O(l) Na(aq)+
Cl-(g) + H2O(l)Cl(aq)-


While the enthalpy of solution (ΔHsolution) for sodium chloride is the energy change that occurs when one mole of a sodium chloride dissolves completely in water to form a solution under standard conditions, it is measured in kilojoules per mole (kJ/mol) and can be shown by the equation below:

Image to show the relationship between the enthalpy of solution, enthalpy of hydration and lattice enthalpy, factors which affect the solubility of ionic compounds
NaCl(s)Na+(aq) + Cl-(aq)

These as mentioned above these three enthalpy changes are linked by the equation below::
ΔHsolution = ΔHlattice + ΔHhydration

So we can say that if:

This equation above helps to explain why some ionic compounds dissolve easily in water, while others do not. The balance between the energy required to break down the ionic lattice and the energy released during hydration helps us in determining the solubility. If ΔHsolution is negative, that is dissolution is exothermic then it will likely be thermodynamically favourable, although the substance may still be soluble if ΔHsolution has a positive enthalpy value as long as there is an increase in entropy during the process which leads to a negative value for the Gibbs free energy change for solution e.g.


If the Gibbs free energy of solution is given by the equation:

ΔGsolution = ΔHsolution -TΔSsolution

So even if ΔHsolution has a positive value a large ΔSsolution can still result in ΔGsolution being less than 0 and so be a spontaneous process.

Hydrolysis or acidity reactions

Image shows how the central metal ion in an octahedral complex withdraws electron density from the attached water ligands When a transition metal ion forms a complex ion the small highly charged central metal ion will polarise or distort the electron density in the water molecules bonded to it, that is it will pull or withdraw electron density from the water ligands. The M-O bond will become polarised with the metal ion withdrawing electron density from the oxygen atom present in the water molecule. The larger the size of the charge on the central metal ion and the smaller its radius then the more it will be able to polarise and withdraw electron density towards it, this will weaken the O-H bond in the water ligand and make it easier for the loss of a hydrogen ion (H+) to occur, this is outlined in the image opposite; where the red arrows indicate the direction of electron flow towards the central metal ion, in this case a metal ion with an oxidation state of 3+.

The withdrawal of electron density from the already polar O-H bond in the water ligand allows for the loss of a hydrogen ion (H+), which obviously results in the formation of an acidic solution. Now it is important to realise that the hydrogen ion (H+) does not simply just "fall off" the water ligand, instead another water molecule will act as a Brønsted-Lowry base and remove one of the hydrogen ions (H+) to form a hydronium or hydroxonium ion (H3O+) We can represent this as using the equation below, here the complex ion contains a metal ion with a 3+ oxidation state:

[M(H2O)6]3+ + H2O [M(H2O)5(OH)]2+ + H3O+

The H3O+ ion is called the hydronium or hydroxonium ion and it is usually simply represented as H+ in many chemical equations, you can simplify the equation above to give:

[M(H2O)6]3+(aq)[M(H2O)5(OH)]2+(aq) + H+(aq)

However you should bear in mind that the hydrogen ion (H+) in the above equation is actually a hydronium ion (H30+) that forms when a water molecule acts as a base and removes a hydrogen ion (H+) from the [M(H2O)6]3+ complex as outlined in the image below:

Image to show how a H+ ion is removed by a water molecule from a hexaaqua complex, this is a hydrolysis or acidity reaction.

In this equilibrium reaction a water molecule bonded to the metal ion has been split or broken up into a hydrogen ion (H+) ion and a hydroxide ion (OH-) ion so for this reason the reaction is often referred to as a hydrolysis reaction but it is also commonly referred to as an acidity reaction because a hydronium ion (H3O+) is formed.

Now there are obviously six water ligands surrounding the central metal ion in a hexaaqua complex and so far we have only considered the loss of one hydrogen ion (H+) from one of the water ligands, however you can get the loss of additional hydrogen ions (H+) from the remaining water ligands:

Loss of a second and third hydrogen ion (H+) can be shown as:

[M(H2O)5(OH)]2+ + H2O [M(H2O)4(OH)2]+ + H3O+
Or we can simplify this:
[M(H2O)5(OH)]2+(aq) [M(H2O)4(OH)2]+(aq) + H+(aq)

Of course we could keep going with the loss of a third hydrogen ion (H+) to give:
[M(H2O)4(OH)2]+ + H2O [M(H2O)3(OH)3] + H3O+

This time however the complex which is formed has no overall charge, that is it is neutral and this ultimately means that there will be little hydration energy to overcome the lattice dissociation energy so this neutral complex will form as a solid precipitate. Many of these solid precipitates have very distinctive colours and they can be used to show the presence of a particular metal ion.

Concentration of ions present in the equilibrium mixture

So far we have seen three equations; shown below to show what forms when a metal ion in the 3+ oxidation state is dissolved in water and it can lose up to three hydrogen ions (H+) before a solid precipitate forms, now all of these species will be present in the equilibrium mixture formed but the concentration of each species present will depend on the concentration of the solution, with the [M(H2O)6]3+(aq) ion being the main ion present in the equilibrium mixture in dilute solutions, though the concentration of the other ions present will increase as the concentration of the complex increases or the pH is raised by the additional of a base. If the concentration is sufficiently high then a solid precipitate may be seen.

[M(H2O)6]3+(aq) + H2O (l)[M(H2O)5(OH)]2+(aq) + H3O+(aq)
[M(H2O)5(OH)]2+(aq) + H2O(l)[M(H2O)4(OH)2]+(aq) + H3O+(aq)
[M(H2O)4(OH)2]+(aq) + H2O(l)[M(H2O)3(OH)3](s) + H3O+(aq)

Equilibrium equations for a metal (II) ion

Hexaaqua complexes which contain metal ions with a 2+ oxidation state will only lose two hydrogen ions (H+) before a neutral precipitate forms, the two equations below are very similar to the ones above and show the loss of two hydrogen ions (H+) from an hexaaqua metal complex:

[M(H2O)6]2+(aq) + H2O(l) [M(H2O)5(OH)2]+(aq) + H3O+(aq)
[M(H2O)5(OH)2]+(aq) + H2O(l)[M(H2O)2(OH)2](s) + H3O+(aq)

Measuring the acidity of complex ions in aqueous solution

When hexaaqueous complexes undergo chemical reactions then there are really only two possibilities that can take place:

Images shows the bonds broken in a ligand excahnge or a hydrolysis (acidity) reaction involving metal complexe ions

For the moment let us consider the first hydrolysis reaction only that takes place in a hexaaqueous complex containing metal ions with oxidation states of 2+ and 3+, now we can represent the equilibrium reaction that takes in the solutions containing these complex ions as:

[M(H2O)6]2+ + H2O(l) [M(H2O)5(OH)]+ + H3O+
And for the metal ion with a 3+ oxidation state we have:
[M(H2O)6]3+ + H2O(l)[M(H2O)5(OH)]2+ + H3O+
Now both these solutions will be acidic due to the presence of a hydrogen ion (H+) or to be more precise the hydronium ion (H3O+), but which of these two solutions will be the most acidic?, that is which solution will have the greater concentration of hydrogen ions or hydronium ions? Based on what was mentioned above it would seem obvious that the complex containing the metal ion in the 3+ oxidation state should be the most acidic since this metal ion will have a larger size to charge ratio than the metal ion with an oxidation state of 2+, this means that the metal ion with the 3+ oxidation state will be able to polarise the M-O bond more and so reduce the electron density in the O-H bond and so weaken it more making it easier for this complex to lose a hydrogen ion (H+) and so making it more acidic.

We could use the acid dissociation constant Ka to gauge the difference in the acidity of the two solutions containing the metal ions with oxidation states of 2+ and 3+. The acid dissociation constant for example of the complex containing the metal ion in the 2+ oxidation state would be defined as: Expression and example on how to calculate the pH for solutions containing transition metals with an oxidation state of 2+

cartoon style image to show that solutions containing metal ions with a 3+ charge are more acidic than solutions which contain a metal ion with a 2+ charge Complexes which contain the metal (II) ions have typical values for the acid dissociation constant Ka of between 10-6 and 10-11 while complexes containing the metal (III) ions the value of Ka varies between 10-2 and 10-5. These very small values of Ka clearly indicate that the main species present in these two equilibrium reaction are the hexaaqua ions and that the position of equilibrium lies very much to the left hand side of the two equations above. These figures do however show that for complexes containing the metal (II) ions about 1 in 10, 000 of the hexaaqua ions undergoes hydrolysis while for the metal (III) complexes about 1 in 1000 undergoes hydrolysis, or we can say that solutions of metal (II) ions will have a pH of around 6 while solutions of complexes containing the metal (III) ions will have a pH of around 3. That is solutions containing metal (III) ions are about 1000 times more acidic than solutions containing a metal (II) ion.

Key Points


Practice questions

Check your understanding - Questions on hexaaqua complexes and hydrolysis or acidity reactions..

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