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Series editors' preface - Wood Tools

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constant (k) (at standard temperature and<br />

pressure) is defined by the following formula<br />

(the [ ] brackets indicate concentration):<br />

k = [C 2+ 2– a ] [CO3<br />

]<br />

<br />

[ CaCO<br />

]<br />

3<br />

If the reaction is taken to move in the dissolution<br />

direction only (i.e. CaCO3 → Ca2+ +<br />

2– CO3 ) then the k from the initial reaction<br />

becomes ksp, the solubility product (the<br />

concentration of calcium and carbonate ions is<br />

divided by 1 because the starting point is a<br />

one molar solution):<br />

ksp = [Ca2+ 2– ][ CO3 ]<br />

<br />

1<br />

The k sp number is often very small. For calcium<br />

carbonate, for example, the k sp is 2.810 –9 . For<br />

convenience, the negative log of the k sp is<br />

often used (pK sp). For calcium carbonate, the<br />

pK sp is 8.54. The practical importance of this<br />

number is that the bigger the pK sp, the more<br />

insoluble any given salt is in water. In other<br />

words, the bigger the pK sp, the more stable a<br />

salt is in water and the more difficult it will be<br />

to remove. Sources such as Dean (1992)<br />

provide tables that list solubility products for a<br />

large number of salts. The solubility products<br />

of some salts that may be encountered in furniture<br />

conservation are listed in Table 11.9.<br />

Table 11.9 The solubility products of some salts<br />

that may be encountered in furniture conservation<br />

Substance Formula pK sp<br />

Barium sulphate BaSO 4 9.96<br />

Cadmium sulphide CdS 26.1<br />

Calcium carbonate CaCO 3 8.54<br />

Calcium sulphate CaSO 4 5.04<br />

Copper chloride CuCl 5.92<br />

Copper carbonate CuCO 3 9.86<br />

Copper hydroxide Cu(OH) 2 19.66<br />

Copper sulphide CuS 35.2<br />

Iron hydroxide Fe(OH) 2 15.1<br />

Iron trihydroxide Fe(OH) 3 37.4<br />

Lead carbonate PbCO 3 13.13<br />

Lead hydroxide Pb(OH) 2 14.93<br />

Lead sulphide PbS 27.9<br />

Magnesium carbonate MgCO 3 7.46<br />

Magnesium hydroxide Mg(OH) 2 10.74<br />

Silver sulphide Ag 2S 49.2<br />

Titanium trihydroxide Ti(OH) 3 40<br />

Zinc carbonate ZnCO 3 10.84<br />

Zinc hydroxide Zn(OH) 2 16.92<br />

Source: Dean (1992)<br />

Principles of cleaning 543<br />

The principle of the formation constant can<br />

also be extended to the formation of a bond<br />

between chelating agents and metals ions. The<br />

same sources that give tables of solubility<br />

products also tabulate the formation constants<br />

(log K f) for metal ions with chelating agents<br />

(which may also be called organic ligands).<br />

The log K f may also be referred to as log<br />

K M'L'(ML)'. These numbers are useful in the<br />

same way that solubility products are, in that<br />

the larger the log K f, the more stable the<br />

complex formed between chelator and metal<br />

ion. The formation constants of some chelators<br />

and metal ions are listed in Table 11.10.<br />

To predict whether a salt will be dissolved<br />

by a chelator, the log K f must be bigger than<br />

the pK sp. If the log K f is one integer (number)<br />

larger than the pK sp it is likely that the salt on<br />

a substrate will dissociate and the metal<br />

chelate complex will tend to form in solution.<br />

For example, EDTA will bind Ca +2 with a log<br />

K f of 11.0. If a solution of EDTA is brought to<br />

a surface that had calcium carbonate on it, the<br />

EDTA will bind calcium ions from the calcium<br />

carbonate (which has a pK sp of 8.54).<br />

However, Fe(OH) 3 iron trihydroxide has a pK sp<br />

of 37.4, whilst Fe(III) and EDTA has a log K f<br />

of 24.3. EDTA will not chelate Fe(III) from the<br />

iron trihydroxide salt.<br />

In the same way, the solubility product and<br />

formation constants can be used to predict<br />

whether a chelating agent will have an<br />

unwanted effect on the substrate. The solubility<br />

constants of materials in the substrate (e.g.<br />

CaSO 4 in a gesso ground, or pigments such as<br />

lead white Pb(OH) 2.PbCO 3) can be compared<br />

with formation constants of these materials<br />

with a given chelating agent.<br />

Effects of pH and conditional stability<br />

constants<br />

The formation constant indicates the preference<br />

for formation of the reaction product (or<br />

complex) from the ionic species. This calculation<br />

does not take into account the affect of<br />

pH on the ionic species present. Chelation is<br />

an equilibrium reaction and is influenced by<br />

the presence of hydrogen and hydroxyl ions.<br />

In aqueous cleaning solutions where acidic or<br />

basic ligands are involved, chelation is pHdependent.<br />

There is usually an upper pH limit<br />

for the effectiveness of a chelator and metal<br />

ions. Because chelators are pH-sensitive, a

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