Dissociation (chemistry)

Dissociation degree

The dissociation degree ${\displaystyle \alpha }$ is the fraction of original solute molecules that have dissociated. It is usually indicated by the Greek symbol α. More accurately, degree of dissociation refers to the amount of solute dissociated into ions or radicals per mole. In case of very strong acids and bases, degree of dissociation will be close to 1. Less powerful acids and bases will have lesser degree of dissociation. There is a simple relationship between this parameter and the van 't Hoff factor ${\displaystyle i}$. If the solute substance dissociates into ${\displaystyle n}$ ions, then

${\displaystyle i=1+\alpha (n-1)}$

For instance, for the following dissociation

${\displaystyle \text{KCl}\stackrel{-\rightharpoonup }{\leftharpoondown -}{\text{K}}^{+}+{\text{Cl}}^{-}}$

As ${\displaystyle n=2}$, we would have that ${\displaystyle i=1+\alpha }$.

Salts

The dissociation of salts by solvation in a solution, such as water, means the separation of the anions and cations. The salt can be recovered by evaporation of the solvent.

An electrolyte refers to a substance that contains free ions and can be used as an electrically conductive medium. Most of the solute does not dissociate in a weak electrolyte, whereas in a strong electrolyte a higher ratio of solute dissociates to form free ions.

A weak electrolyte is a substance whose solute exists in solution mostly in the form of molecules (which are said to be "undissociated"), with only a small fraction in the form of ions. Simply because a substance does not readily dissolve does not make it a weak electrolyte. Acetic acid (CH₃COOH) and ammonium (NH+4) are good examples. Acetic acid is extremely soluble in water, but most of the compound dissolves into molecules, rendering it a weak electrolyte. Weak bases and weak acids are generally weak electrolytes. In an aqueous solution there will be some CH₃COOH and some CH₃COO⁻ and H⁺.

A strong electrolyte is a solute that exists in solution completely or nearly completely as ions. Again, the strength of an electrolyte is defined as the percentage of solute that is ions, rather than molecules. The higher the percentage, the stronger the electrolyte. Thus, even if a substance is not very soluble, but does dissociate completely into ions, the substance is defined as a strong electrolyte. Similar logic applies to a weak electrolyte. Strong acids and bases are good examples, such as HCl and H₂SO₄. These will all exist as ions in an aqueous medium.

Gases

The degree of dissociation in gases is denoted by the symbol α, where α refers to the percentage of gas molecules which dissociate. Various relationships between K_p and α exist depending on the stoichiometry of the equation. The example of dinitrogen tetroxide (N₂O₄) dissociating to nitrogen dioxide (NO₂) will be taken. $${\displaystyle {\text{N}}_2^{}{\text{O}}_4^{}\stackrel{-\rightharpoonup }{\leftharpoondown -}2{\text{NO}}_2^{}}$$

If the initial concentration of dinitrogen tetroxide is 1 mole per litre, this will decrease by α at equilibrium giving, by stoichiometry, α moles of NO₂. The equilibrium constant (in terms of pressure) is given by the equation $${\displaystyle K_p=\frac{p({\text{NO}}_2^{}{)}^2}{p{\text{N}}_2^{}{\text{O}}_4^{}}}$$

where p represents the partial pressure. Hence, through the definition of partial pressure and using p_T to represent the total pressure and x to represent the mole fraction; $${\displaystyle K_p=\frac{p_T^2(x{\text{NO}}_2^{}{)}^2}{p_T\cdot x{\text{N}}_2^{}{\text{O}}_4^{}}=\frac{p_T(x{\text{NO}}_2^{}{)}^2}{x{\text{N}}_2^{}{\text{O}}_4^{}}}$$

The total number of moles at equilibrium is (1 − α) + 2α, which is equivalent to 1 + α. Thus, substituting the mole fractions with actual values in term of α and simplifying; $${\displaystyle K_p=\frac{p_T(4{\alpha }^2)}{(1+\alpha )(1-\alpha )}=\frac{p_T(4{\alpha }^2)}{1-{\alpha }^2}}$$

This equation is in accordance with Le Chatelier's principle. K_p will remain constant with temperature. The addition of pressure to the system will increase the value of p_T, so α must decrease to keep K_p constant. In fact, increasing the pressure of the equilibrium favours a shift to the left favouring the formation of dinitrogen tetroxide (as on this side of the equilibrium there is less pressure since pressure is proportional to number of moles) hence decreasing the extent of dissociation α.

Acids in aqueous solution

The reaction of an acid in water solvent is often described as a dissociation

${\displaystyle \text{HA}\stackrel{-\rightharpoonup }{\leftharpoondown -}{\text{H}}^{+}+{\text{A}}^{-}}$

where HA is a proton acid such as acetic acid, CH₃COOH. The double arrow means that this is an equilibrium process, with dissociation and recombination occurring at the same time. This implies that the acid dissociation constant

${\displaystyle K_{\text{a}}=\frac{[{\text{H}}^{+}][{\text{A}}^{-}]}{[\text{HA}]}}$

However a more explicit description is provided by the Brønsted–Lowry acid–base theory, which specifies that the proton H+ does not exist as such in solution but is instead accepted by (bonded to) a water molecule to form the hydronium ion H₃O⁺.

The reaction can therefore be written as

${\displaystyle \text{HA}+{\text{H}}_2^{}\text{O}\stackrel{-\rightharpoonup }{\leftharpoondown -}{\text{H}}_3^{}{\text{O}}^{+}+{\text{A}}^{-}}$

and better described as an ionization or formation of ions (for the case when HA has no net charge). The equilibrium constant is then

${\displaystyle K_{\text{a}}=\frac{[{\text{H}}_3^{}{\text{O}}^{+}][{\text{A}}^{-}]}{[\text{HA}]}}$

where ${\displaystyle [{\text{H}}_2^{}\text{O}]}$ is not included because in dilute solution the solvent is essentially a pure liquid with a thermodynamic activity of one.

K_a is variously named a dissociation constant, an acid ionization constant, an acidity constant or an ionization constant. It serves as an indicator of the acid strength: stronger acids have a higher K_a value (and a lower pK_a value).

Fragmentation

Fragmentation of a molecule can take place by a process of heterolysis or homolysis.

Receptors

Receptors are proteins that bind small ligands. The dissociation constant K_d is used as indicator of the affinity of the ligand to the receptor. The higher the affinity of the ligand for the receptor the lower the K_d value (and the higher the pK_d value).