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Chemical Equilibrium

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Chemical Equilibrium

Activity

The effective concentration of a species, corrected for non-ideal interactions with its surroundings.

a = γ c / c° Dimensionless
Chemical Equilibrium

Activity Coefficient

The factor by which a species' concentration must be multiplied to give its thermodynamic activity.

γ = a / c Dimensionless
Chemical Equilibrium

Approach to Equilibrium

The time-dependent process by which a reacting system moves towards its equilibrium composition.

s
Chemical Equilibrium

Association Constant

The equilibrium constant for the combination of two species into a single associated entity, the reciprocal of the dissociation constant.

Ka = 1 / Kd L/mol
Chemical Equilibrium

Chemical Equilibrium

The state of a reversible reaction in which the forward and reverse reactions proceed at equal rates, so no net change in composition…

aA + bB ⇌ cC + dD Dimensionless
Chemical Equilibrium

Combining Equilibrium Constants

The rule that when two reactions are added, their equilibrium constants multiply.

K_overall = K₁ × K₂ Various
Chemical Equilibrium

Common Ion Effect

The suppression of the ionisation or dissolution of a substance by adding a second substance that supplies one of the same ions.

mol/L
Chemical Equilibrium

Complex Ion Equilibrium

The equilibrium between a metal ion, its ligands and the resulting complex ion in solution.

M + nL ⇌ MLₙ mol/L
Chemical Equilibrium

Concentration Equilibrium Constant

The equilibrium constant expressed in terms of the molar concentrations of the species involved.

Kc = [C]^c[D]^d / [A]^a[B]^b Various
Chemical Equilibrium

Coupled Equilibria

Two or more equilibria that share a common species, so that shifting one necessarily shifts the others.

Dimensionless
Chemical Equilibrium

Debye–Hückel Limiting Law

The theoretical relation predicting activity coefficients of ions in very dilute solution from their charge and the ionic strength.

log γ = −A z² √I Dimensionless
Chemical Equilibrium

Degree of Dissociation

The fraction of the original substance that has broken apart at equilibrium.

α = amount dissociated / initial amount Dimensionless
Chemical Equilibrium

Dissociation Constant

The equilibrium constant for the breaking apart of a compound or complex into smaller species.

Kd = [A][B] / [AB] mol/L
Chemical Equilibrium

Distribution Law

The principle that a solute distributes itself between two immiscible solvents in a constant ratio at fixed temperature.

K_D = C_organic / C_aqueous Dimensionless
Chemical Equilibrium

Dynamic Equilibrium

An equilibrium in which opposing processes continue at the molecular level but at equal and opposite rates.

rate_forward = rate_reverse Dimensionless
Chemical Equilibrium

Effect of a Catalyst on Equilibrium

A catalyst changes how quickly equilibrium is reached but never where that equilibrium lies.

K unchanged Dimensionless
Chemical Equilibrium

Effect of an Inert Gas

The influence of adding a non-reacting gas on the position of a gaseous equilibrium.

Pa
Chemical Equilibrium

Effect of Concentration Change

The shift in equilibrium position caused by adding or removing a reactant or product.

Q ≠ K → shift until Q = K mol/L
Chemical Equilibrium

Effect of Pressure Change

The shift in a gaseous equilibrium caused by changing the total pressure through a volume change.

shift towards fewer gas moles when p rises Pa
Chemical Equilibrium

Effect of Temperature Change

The shift in equilibrium caused by heating or cooling, which uniquely also changes the equilibrium constant.

exothermic: K falls as T rises K
Chemical Equilibrium

Equilibrium Constant

The fixed ratio of product to reactant terms, each raised to its stoichiometric power, that characterises a reaction at a given temperature.

K = Π[products]^ν / Π[reactants]^ν Various
Chemical Equilibrium

Equilibrium Constant of a Reversed Reaction

The constant obtained when a reaction is written in the opposite direction, equal to the reciprocal of the original.

K_reverse = 1 / K_forward Various
Chemical Equilibrium

Equilibrium Constant of a Scaled Reaction

The constant obtained when every coefficient in an equation is multiplied by the same factor.

K_new = K_old^n Various
Chemical Equilibrium

Equilibrium in Closed Systems

The requirement that no matter enters or leaves for a true chemical equilibrium to be established.

Dimensionless