Equilibrium brings together several important ideas in chemistry and shows how reversible processes behave under different conditions. The chapter connects concepts such as chemical equilibrium, ionic equilibrium, pH calculations, buffer solutions, and solubility, helping you understand how different reactions reach a balanced state and respond to external changes.
Knowing what Equilibrium includes before starting the chapter can make preparation more organized and focused. Understanding the major topics and how they are connected helps you build concepts step by step, identify which principles apply to different types of problems, and avoid mixing up similar formulas. A clear picture of the chapter also makes it easier to prepare for both conceptual questions and numerical problems.
Many physical and chemical processes occur in both forward and reverse directions. After a certain time, these opposing processes may proceed at equal rates, producing a state known as equilibrium. Although no visible change is observed, the reaction continues at the molecular level.
A reversible reaction can be represented as:
aA + bB ⇌ cC + dD
At equilibrium:
Rate of Forward Reaction = Rate of Backward Reaction
The concentrations of reactants and products become constant but are not necessarily equal.
According to the Law of Mass Action, the equilibrium constant for a reaction is:
Kc = [C]ᶜ[D]ᵈ / [A]ᵃ[B]ᵇ
where square brackets represent molar concentrations.
For gaseous reactions, the equilibrium constant may also be expressed in terms of partial pressures:
Kp = (PC)ᶜ(PD)ᵈ / (PA)ᵃ(PB)ᵇ
The relation between Kp and Kc is:
Kp = Kc(RT)Δn
where:
Δn = Total moles of gaseous products − Total moles of gaseous reactants
Important characteristics of the equilibrium constant:
Depends only on temperature.
Independent of initial concentrations.
Independent of catalysts.
A large value of K indicates product formation is favored.
A small value of K indicates reactants are favored.
The reaction quotient (Q) helps predict the direction of a reaction.
Q < K: Forward reaction proceeds.
Q > K: Backward reaction proceeds.
Q = K: System is at equilibrium.
The position of equilibrium can change when external conditions are altered. The effect of these changes is explained by Le Chatelier's principle.
Le Chatelier's principle states that when a system at equilibrium is disturbed, it adjusts itself to reduce the effect of that disturbance.
Increasing the concentration of a reactant shifts the equilibrium toward product formation.
Increasing the concentration of a product shifts the equilibrium toward reactant formation.
Pressure changes affect only gaseous equilibria.
Increasing pressure favors the side with fewer gaseous moles.
Decreasing pressure favors the side with more gaseous moles.
Temperature changes alter the value of the equilibrium constant.
For exothermic reactions:
Heat + Products ⇌ Reactants
Increasing temperature shifts the equilibrium toward reactants.
For endothermic reactions:
Reactants + Heat ⇌ Products
Increasing temperature shifts the equilibrium toward the products.
A catalyst increases the rate of both forward and backward reactions equally.
Does not change K.
Does not shift the equilibrium.
Only helps the system reach equilibrium faster.
Many JEE questions are based on predicting equilibrium shifts under different experimental conditions.
When electrolytes dissolve in water, they produce ions that participate in various equilibrium processes. Ionic equilibrium explains the behavior of acids, bases, and salts in aqueous solutions.
According to the Arrhenius concept:
Acids produce H⁺ ions in water.
Bases produce OH⁻ ions in water.
The Bronsted-Lowry concept defines:
Acid: Proton donor.
Base: Proton acceptor.
The ionization of water is represented as:
H₂O ⇌ H⁺ + OH⁻
Ionic product of water:
Kw = [H⁺][OH⁻]
At 25°C:
Kw = 1 × 10⁻¹⁴
Acid dissociation constant:
Ka = [H⁺][A⁻] / [HA]
Base dissociation constant:
Kb = [BH⁺][OH⁻] / [B]
For conjugate acid-base pairs:
Ka × Kb = Kw
Strong acids and bases ionize almost completely.
Weak acids and bases ionize only partially and establish equilibrium with their ions.
The degree of ionization depends on:
Nature of solute.
Concentration.
Temperature.
Common ion effect.
The concentration of hydrogen ions determines the acidic or basic nature of a solution. This chapter also explains how certain mixtures resist changes in pH.
The pH of a solution is defined as:
pH = -log[H⁺]
Similarly,
pOH = -log[OH⁻]
The relation between them is:
pH + pOH = 14
At 25°C:
pH = 7: Neutral solution
pH < 7: Acidic solution
pH > 7: Basic solution
A buffer solution resists changes in pH when small amounts of acid or base are added.
Types of buffers:
Acidic Buffer:
Weak acid + its salt.
Example: CH₃COOH and CH₃COONa.
Basic Buffer:
Weak base + its salt.
Example: NH₄OH and NH₄Cl.
The Henderson equation for acidic buffers is:
pH = pKa + log([Salt]/[Acid])
Salt hydrolysis occurs when ions from a salt react with water.
Depending on the nature of the parent acid and base, salts may produce:
Acidic solutions.
Basic solutions.
Neutral solutions.
These concepts are frequently tested through pH calculations.
The dissolution of sparingly soluble salts establishes another type of equilibrium between the solid and its dissolved ions.
For a salt:
AB ⇌ A⁺ + B⁻
The solubility product constant is:
Ksp = [A⁺][B⁻]
For a salt:
AxBy ⇌ xAʸ⁺ + yBˣ⁻
Ksp = [Aʸ⁺]ˣ[Bˣ⁻]ʸ
The value of Ksp depends only on temperature.
The solubility of a salt may decrease in the presence of a common ion.
This phenomenon is called the Common Ion Effect.
Applications include:
Selective precipitation.
Qualitative salt analysis.
Purification of compounds.
The ionic product (Qsp) helps determine whether precipitation will occur.
Qsp < Ksp: Unsaturated solution.
Qsp = Ksp: Saturated solution.
Qsp > Ksp: Precipitation occurs.
Questions involving Ksp and the common ion effect are among the most important numerical areas of this chapter.
Chemical and ionic equilibrium concepts are widely used in chemistry, biology, environmental science, and industrial processes.
Some important relationships from the chapter are:
Kp = Kc(RT)Δn
Kw = [H⁺][OH⁻]
pH = -log[H⁺]
pOH = -log[OH⁻]
pH + pOH = 14
Ka × Kb = Kw
Ksp = Product of ionic concentrations
The Equilibrium chapter also provides the conceptual foundation for:
Chemical Thermodynamics.
Electrochemistry.
Ionic Equilibrium numericals.
Coordination Chemistry.
Salt analysis.
A strong understanding of these topics makes many advanced chemistry chapters easier to study.