Full chapter
Chemical Equilibria
Explain a changing equilibrium through competing rates, then calculate composition and justify industrial choices.
A-Level 9476 (2026-2027)
Equal rates give constant composition, not equal amounts
A closed system can keep reacting in both directions with no net change.
A reversible reaction can proceed in both directions under appropriate conditions. In a closed system initially containing reactants, the forward reaction forms products. As products accumulate, the reverse reaction becomes possible and its rate increases. Dynamic equilibrium is reached when the forward and reverse rates are equal, so macroscopic properties such as concentration and colour remain constant.
- Initially
Forward rate is large relative to reverse rate; A decreases and B increases.
- As composition changes
The forward and reverse rates approach one another. Their dependence on concentration comes from their mechanisms.
- At dynamic equilibrium
Forward rate = reverse rate, both usually nonzero. Amounts remain constant but need not be equal.
A closed system prevents material loss; it need not be thermally insulated. Constant temperature is needed when discussing one fixed equilibrium constant. The same equilibrium composition can be approached from either side if the overall amounts, temperature and volume or pressure constraints are the same.
Check your understandingA sealed equilibrium mixture keeps the same colour for an hour. Does that prove the reactions have stopped?Think it through, then reveal the answer
A disturbed equilibrium responds against the imposed change
Name the actual change first, then the direction that partially opposes it.
Le Chatelier's Principle: when a system at equilibrium is disturbed, its position changes in the direction that tends to oppose that disturbance. The response usually offsets only part of the imposed change. Adding a reactant does not mean that all of the added material disappears.
| Disturbance | Equilibrium response | Reason |
|---|---|---|
| Add H2 at fixed volume and temperature | Shift towards NH3. | Consume some of the added reactant. |
| Remove NH3 | Shift towards NH3. | Replace some of the removed product. |
| Reduce volume at fixed temperature | Shift towards NH3. | There are fewer gas moles on the product side: two rather than four. |
| Raise temperature | Shift towards N2 and H2. | The endothermic reverse direction absorbs some added energy. |
Compression affects a gaseous equilibrium through the changed partial pressures. If both sides have the same total gaseous coefficient, as in H2(g) + I2(g) ⇌ 2HI(g), compression does not shift the ideal-gas equilibrium position. Pure solids and liquids are not counted as gaseous particles.
Adding an inert gas at constant volume and temperature raises total pressure but leaves each reacting gas partial pressure unchanged, so it causes no shift in the ideal-gas model. At constant total pressure, adding inert gas expands the mixture and lowers reacting partial pressures; the side with more gas moles is then favoured. State the constraint rather than using total pressure alone.
Worked example
Interpret colour after a temperature change
N2O4(g) ⇌ 2NO2(g) has an endothermic forward direction. N2O4 is colourless and NO2 is brown. What does warming a sealed sample favour?
- Heating favours the endothermic direction, which absorbs energy.
- More NO2 is present at the new equilibrium.
- At a controlled optical path length and with the volume constraint specified, increased NO2 concentration gives a darker brown colour.
Warming favours dissociation to NO2. For a rigid sealed vessel, the equilibrium colour becomes darker.
On a concentration-time graph, adding a species produces an immediate jump in its concentration, followed by a gradual reaction-driven adjustment. A volume decrease immediately increases all gaseous concentrations before any shift occurs. Distinguish that instantaneous physical change from the subsequent change in composition.
Temperature changes the constant; other disturbances change the route back to it
For a fixed written reaction, K is fixed at a specified temperature.
| Change | Can the equilibrium composition change? | Does K change? |
|---|---|---|
| Concentration or reacting-gas pressure | Yes, when the change disturbs the equilibrium ratio. | No, at constant temperature. |
| Temperature | Usually yes. | Yes. Heating increases K for an endothermic forward reaction and decreases K for an exothermic forward reaction. |
| Catalyst | No change to the final equilibrium composition at the same temperature. | No. Both directions approach equilibrium faster. |
| Amount of a pure solid already present | Not merely from adding more of the same solid phase, provided relevant phases remain present. | No, at constant temperature. |
A catalyst changes kinetics through an alternative mechanism. It does not alter the thermodynamic free-energy difference between the reactants and products and therefore does not change K. An industrial catalyst may allow a different operating temperature; it is that temperature change, not the catalyst itself, that can alter the equilibrium yield.
Check your understandingCompression increases the equilibrium amount of ammonia. Has Kp increased?Think it through, then reveal the answer
Build K from the written equation and equilibrium quantities
Products go above reactants; stoichiometric coefficients become powers.
For aA + bB ⇌ cC + dD, the concentration expression is Kc = [C]c[D]d / ([A]a[B]b), using equilibrium concentrations. Kp uses equilibrium partial pressures of gaseous species in the same pattern. Pure solids and pure liquids are omitted because their activities are constant; a dissolved species is not omitted merely because it is in a liquid solution.
| Reaction | Expression |
|---|---|
| H2(g) + I2(g) ⇌ 2HI(g) | Kc = [HI]2 / ([H2][I2]); Kp = p(HI)2 / (p(H2)p(I2)). |
| N2(g) + 3H2(g) ⇌ 2NH3(g) | Kc = [NH3]2 / ([N2][H2]3); Kp = p(NH3)2 / (p(N2)p(H2)3). |
| CaCO3(s) ⇌ CaO(s) + CO2(g) | Kp = p(CO2), with both pure solid phases present. |
| CH3COOH(aq) + C2H5OH(aq) ⇌ CH3COOC2H5(aq) + H2O(l) | In a dilute aqueous treatment, water as the solvent is incorporated into the constant; retain the dissolved reacting species. Read the stated medium. |
In conventional examination expressions, derive any units from the concentration or pressure powers and use one consistent pressure unit. For N2O4(g) ⇌ 2NO2(g), the concentration expression has units mol dm-3 and a pressure expression in kPa has units kPa. The numerical pressure-based value changes if the pressure unit changes, so report the unit used.
Worked example
Find Kp from a gas mixture
At equilibrium, a mixture contains 0.0200 mol N2O4 and 0.0400 mol NO2 at total pressure 150 kPa. Calculate Kp for N2O4 ⇌ 2NO2.
- Total gas amount = 0.0600 mol.
- p(N2O4) = (0.0200/0.0600)(150) = 50.0 kPa; p(NO2) = 100 kPa.
- Kp = p(NO2)2 / p(N2O4) = 1002/50.0.
Kp = 200 kPa for the stated pressure convention and temperature.
Reversing a reaction takes the reciprocal of K; multiplying all coefficients by a factor raises K to that power. A large K favours products relative to reactants in its expression, but gives no direct information about the speed of reaching equilibrium. The relationship converting Kp into Kc is not required in this syllabus.
Use stoichiometry to complete the equilibrium row
Amounts change in the coefficient ratio before they are converted to concentration or partial pressure.
Worked example
Calculate Kc from an observed equilibrium amount
A 1.00 dm3 vessel initially contains 0.100 mol H2 and 0.100 mol I2, with no HI. At equilibrium, it contains 0.160 mol HI. Find Kc for H2 + I2 ⇌ 2HI.
- Forming 0.160 mol HI consumes 0.0800 mol H2 and 0.0800 mol I2.
- Equilibrium amounts are 0.0200, 0.0200 and 0.160 mol respectively.
- Divide each amount by 1.00 dm3 to obtain the equilibrium concentrations.
- Kc = 0.1602/(0.0200 × 0.0200).
Kc = 64.0, with no net concentration unit for this expression.
| Stage | H2 / mol | I2 / mol | HI / mol |
|---|---|---|---|
| Initial | 0.100 | 0.100 | 0 |
| Change | -x | -x | +2x |
| Equilibrium | 0.100 - x | 0.100 - x | 2x |
Worked example
Find the equilibrium composition from K
For the same initial amounts in 1.00 dm3, suppose Kc = 64.0 is supplied instead. Calculate the equilibrium amounts without solving a quadratic.
- Substitute the equilibrium expressions: 64 = (2x)2/(0.100 - x)2.
- Concentrations are positive, so take the positive square root: 8 = 2x/(0.100 - x).
- 8(0.100 - x) = 2x; hence x = 0.0800 mol.
- Substitute back and check that no amount is negative.
H2 = I2 = 0.0200 mol and HI = 0.160 mol. Substitution into K verifies the result.
A useful table is not a substitute for checking the chemistry. Include any initial product, account for unequal coefficients, and use the actual equilibrium volume. When gaseous mole number changes, total pressure cannot be split using initial mole fractions. The required syllabus calculations do not need quadratic-equation solutions.
A useful ammonia process needs both yield and speed
The operating conditions are an economic compromise supported by equilibrium and kinetics.
N2(g) + 3H2(g) ⇌ 2NH3(g) is exothermic, with ΔH about -92 kJ for the equation as written. Lower temperature favours the equilibrium amount of ammonia; higher pressure favours the side with fewer gaseous particles. Neither statement alone specifies the best operating plant.
| Choice | Benefit | Compromise or limit |
|---|---|---|
| Moderately high temperature | Gives a useful rate for breaking and rearranging strong bonds. | A higher temperature lowers the equilibrium ammonia yield; a very low temperature is too slow. |
| High pressure | Favours two product gas moles over four reactant gas moles and increases collision frequency. | Compression and pressure-resistant equipment have costs; unlimited pressure is not economical. |
| Iron catalyst | Provides a lower-barrier surface mechanism, allowing a useful rate. | Does not change K or the equilibrium yield at a fixed temperature. |
| Cool the outlet mixture | Condense and remove ammonia. | Unreacted nitrogen and hydrogen are separated from the liquid product and recycled. |
- Feed nitrogen and hydrogen
Use an appropriate 1:3 stoichiometric supply and pass the gases over the catalyst under controlled conditions.
- Allow partial conversion
Each pass gives a mixture limited by both equilibrium and residence time.
- Condense ammonia and recycle gases
Removing product and returning unreacted gases increases total resource use efficiency without claiming complete conversion in one pass.
The quoted conditions are representative, not a universal specification for every plant. In a data question, compare the actual equilibrium-yield curve, reaction-rate information, energy use and equipment constraints supplied. Keep the explanations separate: temperature affects both K and rate; a catalyst affects rate; recycling improves overall conversion.
Quick revision
Revisit the essentials, then return to an explanation when you need it.
Dynamic equilibrium means equal forward and reverse rates. A concentration or pressure disturbance can change composition while K stays fixed. Only temperature changes K for the same written reaction; a catalyst speeds approach without changing the endpoint.
Write K from the balanced equation, use equilibrium values and respect phases. Build an amount-change table before converting to concentrations or partial pressures. For Haber, explain yield, rate, compression cost and recycling as distinct considerations.
Scope and references
Learning outcomes and sources
9. Chemical Equilibria. Use the outcome map to find the explanation for a particular syllabus requirement.
See the learning outcome map
9(a) Explain reversibility and dynamic equilibrium through rates.
- Forward and reverse reactions
- Equal nonzero rates
- Constant but not necessarily equal amounts
- Closed system
9(b) Apply Le Chatelier Principle to disturbances.
- Concentration
- Pressure with stated constraints
- Temperature and reaction enthalpy
9(c) Distinguish changes in K from changes in composition.
- Concentration, pressure, temperature
- Catalyst
- Temperature dependence of K
Temperature changes the constant; other disturbances change the route back to it
9(d) Deduce concentration and partial-pressure expressions.
- Kc
- Kp
- Coefficients as powers and treatment of phases
- Kp-Kc relationship not required
Build K from the written equation and equilibrium quantities
9(e) Calculate Kc or Kp from equilibrium data.
- Equilibrium concentrations
- Equilibrium partial pressures
- Stoichiometry and units
Build K from the written equation and equilibrium quantitiesUse stoichiometry to complete the equilibrium row
9(f) Calculate quantities present at equilibrium.
- Initial/change/equilibrium amounts
- Given equilibrium constant and data
- No quadratic-equation solution required
9(g) Explain industrial Haber-process conditions.
- Equilibrium yield and reaction-rate compromise
- Pressure, temperature, catalyst
- Product removal and recycling
- SEAB H2 Chemistry 9476, examination 2026
Topic 9, printed page 21. All seven outcomes and the exclusions of Kp-Kc conversion and quadratic solutions inspected.