Gen Chem · Unit 4 · 4-6a
Dynamic Equilibrium & Le Chatelier

Reactions do not stop at completion. They settle into a frantic molecular stalemate.

Nearly half the nitrogen atoms in your body’s proteins were fixed from the atmosphere by the industrial Haber-Bosch process: N2(g) + 3 H2(g) ⇌ 2 NH3(g) + Heat. If chemical reactions only marched in one direction until reactants ran dry, synthesizing fertilizer would be trivial. But the moment ammonia molecules form, collisions between them break them back apart into nitrogen and hydrogen. In a closed vessel, the forward and reverse reactions inevitably meet at equal rates: dynamic equilibrium. To extract millions of tons of ammonia to feed humanity, chemical engineers must act like master puppeteers, continuously stressing the reaction with temperature, pressure, and product removal under Le Chatelier’s Principle.

Alignment
HS-PS1-6Refine the design of a chemical system by specifying a change in conditions that would produce increased amounts of products at equilibrium.
Objective
Model chemical equilibrium as a dynamic balance of opposing reaction rates (rf = rr ≠ 0). Apply Le Chatelier’s principle to predict and justify shifts caused by disturbances in concentration, temperature, and pressure.
Scope
Reversible reactions, macroscopic constancy vs. particulate dynamics, equilibrium constant (Keq), concentration shifts, exothermic/endothermic thermal shifts, and gas volume/pressure shifts.

Core Claims

  • Dynamic Equilibrium: In a closed system, a reversible reaction reaches dynamic equilibrium when the forward reaction rate equals the reverse reaction rate (rforward = rreverse ≠ 0).
  • Macroscopic vs. Particulate: At equilibrium, all observable concentrations and properties remain strictly constant over time, even though chemical reactions continue unceasingly at the molecular level.
  • Le Chatelier’s Principle: When an external stress (concentration, temperature, or pressure change) is applied to an equilibrium system, the system shifts in the direction that opposes and partially relieves that stress.
  • Concentration Levers: Adding reactant or removing product causes rforward > rreverse, driving the system to shift right (→) toward more products.
  • Temperature Levers: Treating heat as a product in exothermic reactions means heating shifts the system in reverse (←), reducing Keq, while cooling shifts forward (→).
  • Pressure Levers: Compressing gas volume increases pressure, driving the system toward whichever side has fewer total moles of gas.

Equal Rates, Constant Concentrations

Rates (r) Time → rf rr rf = rr Conc [M] Time → [Reactants] [Products] Constant

Retrieval Checklist

  • Define dynamic chemical equilibrium at both macroscopic and submicroscopic scales.
  • Predict the shift direction when reactant or product concentration is perturbed.
  • Explain the effect of temperature changes on exothermic vs. endothermic equilibria.
  • Explain why catalysts do not change equilibrium yields or concentrations.

Running on a molecular treadmill: The rate balance.

Imagine walking forward on an exercise treadmill. If you walk at 4.0 miles per hour while the belt moves backward at 4.0 miles per hour, your position in the room remains completely motionless. To a casual observer looking from across the room, nothing is changing. Yet your legs are pumping vigorously. If either you or the treadmill speed up, your position will immediately shift.

This is the essence of a reversible reaction at dynamic equilibrium:

Reaction Rate Time → Forward Rate (rf) Reverse Rate (rr) rf = rr (Equal!) Concentration [M] Time → [Reactants] [Products] Constant [Conc]
Figure 4-6a.1: The dual reality of chemical equilibrium. Left: Rates become equal (rf = rr). Right: Concentrations become constant, but rarely equal to each other.
The Two Sacred Equilibrium Invariants
  • Invariant 1: Rates are EQUAL, not zero. The forward and reverse reactions never cease. At every instant, products are being formed at the exact same velocity that products are breaking down into reactants.
  • Invariant 2: Concentrations are CONSTANT, but NOT necessarily equal. A system at equilibrium may contain 99% products and 1% reactants, or 50/50, or 1% products and 99% reactants. What defines equilibrium is that those concentrations have stopped changing over time.

Le Chatelier’s Principle: Nature’s chemical pushback.

Formulated by French chemist Henri Louis Le Chatelier in 1884, Le Chatelier’s Principle provides a predictive framework for how a system at equilibrium responds to changes in its surroundings:

Le Chatelier’s Principle (Formal Law)

If an external stress (a change in concentration, temperature, or pressure) is applied to a chemical system at equilibrium, the system will temporarily shift its reaction rates in the direction that counteracts and relieves the applied stress.

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1. Concentration Disturbances

Add Reactant: Flooding the system with reactants causes more collisions between reactant molecules, immediately increasing rforward > rreverse. The reaction shifts right (→) toward products.
Remove Product: Siphoning off product eliminates product collisions, drastically slowing rreverse. Because rforward > rreverse, the system continuously shifts right (→) to replace the missing product.

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2. Temperature Disturbances

To predict temperature shifts, treat Heat as a formal chemical participant:
• Exothermic: Reactants ⇌ Products + Heat. Adding heat (heating) shifts the reaction left (←) to consume thermal energy. Cooling shifts right (→).
• Endothermic: Reactants + Heat ⇌ Products. Heating shifts right (→); cooling shifts left (←).
Note: Temperature is the only stress that changes the numerical equilibrium constant (Keq)!

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3. Pressure & Volume Disturbances (Gases)

In reactions involving gases, compressing the vessel (decreasing volume) increases total pressure and particle density. The system counteracts this stress by shifting toward whichever side of the balanced equation has fewer total moles of gas.
In the Haber process: N2(g) + 3 H2(g) [4 moles] ⇌ 2 NH3(g) [2 moles]. Increasing pressure forcefully shifts the system right (→) toward the 2-mole side!

The Haber-Bosch Dilemma: Thermodynamics vs. Kinetics.

Consider the synthesis of ammonia that sustains global agriculture:

N2(g) + 3 H2(g) ⇌ 2 NH3(g) + 92.4 kJ   (ΔH = −92.4 kJ/mol)

Chemical engineers designing an industrial ammonia plant face a brutal engineering trade-off:

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Thermodynamics favors COLD

Because the reaction is exothermic, Le Chatelier’s principle dictates that lowering the temperature shifts equilibrium to the right, yielding over 90% ammonia at room temperature (25 °C). However, at 25 °C, the strong triple bond of N≡N (945 kJ/mol) cannot be broken: the reaction takes years to reach equilibrium!

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Kinetics requires HEAT & CATALYSTS

To make the reaction proceed at commercially viable speeds, engineers must heat the gases to ~450 °C and pass them over an iron (Fe) catalyst. But at 450 °C, Le Chatelier’s shift reduces equilibrium yield to a measly 15%! To overcome this, engineers crank the pressure to 200 atmospheres (shifting right toward 2 moles) and continuously cool and liquefy ammonia out of the gas stream, recycling unreacted N2 and H2 indefinitely.

Interactive Haber-Bosch Equilibrium Chamber

Take control of an industrial ammonia synthesis chamber. Manipulate temperature, pressure, reactant injection, and product removal to explore Le Chatelier’s shifts in real time.

🎯 Try This: Industrial Synthesis Missions
Mission 1: The Cold Kinetic Trap

Drop temperature to 200 °C. Thermodynamics favors forward synthesis (Keq soars), but molecular collisions crawl. Observe the rate drop.

Mission 2: Gas Mole Compression

Crank pressure to 350 atm. Compressing 4 gas moles (1 N2 + 3 H2) into 2 moles (2 NH3) forcefully drives equilibrium forward.

Mission 3: Continuous Liquefaction

Siphon off NH3 product. Eliminating product molecules collapses reverse rate (rr → 0), compelling reactants to continuously convert.

200 °C (High Yield, Slow) 650 °C (Low Yield, Fast)
50 atm (Expand) 200 atm (Industrial) 350 atm (Compress)
Reaction Chamber (Gas Phase) At Equilibrium (rf = rr)
N2 H2 NH3 Product
Concentration vs. Time Yield = 16.4% NH3
[N2]: 1.2 M [H2]: 3.6 M [NH3]: 0.9 M
EQUILIBRIUM CONSTANT (Keq)
0.042
FORWARD RATE (rf)
1.45 M/s
REVERSE RATE (rr)
1.45 M/s
NET SHIFT
Balanced

Fill the blanks from memory.

Stuck on one? Tap Reveal. The point is to pull it from your head, not recognize it on a page.

1. Chemical equilibrium is reached when the rate of the forward reaction equals the rate of the .
2. At dynamic equilibrium, the concentrations of reactants and products remain , even though molecular collisions continue in both directions.
3. According to Le Chatelier's principle, adding extra reactant stresses the system, causing it to shift .
4. Compressing a gaseous reaction mixture causes the equilibrium to shift toward the side with .
5. In an exothermic reaction where heat is a product, raising the temperature shifts equilibrium to the and decreases Keq.

Thermodynamics vs. Kinetics

Constructed Response Question

NGSS Practice Task · HS-PS1-6 · 4 Marks

Dinitrogen tetroxide (N2O4) and nitrogen dioxide (NO2) establish a dynamic equilibrium inside a sealed, transparent glass syringe according to the following equation:

N2O4(g) [colorless] + 57.2 kJ ⇌ 2 NO2(g) [dark brown]
A chemistry student conducts two separate experiments on this equilibrium mixture at 25 °C:

Experiment 1 (Thermal Stress): The sealed syringe is submerged in a beaker of ice water at 0 °C. Within two minutes, the dark brown gas inside the syringe turns almost completely colorless.

Experiment 2 (Pressure/Volume Stress): The syringe plunger is rapidly pushed inward, compressing the gas volume from 60 mL to 30 mL. The gas immediately flashes darker brown for one second, but over the next 15 seconds, the brown color gradually fades until the gas is noticeably lighter brown than it was initially.

(a) Using Le Chatelier’s principle and the thermochemical equation, explain at the particulate level why submerging the syringe in ice water in Experiment 1 causes the mixture to turn colorless. [1 mark]

(b) In Experiment 2, explain why the gas immediately flashed darker brown the instant the plunger was compressed. [1 mark]

(c) In Experiment 2, explain why the color faded over the subsequent 15 seconds. Relate your explanation to molecular collisions, moles of gas, and Le Chatelier’s principle. [2 marks]

Mark scheme: 4 marks
  • Part (a) Temperature Stress (Endothermic Reaction) [1 mark]:
    • Explains that the forward decomposition is endothermic (ΔH = +57.2 kJ/mol, heat is a reactant). Submerging in ice water removes thermal energy. Under Le Chatelier’s principle, the system shifts in the exothermic reverse direction (←) to release heat, converting dark brown NO2 into colorless N2O4. [1 mark]
  • Part (b) Immediate Transient Darkening [1 mark]:
    • Explains that halving the volume (60 mL → 30 mL) instantaneously doubles the concentration (particles per unit volume) of all molecules, including brown NO2, before any chemical reaction or shift has time to take place. [1 mark]
  • Part (c) Equilibrium Shift Over 15 Seconds [2 marks]:
    • Identifies the mole difference: The reactant side has 1 mole of gas (N2O4) while the product side has 2 moles of gas (NO2). [1 mark]
    • Explains that halving the volume increases total pressure. Under Le Chatelier’s principle, the system relieves this increased pressure by shifting toward the side with fewer gas moles (← reverse shift), causing NO2 molecules to collide and dimerize into colorless N2O4, which fades the brown color. [1 mark]

Self-score: 4 = flawless particulate justification for temperature shift, instantaneous concentration change, and gas mole pressure shift · 3 = minor omission in explaining the instantaneous flash vs. shift · 2 = parts (a) and (b) correct only · ≤1 = incomplete responses without particulate mechanics.

Why This Matters: Global Carbon Cycles & Ocean Acidification

Dynamic chemical equilibria govern Earth’s planetary thermostat. Atmospheric carbon dioxide is in dynamic equilibrium with dissolved CO2 in the surface oceans: CO2(g) ⇌ CO2(aq) ⇌ H2CO3(aq) ⇌ H+ + HCO3−. As human emissions elevate atmospheric CO2 partial pressure, Le Chatelier’s principle drives massive net dissolution of CO2 into seawater, shifting equilibrium forward and releasing billions of tons of H+ ions, causing ocean acidification that threatens marine coral calcification.