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Lesson 2 of 6Chemical Systems and Equilibrium
Unit 4 · Lesson 2 of 6

Le Chatelier's Principle and the Reaction Quotient

Using the reaction quotient Q to predict which way a system will shift, and Le Chatelier's principle to explain how concentration, pressure, temperature and catalysts affect an equilibrium, from the Haber process to the buffering of blood.

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Key things to remember

  1. 1Reaction quotient Q has the same form as K but uses current concentrations.
  2. 2: shifts right (toward products). : shifts left (toward reactants). : at equilibrium.
  3. 3Le Chatelier's principle: a system at equilibrium shifts to partly counteract any change imposed on it.
  4. 4Decreasing volume shifts a gas equilibrium toward fewer moles of gas; a catalyst or an inert gas at constant volume causes no shift.
  5. 5Only temperature changes K: raising temperature lowers K for an exothermic reaction and raises K for an endothermic one.

An equilibrium is balanced, but it is not stuck. Add more of a reactant, squeeze the container, or heat it, and the concentrations start changing again until a new equilibrium is reached. Chemists who make ammonia or sulfuric acid on an industrial scale deliberately choose conditions that push these equilibria toward the product they want. In this lesson you will learn two tools for predicting the direction of the shift: a calculation (the reaction quotient, Q) and a principle (Le Chatelier's).

The Reaction Quotient, Q

The reaction quotient has exactly the same form as the equilibrium constant expression, but you substitute the concentrations the system has right now, which may not be equilibrium values. Comparing Q with K tells you which way the reaction must run to reach equilibrium.

ComparisonWhat it meansShift
Too few products compared with equilibriumForward reaction is favoured: shifts right
Already at equilibriumNo shift
Too many products compared with equilibriumReverse reaction is favoured: shifts left
Q moves toward K. A small Q must grow, so products form; a large Q must shrink, so reactants form.

Le Chatelier's Principle

Le Chatelier's principle states that when a system at equilibrium is disturbed by a change in conditions (a stress), the system shifts in the direction that partly counteracts that change. It never fully undoes the stress, but it moves to reduce it. Every prediction below can also be justified with Q, which is what makes the principle more than a rule of thumb.

N₂(g) + 3 H₂(g) ⇌ 2 NH₃(g) ΔH = −92 kJexothermic forward reaction, so heat counts as a product · 4 mol gas on the left, 2 mol on the rightAdd N₂ (a reactant)Q drops below KN₂ + 3H₂2NH₃Shifts rightmore NH₃ forms; K unchangedRemove NH₃ (a product)also makes Q < KN₂ + 3H₂2NH₃Shifts rightmore NH₃ forms; K unchangedIncrease pressureby shrinking the volumeN₂ + 3H₂2NH₃Shifts rightfewer gas moles; K unchangedRaise temperatureheat is a product (ΔH < 0)N₂ + 3H₂2NH₃Shifts leftNH₃ decomposes; K decreasesLower temperatureremoves heat, a productN₂ + 3H₂2NH₃Shifts rightmore NH₃ forms; K increasesAdd a catalystspeeds both directionsN₂ + 3H₂2NH₃No shiftreached faster; K unchangedOnly a change in temperature changes the value of K.Concentration and pressure changes move Q away from K; a catalyst changes neither Q nor K.
Fig 1Common stresses and the direction the equilibrium shifts to relieve each one.
  • Adding a reactant or removing a product: Q becomes smaller than K, so the system shifts right, using up some of the added reactant.
  • Adding a product or removing a reactant: Q becomes larger than K, so the system shifts left.
  • Decreasing volume (increasing pressure) of a gas mixture: the system shifts toward the side with fewer moles of gas, which lowers the pressure. If both sides have the same number of moles of gas, there is no shift.
  • Increasing volume (decreasing pressure): shifts toward the side with more moles of gas.
  • Adding an inert gas at constant volume: no shift, because the concentrations (and partial pressures) of the reacting gases do not change.
  • Adding a catalyst: no shift. A catalyst speeds up the forward and reverse reactions equally, so equilibrium is reached sooner but at the same position.
  • Adding a pure solid or liquid: no shift, because it does not appear in Q or K.
Why only temperature changes K
Concentration and pressure changes alter Q, and the system shifts until Q equals the same K again. Temperature is different. Treat heat as a reactant or product: for an exothermic reaction (negative ), heat is a product, so raising the temperature shifts the equilibrium left and K decreases. For an endothermic reaction (positive ), heat is a reactant, so raising the temperature shifts right and K increases. Because the equilibrium ratio itself changes, a new value of K applies at the new temperature.

You can see the temperature effect with the system from the last lesson. The forward reaction is endothermic, so warming a sealed tube shifts it right and the gas turns a darker brown; cooling it in ice water shifts it left and the colour fades. Another classroom example is the cobalt(II) chloride equilibrium: [\text{Co{(H}_2\text{O)}}_6]^{2+} (pink) (blue) . Adding chloride ions or heating (the forward reaction is endothermic) turns the solution blue.

The Haber Process

Ammonia synthesis: exothermic, and 4 moles of gas become 2.

Ammonia is made industrially for fertilizers by the Haber process. Le Chatelier's principle explains the conditions. High pressure (typically around 200 atm) favours the right side, which has fewer moles of gas. The reaction is exothermic, so a low temperature would give a larger K and more ammonia at equilibrium, but it would also make the reaction far too slow. Plants compromise with a moderate temperature of roughly 400 to 450 °C and an iron-based catalyst, which gets the mixture to equilibrium quickly without changing K. Ammonia is also continuously removed by cooling it into a liquid, and the unreacted nitrogen and hydrogen are recycled, so the system keeps shifting right.

Equilibrium in your blood
In healthy adults, blood pH is typically kept between about 7.35 and 7.45. One of the main buffer systems involves carbon dioxide and hydrogen carbonate: If acid (extra ) enters the blood, the equilibrium shifts left, using up and forming , which the lungs breathe out. If is removed, the equilibrium shifts right to replace it. This is Le Chatelier's principle keeping pH in a narrow range. (This is general chemistry, not medical advice.)
Loading interactive…
Add or remove a species, change the volume or the temperature, and watch Q compared with K predict the shift.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
For , at a certain temperature. A flask contains , and . Is it at equilibrium? If not, which way will it shift?
Example 2
An equilibrium mixture of has and (). Extra is injected so that jumps to . Find the new equilibrium concentrations.
Example 3
Predict the effect of each change on : (a) the volume is halved, (b) the temperature is raised, (c) a catalyst is added.

Where marks get lost

  • Reversing the Q rule: when the reaction shifts right (toward products), not left.
  • Saying a catalyst increases the yield at equilibrium. It only makes the system reach equilibrium faster.
  • Claiming that adding more reactant changes K. Only a temperature change alters K; concentration changes alter Q.
  • Counting all moles, including solids and liquids, when predicting a pressure change. Only moles of gas matter.
  • Assuming a shift completely undoes a stress. The system only partly counteracts it, so an added reactant stays higher than its original value.

Flashcards 8

Reaction quotient, Q
Le Chatelier's principle
+ 4 more

Practice

1
For . A mixture has , and . What happens?
2
For a mixture has , and . Calculate Q to 3 significant figures.
3
Which change will shift to the right?
4
For an endothermic reaction at equilibrium, what happens to K when the temperature is increased?
5
In the Haber process, why is a moderate temperature (roughly 400 to 450 °C) used instead of a low temperature, even though the reaction is exothermic?
6
Put the steps for predicting a shift with the reaction quotient in order.
  1. 1Substitute the current concentrations to get Q
  2. 2Conclude the direction of the shift
  3. 3Compare Q with K
  4. 4Write the expression from the balanced equation
7
Match each stress on (forward reaction exothermic) to its effect.
Add
Raise the temperature
Add a catalyst
Increase the volume
8
A sealed tube of is placed in hot water. The forward reaction is endothermic. Does the brown colour of get darker or lighter?
9
What happens to the value of K when a catalyst is added to a system at equilibrium? (one or two words)

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