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Chemical equilibrium and Le Chatelier: TCE Chemistry (Tasmania)

Syllabus dot point

“Explain dynamic equilibrium, write equilibrium constant expressions, and predict shifts using Le Chatelier's principle.”

9 min read

Quick answer

A reversible reaction reaches dynamic equilibrium when the forward and reverse rates become equal, so concentrations stay constant while both reactions continue. Le Chatelier's principle says that if you disturb such a system it shifts in the direction that partly opposes the change. Concentration, pressure and temperature changes move the position of equilibrium, but only temperature changes the value of KcK_c.

What this dot point is asking

TASC expects you to describe equilibrium at the particle level, write and use the equilibrium constant expression, compare QQ with KcK_c, and predict shifts when a system is disturbed.

Dynamic equilibrium

A reversible reaction can proceed forwards and backwards. Early on the forward rate is high because reactant concentration is high. As products build up, the reverse rate rises. Eventually the two rates become equal and the concentrations of all species stop changing. This is dynamic equilibrium: both reactions still occur, but there is no net change. It is reached only in a closed system and can be approached from either direction.

The equilibrium constant

For aA+bB⇌cC+dDa\text{A} + b\text{B} \rightleftharpoons c\text{C} + d\text{D}:

Equilibrium constant

Kc=[C]c[D]d[A]a[B]bK_c = \frac{[\text{C}]^c[\text{D}]^d}{[\text{A}]^a[\text{B}]^b}

Concentrations are equilibrium values in mol L−1\text{mol L}^{-1}; pure solids and pure liquids are omitted. A large KcK_c favours products; a small KcK_c favours reactants. KcK_c depends only on temperature.

The reaction quotient Q

QQ has the same form as KcK_c but uses concentrations at any instant. Comparing QQ with KcK_c predicts the direction of net reaction:

  • Q<KcQ < K_c: too few products, so the forward reaction is favoured.
  • Q>KcQ > K_c: too many products, so the reverse reaction is favoured.
  • Q=KcQ = K_c: the system is at equilibrium.

Le Chatelier's principle

If a system at equilibrium is disturbed, it shifts to partly counteract the disturbance:

  • Concentration: adding a reactant (or removing a product) shifts the position right; removing a reactant shifts it left.
  • Pressure (gases): increasing pressure (decreasing volume) shifts towards the side with fewer gas moles; adding inert gas at constant volume has no effect because partial pressures of the reacting gases are unchanged.
  • Temperature: heating favours the endothermic direction. For an exothermic forward reaction (ΔH<0\Delta H < 0), heating shifts the system left and lowers KcK_c.
  • Catalyst: speeds up forward and reverse rates equally, so equilibrium is reached faster but the position and KcK_c are unchanged.
Predicting a shift in the Haber process

Identify the equilibrium and disturbances

For N2(g)+3H2(g)⇌2NH3(g)\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g), ΔH=−92 kJ mol−1\Delta H = -92\ \text{kJ mol}^{-1}. Predict the effect of (a) increasing pressure and (b) raising temperature on ammonia yield.

Apply the pressure rule

The reactant side has 4 mol4\ \text{mol} of gas, the product side has 2 mol2\ \text{mol}. Increasing pressure shifts the system towards fewer gas moles, that is to the right, so ammonia yield increases.

Apply the temperature rule

The forward reaction is exothermic, so raising temperature favours the endothermic (reverse) direction. The system shifts left, ammonia yield falls and KcK_c decreases. This is why industrial ammonia synthesis uses a compromise temperature, high enough for a workable rate but not so high that yield collapses.

Recognising equilibrium experimentally

You cannot see equilibrium directly, but several observations point to it. Macroscopic properties such as colour, pressure or pH become constant and stay constant in a closed system. The reaction can be approached from either direction and reaches the same final state for given conditions. A classic demonstration uses the brown gas NO2\text{NO}_2 in equilibrium with colourless N2O4\text{N}_2\text{O}_4: warming the tube deepens the brown colour (favouring the endothermic dissociation to NO2\text{NO}_2) and cooling lightens it, a visible Le Chatelier shift.

The industrial compromise

Real processes balance yield against rate and cost. The Haber process for ammonia is exothermic and goes from more to fewer gas moles, so high yield favours low temperature and high pressure. But a low temperature makes the rate impractically slow, so industry uses a moderate temperature (around 400 ∘C400\ ^\circ\text{C} to 450 ∘C450\ ^\circ\text{C}), a high pressure, an iron catalyst, and continuous removal of ammonia to keep shifting the position forward. This compromise sacrifices some equilibrium yield to achieve an economical rate, a pattern repeated across industrial chemistry.

Confusing rate and position

A catalyst and a temperature rise both make equilibrium arrive faster, but only temperature changes the equilibrium position and the value of KcK_c; a catalyst never changes yield. Adding an inert gas at constant volume does not shift the position, because the partial pressures of the reacting gases are unchanged. Also, QQ does not change at the instant temperature changes (concentrations have not yet moved), whereas KcK_c does.

When you answer a Le Chatelier question, always state the change, the direction of the shift, and the effect on the named species or on KcK_c. Markers reward that three-part structure.

Exam-style questions

Questions in the style of TASC exam questions on this dot point, each with a worked answer. They are written by ExamExplained unless tagged "Past paper"; the year shows the paper a question is modelled on.

Practice10 marks
Nitrogen monoxide, oxygen and nitrogen dioxide reach equilibrium: 2NO(g)+O2(g)⇌2NO2(g)2\text{NO}(g) + \text{O}_2(g) \rightleftharpoons 2\text{NO}_2(g), ΔH=−114 kJ\Delta H = -114\ \text{kJ}. (a) For an increase in temperature and, separately, for removal of NO2\text{NO}_2, state the effect on the initial reaction quotient QQ, on KcK_c and on the amount of NO\text{NO}. (b) State and explain the conditions of temperature and pressure that give the highest yield of NO2\text{NO}_2.
Show worked answer →

(a) Increase in temperature: QQ is unchanged at the instant of the change (concentrations have not yet altered); KcK_c decreases (the forward reaction is exothermic, so heating favours the reverse reaction); the amount of NO\text{NO} increases as the system shifts back towards reactants.

Removal of NO2\text{NO}_2: QQ decreases (removing product lowers the numerator); KcK_c is unchanged (KcK_c depends only on temperature); the amount of NO\text{NO} decreases as the forward reaction is favoured to replace the NO2\text{NO}_2. (6 marks for the completed table.)

(b) Use low temperature and high pressure. Low temperature favours the exothermic forward reaction; high pressure favours the side with fewer gas moles (forward goes from 3 mol3\ \text{mol} to 2 mol2\ \text{mol} of gas). Both increase the NO2\text{NO}_2 yield, though a higher temperature is needed in practice for an acceptable rate. (4 marks)

Practice2 marks
Methanol is produced by CO(g)+2H2(g)⇌CH3OH(g)\text{CO}(g) + 2\text{H}_2(g) \rightleftharpoons \text{CH}_3\text{OH}(g), ΔH=−91 kJ mol−1\Delta H = -91\ \text{kJ mol}^{-1}. Use Le Chatelier's principle to explain the advantage of using a higher pressure on the equilibrium yield of methanol.
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Increasing the pressure stresses the system, which responds by shifting in the direction that reduces the total number of gas molecules. (1 mark)

The reactant side has 3 mol3\ \text{mol} of gas (1 CO+2 H21\ \text{CO} + 2\ \text{H}_2) while the product side has only 1 mol1\ \text{mol} (CH3OH\text{CH}_3\text{OH}). To partly relieve the increased pressure the equilibrium shifts towards the side with fewer gas molecules, that is, towards the products, so a higher pressure increases the equilibrium yield of methanol. (1 mark)

Practice4 marks
Consider the equilibrium 2NOCl(g)⇌2NO(g)+Cl2(g)2\text{NOCl}(g) \rightleftharpoons 2\text{NO}(g) + \text{Cl}_2(g). (a) Predict which direction (forward or reverse) corresponds to greater entropy, and explain. (b) The equilibrium shifts to the right as temperature increases; deduce whether the forward reaction is exothermic or endothermic and justify.
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(a) The forward reaction increases the number of gas molecules from 2 mol2\ \text{mol} to 3 mol3\ \text{mol}, increasing the positional (configurational) entropy of the system, so the forward direction has greater entropy. (2 marks)

(b) The equilibrium shifts right (forward) as temperature rises. By Le Chatelier's principle, raising temperature favours the endothermic direction, so the forward reaction is endothermic (ΔH>0\Delta H > 0); this is consistent with the bond-breaking of the N−Cl\text{N}-\text{Cl} bonds in NOCl\text{NOCl}. (2 marks)

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