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Where does a reversible reaction settle, and how can we shift it?

Dynamic equilibrium, Le Chatelier's principle, the effects of concentration, pressure, temperature and catalysts on the position of equilibrium, and the meaning of the equilibrium constant Kc.

An Edexcel 9CH0 Topic 10 answer covering dynamic equilibrium, Le Chatelier's principle, the effects of changing conditions, and the equilibrium constant Kc with worked calculations.

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What this topic is asking

Edexcel Topic 10 wants you to explain what a dynamic equilibrium is, apply Le Chatelier's principle to predict how changing conditions shifts the position of equilibrium, and write and use the equilibrium constant KcK_c. You must be able to deduce the direction of a shift, state whether KcK_c changes, and calculate KcK_c from equilibrium amounts including its correct units.

The answer

Dynamic equilibrium

The two key words are "closed" (nothing enters or leaves) and "dynamic" (the reactions never stop, they just balance). For H2(g)+I2(g)2HI(g)\text{H}_2(\text{g}) + \text{I}_2(\text{g}) \rightleftharpoons 2\text{HI}(\text{g}), once equilibrium is reached the amount of each gas is fixed, but individual molecules are constantly forming and decomposing.

Le Chatelier's principle

  • Concentration. Increasing a reactant shifts the position towards products; removing a product also drives the reaction forward.
  • Pressure (gases only). Increasing total pressure shifts towards the side with fewer gas moles. If both sides have equal moles, pressure has no effect on position.
  • Temperature. Increasing temperature shifts in the endothermic direction. For an exothermic forward reaction, heating reduces the yield of products.
  • Catalyst. A catalyst speeds up the forward and reverse reactions equally, so equilibrium is reached faster but the position and KcK_c are unchanged.

The equilibrium constant Kc

For the general reaction aA+bBcC+dDa\text{A} + b\text{B} \rightleftharpoons c\text{C} + d\text{D}:

A large KcK_c (Kc1K_c \gg 1) means products are favoured at equilibrium; a small KcK_c (Kc1K_c \ll 1) means reactants dominate. Only a change of temperature changes the value of KcK_c. Concentration, pressure and catalysts alter the position of equilibrium but leave KcK_c unchanged, because the system re-adjusts until the same ratio is restored.

The units of KcK_c depend on the equation. Work out the overall power: (sum of product powers) minus (sum of reactant powers), and attach that many factors of mol dm3\text{mol dm}^{-3}. For the Haber process N2+3H22NH3\text{N}_2 + 3\text{H}_2 \rightleftharpoons 2\text{NH}_3, the power is 2(1+3)=22 - (1 + 3) = -2, so units are mol2dm6\text{mol}^{-2}\,\text{dm}^{6}.

Examples in context

Example 1. The Haber process. Ammonia is made by N2(g)+3H2(g)2NH3(g)\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g}), exothermic forward. A low temperature would favour a high yield (the forward reaction is exothermic) but would be far too slow, so industry compromises at about 450 C450\ ^\circ\text{C} with an iron catalyst. High pressure (around 200 atm200\ \text{atm}) shifts the position towards ammonia because the product side has fewer gas moles (22 versus 44). Removing ammonia by liquefaction keeps pulling the position to the right.

Example 2. The Contact process. Sulfur trioxide is made by 2SO2(g)+O2(g)2SO3(g)2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g}), exothermic forward. A moderate temperature of about 450 C450\ ^\circ\text{C} and a vanadium(V) oxide catalyst give a fast reaction with a high equilibrium yield. Pressure is kept only slightly above atmospheric because the position already lies well to the right, illustrating that conditions are chosen for the best balance of rate, yield and cost.

Try this

Q1. State Le Chatelier's principle. [2 marks]

  • Cue. If a system at equilibrium is subjected to a change, the position of equilibrium shifts to oppose that change.

Q2. For N2+3H22NH3\text{N}_2 + 3\text{H}_2 \rightleftharpoons 2\text{NH}_3 (exothermic forward), predict and explain the effect of increasing temperature on the yield of ammonia. [2 marks]

  • Cue. Yield falls; the equilibrium shifts in the endothermic (reverse) direction to oppose the rise in temperature, and KcK_c decreases.

Q3. 0.50 mol0.50\ \text{mol} of ethanoic acid and 0.50 mol0.50\ \text{mol} of ethanol reach equilibrium with 0.33 mol0.33\ \text{mol} of ester in a fixed volume VV. Write the KcK_c expression and show that KcK_c is dimensionless. [3 marks]

  • Cue. Kc=[ester][H2O][acid][alcohol]K_c = \frac{[\text{ester}][\text{H}_2\text{O}]}{[\text{acid}][\text{alcohol}]}; the VV terms and powers cancel (22=02 - 2 = 0), so KcK_c has no units.

Exam-style practice questions

Practice questions written in the style of Pearson Edexcel exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

Edexcel 20194 marksFor the equilibrium N2O4(g)2NO2(g)\text{N}_2\text{O}_4(\text{g}) \rightleftharpoons 2\text{NO}_2(\text{g}), which is endothermic in the forward direction, explain the effect on the position of equilibrium and on KcK_c of (a) increasing the temperature and (b) increasing the total pressure.
Show worked answer →

Award marks for linking each change to Le Chatelier's principle and to KcK_c.

(a) Increasing temperature shifts the position to the right (1) because the system opposes the rise by absorbing heat in the endothermic forward direction (1). Because temperature is the only factor that changes KcK_c, KcK_c increases (1).

(b) Increasing total pressure shifts the position to the left (1) because that side has fewer gas moles (1 mol versus 2 mol), so the system reduces the pressure. KcK_c is unchanged because pressure does not alter KcK_c (1).

Common loss of marks: stating that pressure changes KcK_c, or failing to give the gas mole count that justifies the direction.

Edexcel 20215 marksHydrogen and iodine were mixed and allowed to reach equilibrium at constant temperature: H2(g)+I2(g)2HI(g)\text{H}_2(\text{g}) + \text{I}_2(\text{g}) \rightleftharpoons 2\text{HI}(\text{g}). At equilibrium a 1.00 dm31.00\ \text{dm}^3 vessel contained 0.020 mol0.020\ \text{mol} H2\text{H}_2, 0.020 mol0.020\ \text{mol} I2\text{I}_2 and 0.160 mol0.160\ \text{mol} HI\text{HI}. Calculate KcK_c and state its units.
Show worked answer →

Write the KcK_c expression, substitute equilibrium concentrations, and evaluate.

Expression: Kc=[HI]2[H2][I2]K_c = \dfrac{[\text{HI}]^2}{[\text{H}_2][\text{I}_2]} (1).

Concentrations (volume =1.00 dm3= 1.00\ \text{dm}^3): [HI]=0.160[\text{HI}] = 0.160, [H2]=0.020[\text{H}_2] = 0.020, [I2]=0.020 mol dm3[\text{I}_2] = 0.020\ \text{mol dm}^{-3} (1).

Substitute: Kc=(0.160)2(0.020)(0.020)=0.02560.0004=64K_c = \dfrac{(0.160)^2}{(0.020)(0.020)} = \dfrac{0.0256}{0.0004} = 64 (2).

Units: the powers cancel (211=02 - 1 - 1 = 0), so KcK_c has no units (1).

Markers reward the correct expression, correct substitution, the value 6464, and the recognition that KcK_c is dimensionless here.

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