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How do we quantify the position of an equilibrium?

The equilibrium constants Kc and Kp, writing and evaluating expressions, units, the effect of changing conditions, and the role of a catalyst.

A focused answer to WJEC A-Level Chemistry Unit 3, covering the equilibrium constants Kc and Kp, writing expressions and determining units, calculating values from equilibrium amounts, and how temperature, pressure and catalysts affect them.

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What this dot point is asking

WJEC wants you to write KcK_c and KpK_p expressions, determine their units, calculate values from equilibrium amounts, and explain how temperature, pressure and a catalyst affect both the position of equilibrium and the value of the constant.

The answer

The equilibrium constants

Units

Calculating Kc

What changes the constant

Only temperature changes the value of KcK_c or KpK_p. Changing concentration or pressure shifts the position of equilibrium but the constant stays the same. A catalyst changes neither the position nor the value; it only speeds attainment.

Position versus value of the constant

A frequent source of confusion is the difference between shifting the position of equilibrium and changing the value of the constant. Changing concentration or pressure shifts the position (more or less product forms) but the system returns to the same KcK_c or KpK_p, so the constant is unchanged. Only temperature changes the value, because it alters the balance of the forward and reverse rates differently. For an exothermic forward reaction, raising the temperature shifts the position toward reactants and lowers KK; for an endothermic one, raising the temperature raises KK.

Partial pressures for Kp

To use KpK_p, first find the mole fraction of each gas (its moles divided by the total moles of gas), then multiply by the total pressure to get its partial pressure. Substituting these partial pressures into the KpK_p expression and working out the units (powers of Pa) gives the constant. This mole-fraction route is the standard method for gas-phase equilibrium calculations, and care with the total number of gas moles is where most marks are lost.

Examples in context

The Contact process. Sulfur dioxide oxidation to sulfur trioxide is run at a moderate temperature to keep KpK_p favourable (the forward reaction is exothermic) while a vanadium(V) oxide catalyst secures a workable rate. The Haber process. A compromise temperature balances a higher KpK_p at low temperature against an acceptable rate, the classic industrial equilibrium optimisation.

Try this

Q1. Write the KcK_c expression for N2+3H2β‡Œ2NH3\text{N}_2 + 3\text{H}_2 \rightleftharpoons 2\text{NH}_3. [1 mark]

  • Cue. Kc=[NH3]2[N2][H2]3K_c = \dfrac{[\text{NH}_3]^2}{[\text{N}_2][\text{H}_2]^3}.

Q2. State which single factor changes the value of KcK_c. [1 mark]

  • Cue. Temperature.

Q3. State the units of KcK_c for H2+I2β‡Œ2HI\text{H}_2 + \text{I}_2 \rightleftharpoons 2\text{HI}. [1 mark]

  • Cue. No units (equal moles of gas on both sides).

Q4. State the effect of increasing pressure on the value of KpK_p. [1 mark]

  • Cue. No effect; pressure shifts the position but does not change KpK_p.

Q5. State how you find the partial pressure of a gas in a mixture. [1 mark]

  • Cue. Multiply its mole fraction by the total pressure.

Exam-style practice questions

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

WJEC 20195 marksFor the equilibrium H2(g)+I2(g)β‡Œ2HI(g)\text{H}_2(\text{g}) + \text{I}_2(\text{g}) \rightleftharpoons 2\text{HI}(\text{g}), 1.00 mol of H2\text{H}_2 and 1.00 mol of I2\text{I}_2 were mixed in a 1.00Β dm31.00\ \text{dm}^3 vessel. At equilibrium 1.56 mol of HI\text{HI} had formed. Calculate KcK_c.
Show worked answer β†’

Set up an ICE table. Initial: H2=1.00\text{H}_2 = 1.00, I2=1.00\text{I}_2 = 1.00, HI=0\text{HI} = 0.

Change: 1.561.56 mol HI forms, and the ratio is 1:1:21:1:2, so 0.780.78 mol each of H2\text{H}_2 and I2\text{I}_2 are used.

Equilibrium: H2=1.00βˆ’0.78=0.22\text{H}_2 = 1.00 - 0.78 = 0.22 mol, I2=0.22\text{I}_2 = 0.22 mol, HI=1.56\text{HI} = 1.56 mol. Volume is 1.001.00 dm3, so these are also concentrations.

Kc=[HI]2[H2][I2]=1.5620.22Γ—0.22=2.430.0484=50.3K_c = \dfrac{[\text{HI}]^2}{[\text{H}_2][\text{I}_2]} = \dfrac{1.56^2}{0.22 \times 0.22} = \dfrac{2.43}{0.0484} = 50.3 (no units, as the powers cancel).

Markers reward the ICE table, correct equilibrium amounts, the expression, and a value with no units.

WJEC 20213 marksState and explain the effect of increasing the temperature on the value of Kc for an exothermic forward reaction.
Show worked answer β†’

For an exothermic forward reaction, raising the temperature shifts the equilibrium in the endothermic (reverse) direction by Le Chatelier's principle.

This reduces the amount of product and increases the amount of reactant at equilibrium.

Because KcK_c depends on these equilibrium concentrations, KcK_c decreases as temperature rises.

Markers reward the shift toward reactants, and the conclusion that KcK_c decreases (temperature is the only factor that changes KcK_c).

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