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How do we quantify the position of an equilibrium with Kc and Kp, and what changes their value?

The equilibrium constants Kc and Kp, writing their expressions, calculating their values and units, and the effect of temperature, concentration, pressure and catalysts on the constant and the position of equilibrium.

An Eduqas A-Level Chemistry PI5.1 answer on the equilibrium constants Kc and Kp, writing and calculating their expressions and units, and the effect of changing conditions on K and on the position of equilibrium.

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  1. What this topic is asking
  2. Writing Kc and Kp
  3. Calculating Kc
  4. What changes the equilibrium constant
  5. Linking to Le Chatelier
  6. Examples in context
  7. Try this

What this topic is asking

Eduqas topic PI5.1 makes equilibrium quantitative through the equilibrium constants KcK_c (in terms of concentration) and KpK_p (in terms of partial pressure). You write their expressions, calculate their values and units, and explain how (and whether) changing temperature, concentration, pressure or adding a catalyst affects the constant and the position of equilibrium. It builds on the qualitative Le Chatelier treatment of topic C2.1.

Writing Kc and Kp

The units of KK are found by substituting the units of each term; they may cancel (as in the H2/I2/HI\text{H}_2/\text{I}_2/\text{HI} system) or leave a net unit.

Calculating Kc

What changes the equilibrium constant

Linking to Le Chatelier

The constant and Le Chatelier's principle are consistent: when you change a concentration, the system shifts so that the reaction quotient returns to KK. When you change temperature, KK itself changes, which is why temperature is the only factor that alters the constant.

Examples in context

Example 1. The Contact process. 2SO2+O22SO32\text{SO}_2 + \text{O}_2 \rightleftharpoons 2\text{SO}_3 is exothermic, so a low temperature gives a large KpK_p and high yield, but a moderate temperature and a vanadium(V) oxide catalyst are used to reach equilibrium fast enough, a yield-versus-rate compromise.

Example 2. Esterification equilibrium. Because KcK_c for esterification is only a few, the reaction does not go to completion; removing water (or using excess alcohol) shifts the position to improve the yield without changing KcK_c.

Try this

Q1. Write the KcK_c expression for N2(g)+3H2(g)2NH3(g)\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g}). [1 mark]

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

Q2. State the only factor that changes the value of the equilibrium constant, and explain why pressure does not. [2 marks]

  • Cue. Only temperature changes KK; changing pressure shifts the position of equilibrium so the reaction quotient returns to the same KK, leaving the constant unchanged.

Exam-style practice questions

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

Eduqas 20195 marksFor 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 contains 0.20 mol0.20\ \text{mol} H2\text{H}_2, 0.20 mol0.20\ \text{mol} I2\text{I}_2 and 1.60 mol1.60\ \text{mol} HI. (a) Write the expression for KcK_c. (b) Calculate its value and state the units.
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(a) Kc=[HI]2[H2][I2]K_c = \dfrac{[\text{HI}]^2}{[\text{H}_2][\text{I}_2]} (1).

(b) Concentrations (in a 1.00 dm31.00\ \text{dm}^3 vessel) are [H2]=0.20[\text{H}_2] = 0.20, [I2]=0.20[\text{I}_2] = 0.20, [HI]=1.60 mol dm3[\text{HI}] = 1.60\ \text{mol dm}^{-3}. Kc=(1.60)20.20×0.20=2.560.040=64K_c = \dfrac{(1.60)^2}{0.20 \times 0.20} = \dfrac{2.56}{0.040} = 64 (3). The units cancel, so KcK_c has no units (1).

Eduqas 20214 marksThe reaction 2SO2(g)+O2(g)2SO3(g)2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g}) is exothermic. (a) Write the expression for KpK_p. (b) State and explain the effect on the value of KpK_p of increasing the temperature.
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(a) Kp=p(SO3)2p(SO2)2×p(O2)K_p = \dfrac{p(\text{SO}_3)^2}{p(\text{SO}_2)^2 \times p(\text{O}_2)} (2).

(b) Increasing the temperature decreases KpK_p (1). The forward reaction is exothermic, so raising the temperature shifts the equilibrium in the endothermic (backward) direction, lowering the proportion of products and so decreasing the equilibrium constant (1).

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