IB Chemistry R2.3 R2.3.5
R2.3.5 HL

The Equilibrium Constant Kc

Writing Kc expressions, ICE tables, and the reaction quotient Q.

📘 IB Understanding

The equilibrium law describes how K can be determined from the stoichiometry of a reaction. The reaction quotient Q uses the same expression but with non-equilibrium concentrations to predict the direction of change.

The Kc Expression

For a general homogeneous reaction:

\[aA + bB \rightleftharpoons cC + dD\] \[K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b}\]

💡 Key Rules

  • Products on top, reactants on bottom
  • Coefficients become powers
  • Solids and pure liquids are omitted from the expression
  • Use square brackets [ ] for concentration (mol dm⁻³)
  • K has no units in the IB syllabus

What Does Kc Tell Us?

Value of KcPosition of EquilibriumInterpretation
\(K \gg 1\)Far to the rightProducts strongly favoured; reaction almost goes to completion
\(K \approx 1\)BalancedSignificant amounts of both reactants and products
\(K \ll 1\)Far to the leftReactants strongly favoured; reaction hardly proceeds

The Reaction Quotient Q

Q is calculated using the same expression as K, but with concentrations at any point in time (not necessarily at equilibrium).

Comparing Q and K

Comparing Q to K to predict reaction direction Q < K Reaction proceeds → RIGHT (more products formed) Q = K System is at EQUILIBRIUM (no net change) Q > K Reaction proceeds ← LEFT (more reactants formed)

Worked Example: ICE Table

Problem: 0.100 mol of ethyl ethanoate is added to 0.100 mol of water (total volume = 1 dm³). At equilibrium, 0.0654 mol of water remains. Calculate Kc.

\(\text{CH}_3\text{COOC}_2\text{H}_5 + \text{H}_2\text{O} \rightleftharpoons \text{CH}_3\text{COOH} + \text{C}_2\text{H}_5\text{OH}\)

EsterH₂OAcidAlcohol
I0.1000.10000
C−0.0346−0.0346+0.0346+0.0346
E0.06540.06540.03460.0346

\(K_c = \frac{(0.0346)(0.0346)}{(0.0654)(0.0654)} = \frac{0.001197}{0.004277} = \textbf{0.280}\)

📋 Exam Tips

  • Always use square brackets [ ] in K expressions — round brackets will lose marks
  • If K < 10⁻³, you can assume [reactant]initial ≈ [reactant]eqm to simplify (state this assumption!)
  • K is only affected by temperature — catalysts and concentration changes do not alter K
← R2.3.4 Le Chatelier'sR2.3.6 Kp