Equilibrium and Le Chatelier's Principle

Master equilibrium expressions, Kc and Kp, Q vs K, Le Chatelier's principle, and ICE tables for AP Chemistry.

# Equilibrium and Le Chatelier's Principle

AP Chemistry Unit 7 covers dynamic equilibrium, equilibrium expressions, calculations with ICE tables, and predicting shifts using Le Chatelier's principle and Q vs K analysis.


1. Equilibrium Expressions

Kc=[products]coefficients[reactants]coefficientsK_c = \frac{[\text{products}]^{\text{coefficients}}}{[\text{reactants}]^{\text{coefficients}}}

  • Gases and aqueous species included
  • Solids and pure liquids excluded
  • KK depends only on temperature

KpK_p for gases: use partial pressures. Kp=Kc(RT)ΔnK_p = K_c(RT)^{\Delta n} where Δn\Delta n = moles gas products − moles gas reactants.


2. Q vs K

Q=[products]n[reactants]m(at any point, not just equilibrium)Q = \frac{[\text{products}]^n}{[\text{reactants}]^m} \quad (\text{at any point, not just equilibrium})

Comparison Direction
Q<KQ < K Forward → (more products needed)
Q=KQ = K At equilibrium
Q>KQ > K Backward ← (more reactants needed)

3. ICE Tables

A B C
Initial known known 0
Change ax-ax bx-bx +cx+cx
Equilibrium I−ax I−bx cx

Substitute into K expression and solve for x.

Simplification: if KK is very small, assume xx \ll initial concentration.


4. Le Chatelier's Principle

Stress Response
Add reactant Shifts forward
Remove product Shifts forward
Increase T (exo forward) Shifts backward; K decreases
Increase T (endo forward) Shifts forward; K increases
Increase pressure Shifts toward fewer gas moles
Add catalyst No shift; K unchanged; equilibrium reached faster
Add inert gas (constant V) No effect

5. Practice Questions

    1. Write KK for: CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s) \rightleftharpoons \text{CaO}(s) + \text{CO}_2(g)
    1. At equilibrium: [N₂] = 0.50, [H₂] = 1.50, [NH₃] = 0.10. Calculate KcK_c for N2+3H22NH3\text{N}_2 + 3\text{H}_2 \rightleftharpoons 2\text{NH}_3.
    1. K=4.0K = 4.0. Initially [A] = 1.0, [B] = 0. Use ICE to find equilibrium concentrations for AB\text{A} \rightleftharpoons \text{B}.
    1. Q=5.0Q = 5.0, K=2.0K = 2.0. Which direction does the reaction shift?
    1. For an exothermic reaction, what happens to K when temperature increases?

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Summary

  • KK = products/reactants at equilibrium; only changes with temperature
  • Q<KQ < K → forward; Q>KQ > K → backward
  • ICE tables for equilibrium calculations
  • Le Chatelier: system opposes changes
  • Catalysts don't change K

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