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Dynamic Equilibrium Concept

State where forward and reverse reactions occur at equal rates

  • Concentrations of reactants and products remain constant
  • Reaction continues at molecular level (not stopped)
  • Can be approached from either direction

Equilibrium Constant Expression (K)

For reaction: aA+bBcC+dDaA + bB \rightleftharpoons cC + dD Keq=[C]c[D]d[A]a[B]bK_{eq} = \frac{[C]^c[D]^d}{[A]^a[B]^b}

Pure solids and pure liquids are NOT included in K expression.

Predicting Reaction Shift (Le Chatelier's Principle)

If stress applied to system at equilibrium, system shifts to relieve stress

Stresses and responses:

  • Add reactant -> shifts right (toward products)
  • Add product -> shifts left (toward reactants)
  • Increase pressure -> shifts toward fewer moles of gas
  • Increase temperature -> shifts toward endothermic direction

Kp And Kc Expressions

Kc: Based on concentrations Kp: Based on partial pressures

Kp=Kc(RT)ΔnK_p = K_c(RT)^{\Delta n} where Δn=moles gasproductsmoles gasreactants\Delta n = moles\ gas_{products} - moles\ gas_{reactants}

Magnitude Of K And Reaction Extent

K ValueMeaning
K >> 1Products favored; reaction proceeds nearly to completion
K << 1Reactants favored; little product formed
K ≈ 1Similar amounts of reactants and products

Ice Tables

Method for solving equilibrium problems:

ABC
Initial (I)GivenGiven0
Change (C)-x-x+x
Equilibrium (E)a-xb-xc+x

Q Vs K: Predicting Direction

Reaction quotient (Q): Same expression as K, but with current concentrations

ConditionMeaningDirection
Q < KToo many reactantsForward ( -> )
Q = KAt equilibriumNo shift
Q > KToo many productsReverse ( <- )

Effects Of Concentration, Pressure, Temperature

ChangeEffect on EquilibriumDirection
Add reactantIncreases forward rate-> products
Remove productDecreases reverse rate-> products
Increase P (decrease V)Favors fewer moles of gasToward side with fewer gas moles
Increase TFavors endothermic directionToward endothermic side
Add catalystIncreases both rates equallyNo position change (faster)

Ksp Expressions And Calculations

For dissolving: AxBy(s)xAn+(aq)+yBm(aq)A_xB_y(s) \rightleftharpoons xA^{n+}(aq) + yB^{m-}(aq) Ksp=[An+]x[Bm]yK_{sp} = [A^{n+}]^x[B^{m-}]^y

Solubility (s): Concentration of dissolved compound

  • Use Ksp and stoichiometry to find solubility

Common-ion Effect On Solubility

Common-ion effect: Solubility decreases when common ion already present

  • Shifts equilibrium toward solid (less dissolution)
  • Can be used for selective precipitation