Equilibrium Constant (K)

Relates products and reactants at equilibrium

General Expression

For aA + bB ⇌ cC + dD:

Kc = ([C]^c [D]^d) / ([A]^a [B]^b)

Use activities/activities approximated by molar concentrations for dilute solutions. For gases, use partial pressures for Kp.

Relationship Kp and Kc

Kp = Kc (RT)^Δn

Δn = moles of gaseous products − moles of gaseous reactants

Example

Reaction: N2 + 3 H2 ⇌ 2 NH3; at equilibrium: [N2]=0.10 M, [H2]=0.30 M, [NH3]=0.20 M.

Kc = (0.20^2) / (0.10^1 × 0.30^3) = 0.04 / (0.10 × 0.027) ≈ 14.8

Answer: Kc ≈ 14.8

Common Mistakes

Including solids/liquids

Pure solids and liquids are omitted (activity = 1).

Wrong exponents

Exponents come from balanced equation stoichiometric coefficients.

FAQ

How does temperature affect K?

Use van't Hoff equation; endothermic reactions increase K with temperature.

Can K be less than 1?

Yes; small K indicates reactants favored at equilibrium.

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