Unit 9 · Applications of Thermodynamics
Lesson 86 of 91

9.5 Free Energy & Equilibrium

01ΔG° ↔ K

ΔG° = −RT ln K. Negative ΔG° → K > 1 (products favored). Positive ΔG° → K < 1.

ΔG° = 0 → K = 1. R = 8.314 J/(mol·K).

02Notebook box

ΔG = ΔG° + RT ln Q (moves toward zero at equilibrium).

Worked example: ΔG° = −5.7 kJ at 298 K → K = e^(5700/(8.314×298)) ≈ 10.

Key takeaways
  • ✦ΔG° < 0 ↔ K > 1.
  • ✦Use J with R = 8.314.
  • ✦At equilibrium ΔG = 0.
Watch outΔG° (standard) and ΔG (current) are different — only ΔG hits zero at equilibrium.
Quick check

Did it stick?

1.K = 0.01 means ΔG° is…

2.At equilibrium ΔG = ?

3.ΔG° = 0 means K = ?