Unit 9 · Applications of Thermodynamics
Lesson 84 of 91

9.3 Gibbs Free Energy & Favorability

01ΔG = ΔH − TΔS

ΔG < 0 → thermodynamically favorable. The four sign cases: −ΔH/+ΔS always favorable; +ΔH/−ΔS never; −ΔH/−ΔS favorable at low T; +ΔH/+ΔS favorable at high T.

Crossover temperature: T = ΔH/ΔS.

02Notebook box

ΔG° = Σ ΔG°f(products) − Σ ΔG°f(reactants) also works.

Worked example: ΔH = +50 kJ, ΔS = +0.200 kJ/K → favorable above T = 250 K.

Key takeaways
  • ✦Negative ΔG = favorable.
  • ✦Four sign cases.
  • ✦T = ΔH/ΔS crossover.
Quick check

Did it stick?

1.ΔH < 0, ΔS > 0. Favorable…

2.ΔH = −100 kJ, ΔS = −0.2 kJ/K. Favorable below…

3.ΔG > 0 means the process is…