Gibbs Free Energy: The Criterion for Chemical Change A comprehensive look into chemical spontaneity and maximum useful work. Presenter: Your Name Course: Advanced Physical Chemistry / Chemical Thermodynamics Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 1
Review of Thermodynamics: The First Law ΔU = q + w Tracks energy, not spontaneity. Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 2
Review of Thermodynamics: The Second Law ΔS_universe = ΔS_system + ΔS_surroundings > 0 Spontaneous if >0. Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 3
The Inconvenience of ΔS_universe ΔS_surroundings = -ΔH_system / T Need system-only criterion. Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 4
Historical Context: Josiah Willard Gibbs Developed chemical potential & free energy. Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 5
Defining Gibbs Free Energy (G) G = H - TS Available energy for work. Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 6
Derivation of the ΔG Criterion ΔG = ΔH - TΔS Spontaneous if ΔG < 0. Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 7
Interpretation of ΔG Sign ΔG < 0: Spontaneous ΔG > 0: Non-spontaneous ΔG = 0: Equilibrium Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 8
Case 1: ΔH<0, ΔS<0 Spontaneous at low T Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 9
Case 2: ΔH>0, ΔS>0 Spontaneous at high T Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 10
Case 3: ΔH<0, ΔS>0 Spontaneous at all T Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 11
Case 4: ΔH>0, ΔS<0 Never spontaneous Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 12
Graphical ΔG vs T Plots for all four cases below Presenter: Your Name | Advanced Physical Chemistry / Chemical Thermodynamics 13