1. Phase diagrams and phase transitions of unary systems}
C = 1
F = 2
P = 1
Gibbs phase rule
F = C – P + 2
F: # degrees of freedom
C: # components
P: # phases

2. Phase diagrams and phase transitions of unary systems}
C = 1
F = 1
P = 2
Gibbs phase rule
F = C – P + 2

3. Phase diagrams and phase transitions of unary systems}
C = 1
F = 0
P = 3
Gibbs phase rule
F = C – P + 2

4. Phase diagrams and phase transitions of unary systems}
C = 1
F = -1
P = 4
Gibbs phase rule
F = C – P + 2

5. Phase diagrams and phase transitions of binary systems}
C = 2
F = 3
P = 1
Gibbs phase rule
F = C – P + 2

6. Phase diagrams and phase transitions of binary systems}
C = 2
F = 3
P = 1
Gibbs phase rule
F = C – P + 2
Composition xA

7. Phase diagrams and phase transitions of binary systems}
C = 2
F = 3
P = 1
Pressure
Gibbs phase rule
F = C – P + 2 1
Temp.
Composition xA

8. Phase diagrams and phase transitions of binary systems}
C = 2
F = 3
P = 1
Pressure
Gibbs phase rule 3
allowed 2 1
F = C – P + 2
Temp.
Composition xA

10. C = 2
Partial molar volume

11. Partial molar quantities

12. C = 2
Partial molar volume
Gibbs-Duhem
equation

13. Thermodynamics of mixing perfect gases/liquids

14. Thermodynamics of mixing liquids
Ideal mixing (Raoult)

15. Thermodynamics of mixing liquids
Non-ideal mixing
Ideal-dilute solutions: Henry constant K

17. Temperature-composition diagrams
GE >> 0
vapour
GE = 0
liquid
Non-ideal solutions
GE < 0
GE << 0

18. Temperature-composition diagrams
GE >> 0
Non-ideal solutions
vapour
GE = 0
liquid
GE < 0
GE << 0