Phase diagrams of m ixtures of compounds

1. Phase diagrams of mixtures of compounds Components (compounds): Molarity (mol/L): Molality (mol/kg): Mole fraction ():

2. Phase diagrams of mixtures of compounds Gibbs Phase Rule # independent intensive variables: } # phases in mutual equilibrium: all components in each phase: Furthermore T,P for all phase:

3. Phase diagrams of mixtures of compounds Gibbs Phase Rule Furthermore T,P for all phase: Equilibrium condition: }

4. } unary phase diagram C = 1 F = 2 P = 1 Gibbs phase rule F = C – P + 2 F: # degrees of freedom C: # components P: # phases

5. } unary phase diagram C = 1 F = 1 P = 2 Gibbs phase rule F = C – P + 2

6. } unary phase diagram C = 1 F = 0 P = 3 Gibbs phase rule F = C – P + 2

7. } unary phase diagram C = 1 F = -1 P = 4 Gibbs phase rule F = C – P + 2

8. Phase diagrams of binarysystems } C = 2 F = 3 P = 1 Gibbs phase rule F = C – P + 2

9. Phase diagrams of binarysystems } C = 2 F = 3 P = 1 Gibbs phase rule F = C – P + 2 Composition xA

10. Phase diagrams of binarysystems } C = 2 F = 3 P = 1 Pressure Gibbs phase rule F = C – P + 2 1 Temp. Composition xA

11. 3 allowed 1 2 Phase diagrams of binarysystems } C = 2 F = 3 P = 1 Pressure Gibbs phase rule F = C – P + 2 Temp. Composition xA

13. C = 2 Partial molar volume A A

14. Partial molar quantities A A

15. Partial molar quantities (SG page 11-13) binary solution: A A G is a state function for any state function

16. Partial molar quantities A A

17. C = 2 Partial molar volume Gibbs-Duhem equation for any state function

18. Thermodynamics of mixing perfect gases/liquids

19. Thermodynamics of mixing liquids Ideal mixing (Raoult)

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

21. Thermodynamics of non-ideal mixing { Non-ideal mixing (Excess functions)

22. C = 2 Temperature-composition diagrams GE >> 0 vapour GE = 0 liquid Non-ideal solutions GE << 0 GE < 0

23. C = 2 Temperature-composition diagrams GE >> 0 Non-ideal solutions vapour GE = 0 liquid GE < 0 GE << 0