# Module Description

## Module: Phase Equilibria Thermodynamics

### Courses:

TitleTypeHrs/WeekPeriod
Phase Equilibria ThermodynamicsLecture2Summer Semester
Phase Equilibria ThermodynamicsRecitation Section (small)1Summer Semester
Phase Equilibria ThermodynamicsRecitation Section (large)1Summer Semester

### Module Responsibility:

Prof. Irina Smirnova

None

### Recommended Previous Knowledge:

Mathematics, Physical Chemistry, Thermodynamics I and II

### Educational Objectives:

#### Professional Competence

##### Theoretical Knowledge
• Starting from the very basics of thermodynamics, the students learn the mathematical tools to describe thermodynamic equilibria.
• They learn how state variables are influenced by the mixing of compounds and learn concepts to quantitatively describe these properties.
• Moreover, the students learn how phase equilibria can be described mathematically and which phenomena may occur if different phases (vapor, liquid, solid) coexist in equilibrium. Furthermore the fundamentals of reaction equilibria are taught.
• For different phase equilibria, several examples relevant for different kinds of processes are shown and the necessary knowledge for plotting and interpreting the equilibria are taught.
##### Capabilities
• Applying their knowledge, the students are able to identify the correct equation for the determination of the equilibrium state and know how to simplify these equations meaningfully.
• The students know models which can be used to determine the properties of the system in the equilibrium state and they are able to solve the resulting mathematical relations.
• For specific applications, they are able to self-reliantly find necessary physico-chemical properties of compounds as well as model parameters in literature sources.
• Beside pure compound properties the students are capable of describing the properties of mixtures.
• The students know how to visualize phase equilibria graphically and they know how to interpret the occurring phenomena.
• Based on their knowledge, the students are able to understand fundamental concepts that are the basis for many separation and reaction processes in chemical engineering.

#### Personal Competence

##### Social Competence

The students are able to work in small groups, to solve the corresponding problems and to present them oraly to the tutors and other students

##### Autonomy
• The students are able to find necessary information self-reliantly in literature sources and to judge their quality.
• During the semester the students are able to check their learning progress continuously in exercises. Based on this knowledge the students can adept their learning process.

6 ECTS

### Examination:

Written exam

Independent Study Time: 124, Study Time in Lecture: 56

## Course: Phase Equilibria Thermodynamics (Lecture)

Irina Smirnova

German

Summer Semester

### Content:

1. Introduction: Applications of thermodynamics of mixtures
2. Thermodynamic equations in multi-component systems: Fundamental equations, chemical potential, fugacity
3. Phase equilibria of pure substances: thermodynamic equilibrium, vapor pressure, Gibbs’ phase rule
4. Equations of state: virial equations, van-der-Waals equation, generalized equations of state
5. Mixing properties: ideal and real mixtures, excess properties, partial molar properties
6. Vapor-liquid-equilibria: binary systems, azeotropes, equilibrium condition
7. Gas-liquid-equilibria: equilibrium condition, Henry-coefficient
8. GE-Models: Hildebrand-model, Flory-Huggins-model, Wilson-model, UNIQUAC, UNIFAC
9. Liquid-liquid-equilibria: equilibrium condition, phase equilibria in binary and ternary systems
10. Solid-liquid-equilibria: equilibrium condition, binary systems
11. Chemical reactions: reaction coordinate, mass action law, influence of pressure and temperature
12. Osmotic pressure

### Literature:

• Jürgen Gmehling, Bärbel Kolbe: Thermodynamik. VCH 1992
• J.M. Prausnitz, R.N. Lichtenthaler, E.G. de Azevedo: Molecular Thermodynamics of Fluid-Phase Equilibria, 3rd ed. Prentice Hall, 1999.
• J.W. Tester, M. Modell: Thermodynamics and its Applications. 3rd ed. Prentice Hall, 1997.J.P. O´Connell, J.M. Haile: Thermodynamics. Cambridge University Press, 2005.

## Course: Phase Equilibria Thermodynamics (Recitation Section (small))

Irina Smirnova

German

Summer Semester

### Content:

1. Introduction: Applications of thermodynamics of mixtures
2. Thermodynamic equations in multi-component systems: Fundamental equations, chemical potential, fugacity
3. Phase equilibria of pure substances: thermodynamic equilibrium, vapor pressure, Gibbs’ phase rule
4. Equations of state: virial equations, van-der-Waals equation, generalized equations of state
5. Mixing properties: ideal and real mixtures, excess properties, partial molar properties
6. Vapor-liquid-equilibria: binary systems, azeotropes, equilibrium condition
7. Gas-liquid-equilibria: equilibrium condition, Henry-coefficient
8. GE-Models: Hildebrand-model, Flory-Huggins-model, Wilson-model, UNIQUAC, UNIFAC
9. Liquid-liquid-equilibria: equilibrium condition, phase equilibria in binary and ternary systems
10. Solid-liquid-equilibria: equilibrium condition, binary systems
11. Chemical reactions: reaction coordinate, mass action law, influence of pressure and temperature
12. Osmotic pressure

The students work on tasks in small groups and present their results in front of all students.

### Literature:

• Jürgen Gmehling, Bärbel Kolbe: Thermodynamik. VCH 1992
• J.M. Prausnitz, R.N. Lichtenthaler, E.G. de Azevedo: Molecular Thermodynamics of Fluid-Phase Equilibria, 3rd ed. Prentice Hall, 1999.
• J.W. Tester, M. Modell: Thermodynamics and its Applications. 3rd ed. Prentice Hall, 1997.J.P. O´Connell, J.M. Haile: Thermodynamics. Cambridge University Press, 2005.

## Course: Phase Equilibria Thermodynamics (Recitation Section (large))

Irina Smirnova

German

Summer Semester

### Content:

1. Introduction: Applications of thermodynamics of mixtures
2. Thermodynamic equations in multi-component systems: Fundamental equations, chemical potential, fugacity
3. Phase equilibria of pure substances: thermodynamic equilibrium, vapor pressure, Gibbs’ phase rule
4. Equations of state: virial equations, van-der-Waals equation, generalized equations of state
5. Mixing properties: ideal and real mixtures, excess properties, partial molar properties
6. Vapor-liquid-equilibria: binary systems, azeotropes, equilibrium condition
7. Gas-liquid-equilibria: equilibrium condition, Henry-coefficient
8. GE-Models: Hildebrand-model, Flory-Huggins-model, Wilson-model, UNIQUAC, UNIFAC
9. Liquid-liquid-equilibria: equilibrium condition, phase equilibria in binary and ternary systems
10. Solid-liquid-equilibria: equilibrium condition, binary systems
11. Chemical reactions: reaction coordinate, mass action law, influence of pressure and temperature
12. Osmotic pressure

### Literature:

• Jürgen Gmehling, Bärbel Kolbe: Thermodynamik. VCH 1992
• J.M. Prausnitz, R.N. Lichtenthaler, E.G. de Azevedo: Molecular Thermodynamics of Fluid-Phase Equilibria, 3rd ed. Prentice Hall, 1999.
• J.W. Tester, M. Modell: Thermodynamics and its Applications. 3rd ed. Prentice Hall, 1997.J.P. O´Connell, J.M. Haile: Thermodynamics. Cambridge University Press, 2005.