Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020, bzw. am 13.01.2021 verabschiedet.


Module MV-TD-56-M-4

Thermodynamics of Mixtures (M, 5.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MV-TD-56-M-4 Thermodynamics of Mixtures 5.0 CP (150 h)


CP, Effort 5.0 CP = 150 h
Position of the semester 1 Sem. in WiSe
Level [4] Bachelor (Specialization)
Language [DE] German
Module Manager
Area of study [MV-LTD] Engineering Thermodynamics
Reference course of study [MV-82.103-SG] B.Sc. Mechanical Engineering
Livecycle-State [NORM] Active


Type/SWS Course Number Title Choice in
Presence-Time /
SL SL is
required for exa.
PL CP Sem.
3V+1U MV-TD-86053-K-4
Thermodynamics of Mixtures
P 56 h 94 h - - PL1 5.0 WiSe
  • About [MV-TD-86053-K-4]: Title: "Thermodynamics of Mixtures"; Presence-Time: 56 h; Self-Study: 94 h

Examination achievement PL1

  • Form of examination: written or oral examination
  • Examination Frequency: each semester
  • Examination number: 10053 ("Thermodynamics of Mixtures")
    Written examination (90-120 minutes) or oral examination with written preparation (50-65 minutes), will be announced at the beginning of the course.

Evaluation of grades

The grade of the module examination is also the module grade.


  • Partial molar properties
  • Thermal and caloric properties of mixtures:
    • Excess volume, excess enthalpy
    • Thermal equations of state
  • Phase equilibria (phenomenology):
    • Phase diagrams
    • Two-phase and multiphase equilibria (gas, liquid, solid)
    • Azeotropic and hetero-azeotropic systems
    • Equilibira with supercritical components
  • Fundamentals of modeling mixtures:
    • Fundamental equations
    • Legendre-Transformation
    • Gibbs energy, Helmholtz energy
    • Fugacity, fugacity coefficient
    • Activity, activity coefficient
    • Models of the Gibbs excess energy
    • Maxwell relations
    • Gibbs-Duhem relation
    • Gibbs phase rule
  • Phase equilibria (modeling and simulation):
    • Vapor-liquid equilibria (Raoult‘s lay)
    • Gas solubility (Henry’s law)
    • Liquid-liquid equilibria
    • Solid-liquid equilibria
    • Membrane equilibria

Competencies / intended learning achievements

1. Lectures

The students are able to describe and discuss the

  • fundmental concepts and methods of modeling mixtures
  • phenomenology of thermal and caloric porpeties of mixtures
  • phenomenology of phase equilibira of mixtures

2. Excercises

The students are able to apply the learning outcomes of the lecture to solve practical problems from process engineering with mixtures.


  • Gmehling, J., Kolbe, B.: Thermodynamik, 2. Auflage, VCH Verlag, Weinheim (1992)
  • Tester, J. W., Modell, M.: Thermodynamics and its applications, Prentice-Hall, Englewood Cliffs (1997)
  • Prausnitz, J. M., Lichtenthaler, R. N., de Azevedo, E. G.: Molecular Thermodynamics of Fluid Phase Equilibria, 3rd edition, Prentice-Hall, Englewood Cliffs (1999)
  • Stephan, K., Mayinger, F.: Thermodynamik, Band 2, 14. Auflage, Springer-Verlag, Berlin (1999)
  • Walas, S. M.: Phase Equilibria in Chemical Engineering, Butterworth (1991)
  • Pfennig, A.: Thermodynamik der Gemische, Springer-Verlag, Berlin (2004)

Requirements for attendance of the module (informal)


Requirements for attendance of the module (formal)


References to Module / Module Number [MV-TD-56-M-4]

Course of Study Section Choice/Obligation
[MV-82.103-SG] B.Sc. Mechanical Engineering [Specialisation] KF5: Computational Engineering (if chosen) [P] Compulsory
[MV-82.B10-SG] B.Sc. Energy and Process Engineering [Fundamentals] Ingenieurwissenschaftliche Grundlagen I [P] Compulsory
[MV-82.A29-SG] B.Sc. Biological and Chemical Engineering [Fundamentals] Ingenieurwissenschaftliche Grundlagen [P] Compulsory
[WIW-88.177-SG] M.Sc. Business Administration and Engineering specialising in Chemistry [Specialisation] Business Administration and Engineering: Engineering Field of Specialization [WP] Compulsory Elective
[WIW-88.?-SG#2021] M.Sc. Business Administration and Engineering specialising in Chemistry 2021 [2021] [Specialisation] Field of Study: Chemistry [WP] Compulsory Elective