TMT4155 - Heterogeneous Equilibria and Phase Diagrams


Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 4 hours D

Course content

The course shall give knowledge in energy and mass balances, chemical thermodynamics, including the thermodynamics of solutions, chemical potential and chemical activity and standards states in chemical thermodynamics in addition to Gibbs phase rule including the construction and use of phase equilbria for single, two and multi-component systems.

Learning outcome

After the coarse the student should have the following knowledge:
- Calculate energy- and mass- balances for production processes of materials.
- Apply the thermodynamics of solutions to analyse experimental data and to be able to use models for ideal and regular solutions on solid and liquid solutions of alloys and inorganic materials.
- Calculate the chemical activity and the activity coefficient from experimental data and relate these to models for solutions.
- Perform simple calculations of binary phase diagrams by the use of ideal and regular solution models.
- Use the Gibbs phase rule and the principles for the construction of phase diagram based on experimental data for single, binary and multi component systems including predominance diagrams.
- Extract information about phase equilbria from phase diagrams, which is of relevance to production and application of materials with focus on metals, alloys and inorganic materials.

Learning methods and activities

The course is taught through lectures and group exercises. HSC Chemistry will be used to find and calculate thermodynamic values. The exercises are compulsory and 80% must be approved. Two semester tests are also compulsory. The final is given by a letter grade based on one final exam. The teaching is given in English and the Examination papers is given in English and Norwegian. Students are free to choose Norwegian or English for written assessments. The total work effort is estimated to 200 hours.

Compulsory assignments

  • Exercises
  • Semester tests

Further on evaluation

If fail or retake it is the written final exam you are taking again if the compulsory activities are approved.

Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Required previous knowledge

Knowledge equivalent to TMT4275, Thermodynamics and Phasediagrams (see course description 2013/2014), TKJ4202/KJ1042 Basic Thermodynamics with Laboratory or Chapters 1-7 in Gaskell, D. R: 'Introduction to the Themodynamics of Materials', 4. edition, Taylor & Francis (2003). Some knowledge in chemical thermodynamics or physical chemistry.

Course materials

Svein Stølen and Tor Grande, Thermodynamics of Materials, John Wiley & sons, Ltd (2004). Lecture notes and exercises.

Credit reductions

Course code Reduction From To
SIK3056 7.5
More on the course

Version: 1
Credits:  7.5 SP
Study level: Fourth-year courses, level IV


Term no.: 1
Teaching semester:  AUTUMN 2020

No.of lecture hours: 3
Lab hours: 3
No.of specialization hours: 6

Language of instruction: English

Location: Trondheim

Subject area(s)
  • Materials Science and Engineering
  • Thermodynamics
  • Chemistry
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Materials Science and Engineering



Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Autumn ORD Written examination 100/100 D INSPERA
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

More on examinations at NTNU