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School of Chemical and Environmental Engineering

Now offering two distinct diplomas: Chemical Engineering and Environmental Engineering

Mass and Energy Balances


SchoolChemical and Environmental Engineering
Course LevelUndergraduate
Course IDCHENVE 102Semester2nd
Course CategoryRequired
Course ModulesInstruction Hours per WeekECTS
Lectures, Tutorials exercises4
Th=3, E=1, L=0
Course Type General Background
Instruction/Exam LanguageGreek
The course is offered to Erasmus students 
Course URL 



Learning Outcomes

Upon successful completion of the course, the student will be able to:

  • Recognize the concepts of open and closed system and the system of permanent and non-permanent status.
  • Compile the main elements of writing and solving mass balances, in a process without chemical reaction, as well as in a single or multiple chemical process.
  • Carry out the analysis of degrees of freedom and recognizes the restrictive reactors and the reactors in excess.
  • Formulate elementary mass balances and a group of mass balances for processes involving more than one process unit.
  • Apply mass balances in case of combustion and to determine the extent of chemical reaction as well as in processes including recycling streams, bypass streams and cleaning streams (removal of materials).
  • Use the concepts of total conversion and conversion in one pass to chemical reactors with recycling.
  • Recognize under what conditions the law of ideal gases applies and when the relations of real gases are used.
  • Solve mass balances that include ideal or real gases.
  • Distinguish the correlation between the equilibrium of multiphase mixtures and separation technology.
  • Interpret phase diagrams and psychrometric diagrams, as well as understands the phase rule.
  • Determine the vapor pressure of a component, its degree of evaporation / condensation and describes the vapor-liquid equilibrium of a binary system.
  • Define each term in the general energy balance and applies it to open and closed systems, as well as to permanent and non-permanent systems.
  • Calculate the standard formation heat, combustion heat and reaction heat for a variety of reactions.
  • Solve mass and energy balance problems involving chemical reactions.
General Competencies/Skills
  • Review, analysis and synthesis of data and information, with the use of necessary technologies
  • Work in interdisciplinary environment
  • Environmental protection


  1. Introductory concepts and definitions.
  2. Material balances without reaction. 
  3. Material balances involving reactions and material balances for multi-unit systems.
  4. Processes including recycling streams, bypass streams and cleaning streams.
  5. Ideal and real gases, vapors and liquids and multiphase equilibrium.
  6. Phase diagrams and phase rule.
  7. Energy and energy balances – energy balances in systems involving chemical reactions.
  8. Humidity (psychrometric) charts and their use
  9. Analysis of the degree of freedom in steady-state processes.
  10. Heats of solution and mixing.
  11. The mechanical energy balance.
  12. Material and energy balances.  
  13. Unsteady-state material and energy balances.


Lecture MethodDirect (face to face)
Use of Information and Communication TechnologyPower point presentations,E-class support
Instruction OrganisationActivityWorkload per Semester
- Lectures and Tutorials39
- Lab lectures 13
- Autonomous study48
Course Total100
Assessment Method Written final examination (100%)


  • Βασικές Αρχές και Υπολογισμοί στη Χημική Μηχανική, Himmelblau M. David, Riggs B. James, Εκδόσεις Α. ΤΖΙΟΛΑ & ΥΙΟΙ Α.Ε.


Course Instructor:Professor C. Chrysikopoulos (Faculty - ChEnvEng)
Lectures:Dr. Ilias Kopanakis (N.Sc. -ChEnvEng)
Tutorial exercises:Dr. Ilias Kopanakis (N.Sc. -ChEnvEng)
Laboratory Exercises: