Skip to main content
Skip header

Balance

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code651-2039/01
Number of ECTS Credits Allocated3 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
VEC05prof. Ing. Marek Večeř, Ph.D.
STA277Ing. Petr Stavárek, Ph.D.
Summary
Learning Outcomes of the Course Unit
The objective of the course: to explain the basic principles of mass and energy balancing in the description of technological processes. Demonstrate practical procedures for balancing of complex systems using automated calculations.

Acquired knowledge: stoichiometric calculations, material balances of single-stage processes (mixer, splitter, separator, crystallizer) and multistage processes (solution preparation + concentration adjustment, recycle, by-pass).

Acquired skills: using and converting values in units based on the SI system, expressing the composition of compounds and mixtures in different ways and recalculating them, stoichiometric calculations (calculating the mass of reactants/products, the composition of the reaction mixture) including applying conversion, yield or losses. Fundamentals of the energy balances in simple processes.
Course Contents
1. Fundamental physical and chemical quantities. Units, dimensions, conversions. Counting with inaccurate values.
2. Mixtures and expressing their composition. Different expressions of concentration and their recalculations. Composition of compounds. Determination of stoichiometric formula from the composition. The mass fraction of an element in a mixture of compounds.
3. Preparation and separation of mixtures. Impurities. Fundamentals of material balance without chemical reaction. Balance diagram, streams, and components. Assignment matrix. The solution of simple balancing tasks (mixer, splitter, separator, etc.). Balance equations and additional closure relations.
4. Saturated solutions. Crystallization. Component yield.
5. The role of matter and chemical reaction. Law of Conservation. Conversion. Yield. Deficiency and excess of reactant. Losses. Key component. Basics of stoichiometric calculations.
6. Ideal gas. Relationships between mass and volume in the gaseous state. Standard conditions. Gaseous mixtures. Partial pressure. The volume of the pure component. Dalton's law. Amagate's law. Average molecular weight. Mixture density. Real gas.
7. Saturated vapor pressure. Influence of temperature on vapor pressure. Hausbrandt diagram.
8. More complex balance systems - multi-step processes. Recycle and By-pass.
9. TEST 1
10. More complex stoichiometric calculations (more reactions, different states of reactants/products, calculation of reaction mixture composition, etc.).
11. Psychometry. Humidity. Dry and humid air.
12. The energy balance. Standart conditions. The heat capacity. The heat of formation. The heat of combustion. The heat of chemical reaction. The heat of mixing. Hess's law. The temperature of the adiabatic reaction. Theoretical flame temperature.
13. Simultaneous material and energy balances. Balance of unsteady states.
14. TEST 2
Recommended or Required Reading
Required Reading:
FELDER Richard M., Ronald W. ROUSSEAU. Elementary principles of chemical processes, New York, Wiley. 1986. ISBN: 0471873241.
VEČEŘ Marek, Petr STAVÁREK. Bilance. Studijní opora pro VŠB, 2020.
FELDER Richard M., Ronald W. ROUSSEAU. Elementary principles of chemical processes, New York, Wiley. 1986. ISBN: 0471873241.
Recommended Reading:
GHASEM Nayef, Redhouane HENDA. Principles of chemical engineering processes, Boca Raton, CRC Press. 2009. ISBN: 9781420080131
LINDNER, Jiří. Základy chemicko-inženýrských výpočtů, VŠCHT Praha, 2014. ISBN: 978-80-7080-916-7.
FLEMR Vratislav, Eva HOLEČKOVÁ. Úlohy z názvosloví a chemických výpočtů v anorganické chemii, VŠCHT Praha, 2001. ISBN: 80-7080-435-1.
GHASEM Nayef, Redhouane HENDA. Principles of chemical engineering processes, Boca Raton, CRC Press. 2009. ISBN: 9781420080131.
Planned learning activities and teaching methods
Lectures, Tutorials, Experimental work in labs
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 51