Course unit code:
Course unit title:
Fundamentals of Material Balances
Mode of delivery, planned learning activities and teaching methods:
seminar – 2 hours weekly (on-site method)
Credits allocated:
Recommended semester:
Automation, Information Engineering and Management in Chemistry and Food Industry – bachelor (full-time, attendance method), 1. semester
Level of study:
Prerequisites for registration:
Assesment methods:
During semester the student should pass one written test (in the 13th week of semester). Maximum points they could obtain is 30. The tests are oriented on the ability of students to solve material balances of systems without and with chemical reactions. Score: A 92 100 %, B 63 91 %, C 74 82 %, D 65 73 %, E 56 64 %, FX 0 55 %
Learning outcomes of the course unit:
The aim is to explain material balances of batch and continuous multicomponent systems, without and with chemical reaction. To explain composition of streams, stoichiometry, conversion, reaction extent, draw the balance scheme, balance table, solve the systems of balance equations.
Course contents:
1. Introduction (allowance 0/4)
a. Introduction. Basic principles of material balances. Batch system, continuous flow system. Balancing time.
b. Components, parameters of flow, concentration, balancing variables.
c. Solution of simple problems.

2. Simple material balances (allowance 0/2)
a. Current evaluation based on the students’ readiness to solve problems. Mass flow, component mass flow. Conversion of mass flow to volume flow parameters and vice versa.
b. Solution of simple problems.

3. Simple material balances (allowance 0/4)
a. Molar fraction, molar flow, component molar flow. Molar mass of a mixture.
b. Conversion of mass variables to molar ones and vice versa.
c. Solution of simple problems.

4. Material balances of simple systems (allowance 0/2)
a. Current evaluation based on the students’ readiness to solve problems. Mathematical formulation of problems to be solved. Number of equation, independent equations, solution of a system of linear algebric equations.
b. Molar and mass concentration. Balances of systems with higher number of components. Yield of components separation.
c. Solution of simple problems.

5. Material balances of complex systems (allowance 0/4)
a. Current evaluation based on the students’ readiness to solve problems. Complex systems, flowsheet with subsystems, component separation.
b. Co current and counter current flow.
c. Problems solution.

6. Material balances of systems with chemical reaction (allowance 0/4)
a. Generation and consumption of reactants, stoichiometry, reaction extent, key component, flowsheet of a system with chemical reaction.
b. Conversion, balance equations, solution of balance equations.
c. Problems solution.

7. Material balances of systems with chemical reaction (allowance 0/6)
a. Current evaluation based on the students’ readiness to solve problems. Theoretical extent of reaction, key (limiting) component, component in excess. Incomplete reactant conversion.
b. Surplus amount of reactant.
c. Solution of material balances with chemical reaction.
d. Written exam.

Recommended or required reading:
  • ŠEFČÍKOVÁ, M. – ŠEFČÍK, J. – STOPKA, J. Materiálové bilancie technologických procesov. Bratislava : STU v Bratislave, 1997. 157 s. ISBN 80-227-0950-6.
  • REKLAITIS, G. Introduction to Material and Energy Balances. New York : John Wiley & Sons, 1983. 683 s. ISBN 0-471-04131-9.
Language of instruction:
Slovak, English
Assessed students in total:

A 9.8 %

B 24.1 %

C 20.7 %

D 14.9 %

E 12.1 %

FX 18.4 %

Course supervisor:
doc. Ing. Pavol Steltenpohl, PhD.
Last modification:
19. 9. 2019

Department of Chemical and Biochemical Engineering

AIS: 2019/2020   2018/2019   2017/2018  

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