Course Information

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 21 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 21 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 23 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 23 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 23 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 23 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 3 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 16 fields of study the course is directly associated with, display

Syllabus

• Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Language of instruction

Czech

Further Comments

The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2024

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
In-person direct teaching

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2023

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2022

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in autumn 2021

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2020

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2019

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2018

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in autumn 2017

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2016

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2015

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2014

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2013

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2012

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.
Supplier department: Department of Chemistry – Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2011

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2010

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2009

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2008

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2001

Extent and Intensity

2/0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 23 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
General note: v a.r.01/02.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2000

Extent and Intensity

2/0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Chemistry Section – Faculty of Science

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 23 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
General note: v a.r.01/02.

C7291 Applied Thermodynamics I

The information about the term Autumn 2011 - acreditation is not made public

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Physical Chemistry (programme PřF, N-CH)
• Macromolecular Chemistry (programme PřF, D-CH) (2)

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Teaching methods

Lectures

Assessment methods

Oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 21 fields of study the course is directly associated with, display

Course objectives

Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus (in Czech)

• Aplikovaná termodynamika I 1. Podstata problému fázové rovnováhy. Možnosti a způsoby aplikace termodynamiky k jeho řešení. 2. Klasická termodynamika fázové rovnováhy. Rovnováha v heterogenním uzavřeném systému. Gibbsova-Duhemova rovnice. Fázové pravidlo. Chemický potenciál. Fugacita a aktivita. 3. Termodynamické vlastnosti z volumetrických dat. Termodynamické vlastnosti s nezávisle proměnnými T a P. Termodynamické vlastnosti s nezávisle proměnnými T a V. Fugacita čisté kapaliny či tuhé látky. Fázové rovnováhy z volumetrických dat. 4. Mezimolekulové síly a teorém korespondujících stavů. Potenciálové funkce. Elektrostatické síly. Síly mezi nepolárními molekulami. Specifické interakce. Molekulární základ teorému korespondujících stavů. Korespondující stavy u složitějších molekul. 5. Fugacita v plynných směsích. Viriální stavová rovnice a její rozšíření na směsi. Viriální koeficienty z potenciálových funkcí. Viriální koeficienty z teorému korespondujících stavů. Fugacita za vysokých hustot. Rozpustnost tuhých látek a kapalin ve stlačených plynech. 6. Fugacita v kapalných směsích: dodatkové termodynamické funkce. Ideální roztok. Základní vztahy pro dodatkové funkce. Aktivita a aktivitní koeficient. Normalizace aktivitních koeficientů. Aktivitní koeficienty z dodatkových funkcí. Aplikace Gibbsovy-Duhemovy rovnice. Wohlův rozvoj dodatkové Gibbsovy energie.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

C7291 Applied Thermodynamics I

The course is not taught in Autumn 2010 - only for the accreditation

Extent and Intensity

2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).

Teacher(s)

doc. RNDr. Michal Roth, CSc. (lecturer)
prof. RNDr. Jan Vřešťál, DrSc. (lecturer)

Guaranteed by

doc. RNDr. Michal Roth, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Jan Vřešťál, DrSc.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

there are 11 fields of study the course is directly associated with, display

Course objectives

Main objectives can be summarized as follows: Classical thermodynamics of phase equilibria. Thermodynamics properties from volumetric data. Intermolecular forces and the theory of corresponding states. Fugacities in gas mixtures. The virial equation of state. Solubility of solids and liquids in compressed gases. Fugacities in liquid mixtures, excess functions. Fundamental relations of excess functions. Activity and activity coefficients. Normalisation of activity coefficients. Activity coefficients from excess functions.

Syllabus

• Applied thermodynamics I 1. Problem of phase equilibria. Possibility and methods of application of thermodynamics to its solution.
• 2. Clasical thermodynamics of phase equlibria. Equilibrium in heterogeneous closed system. Gibbs-Duhem equation. Gibbs phase rule. Chemical potential. Fugacity a activity.
• 3. Thermodynamic properties from the volumetric data. Thermodynamic properties with independent variables T and P. Thermodynamic properties with independent variables T a V. Fugacity of pure liquid or pure solid. Phase equilibria from volumetric data.
• 4. Intermolecular forces and theorem of corresponding states. Potential functions. Electrostatic forces. Forces between non-polar molecules. Specific interactions. Molecular base of the theorem of corresponding states. Corresponding states in complex systems.
• 5. Fugacity in gasseous mixtures. Virial equation of state and its extension to mixtures. Virial coefficients from potential functions. Virial coefficients from the theorem of corresponding states. Fugacity at high densities. Solubility of solids and liquids in compressed gases.
• 6. Fugacity in liquid mixtures: excess thermodynamic functions. Ideal solution. Principle relations for excess functions. Activity and activity coefficient. Normalization of activity coefficients. Activity coefficients from the excess functions. Application of Gibbs-Duhem equation. Wohl equation for excess Gibbs energy.

Assessment methods

Lectures, oral exam

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.

• Enrolment Statistics (recent)