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Course, academic year 2018/2019
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Non-equilibrium thermodynamics of electrochemistry - NMMO660
Title in English: Nerovnovážná termodynamika elektrochemie
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 4
Hours per week, examination: summer s.:2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Additional information: http://www.karlin.mff.cuni.cz/~pavelka/elchem.html
Guarantor: RNDr. Michal Pavelka, Ph.D.
Class: DS, matematické a počítačové modelování
M Mgr. MOD > Volitelné
Mat. modelování
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category, Mathematical Modeling in Physics
Physics > Mathematical and Computing Modelling in Physics
Annotation - Czech
Last update: Mgr. Dalibor Šmíd, Ph.D. (24.04.2018)
Elektrochemie je disciplínou spojující transport hmoty a elektrického náboje. Je nezbytným nástrojem například pro popis baterií, palivových článků nebo elektrolyzérů. Cílem přednášky bude zformulovat základní rovnice popisující elektrochemické procesy pomocí nerovnovážné termodynamiky a demonstrovat některá jejich řešení.
Course completion requirements -
Last update: RNDr. Michal Pavelka, Ph.D. (11.06.2019)

After solving a homework problem, the exam will consist of detailed discussion about that problem and about overall understanding of the rest.

Literature -
Last update: RNDr. Michal Pavelka, Ph.D. (14.05.2019)

Michal Pavelka, Václav Klika and Miroslav Grmela. Multiscale Thermo-Dynamics, de Gruyter (Berlin), 2018

Pavelka, M., Klika, V., Vágner, P., Maršík, F., Generalization of Exergy Analysis, Applied Energy 137 (2015), pp. 158-172

Atkins, de Paula, Physical Chemistry, OUP Oxford; 9 edition, 2009

Kjelstrup, S. and Bedeaux, D., Non-equilibrium thermodynamics of heterogeneous systems, World Scientific 2008

Requirements to the exam - Czech
Last update: RNDr. Michal Pavelka, Ph.D. (24.04.2018)

Podmínky zkoušky: Základní porozumnění probranému.

Podmínky zápočtu: Vyřešení domácí úlohy.

Syllabus -
Last update: RNDr. Michal Pavelka, Ph.D. (14.05.2019)

1) Review of Maxwell equations for electromagnetic field, magnetization and polarization.

2) Review of equation for transport of mixtures in mechanical equilibrium (Maxwell-Stefan diffusion relations). Entropy, free energy of mixtures. Entropy production.

3) Connection between Maxwell equations and diffusion equations. Lorentz force, electrochemical potential, Maxwell stress tensor. Basic rheological behavior of mixtures. Poisson equation. Ohm's law, Nernst-Planck-Poisson equations, Fick's law.

4) Electrochemical reactions, Butler-Volmer equation and equilibrium constants. Electrochemical tables, reference chemical potentials. Nernst relation, osmotic pressure, Donnan potential, open-circuit voltage and dissociation. Voltage of hydrogen fuel cells and redox flow batteries.

6) Transport equations, electrochemical reactions and description of hydrogen fuel cells.

7) Efficiency of energy producing devices, relation to entropy production. Stability using Braun-Le Chatelier principle.

 
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