1. Stoichiometry and mass balance equations.

2. Stoichiometric form of equilibrium conditions.

3. Equilibrium calculations, simple system.

4. Heterogeneous reactions.

5. Influence of reaction variables.

6. Optimal reaction conditions, simple system.

7. Mathematical tools: method of Lagrangian multipliers.

8. Mathematical tools: Kuhn - Tucker conditions.

9. Non-stoichiometric forms of equilibrium conditions.

10. Chemical equilibrium calculation of heterogeneous system.

11. Input data for chemical equilibrium calculations.

12. Linear problem, only single species phases are present in the system.

13. Thermodynamic properties of the system containing solid solutions and alloys.

14. Examples chemical equilibrium calculations and problems.

1. Stoichiometry and mass balance equations. Stoichiometric form of equilibrium conditions.

2. Calculation of chemical equilibrium for a single reaction.

3. Thermochemical data of compounds and their reprocessing to required conditions.

4. Chemical equilibrium at constant volume and temperatute. Utilization of extensive criterions of equilibrium.

5. Stochiometry of simultaneous reactions. Stoichiometric and non-stoichiometric forms of mass balance.

6. Stoichiometric form of solution of chemical equilibrium for simultaneous reactions.

7. Solving of complex ionic equilibria (polyprotic acids, ampholytes, buffer solutions)

8. Introduction to mathematical programming. Lagrange function, Kuhn-Tucker conditions.

9. Utilization of mathematical programming for solution of complex chemical equilibrium (non-stochiometric solution)

10. Chemical equilibrium in systems containing pure solids. Decomposition temperature of solids.

11. Ellingham diagrams, Kellogg diagrams.

12. Chemical equilibrium in multicomponent heterogeneous systems. Thermodynamics of steal treatment.

13. Demonstration of solution of chemical equilibrium in systems containing solids.

14. Summary and recapitulation