1. Thermo & Stat Mech - Spring 2006 Class 14 1 Thermodynamics and Statistical Mechanics Kinetic Theory of Gases

2. Thermo & Stat Mech - Spring 2006 Class 142 Mixing of Two Ideal Gases Change of Gibbs Function An expression is needed for the specific Gibbs function.

3. Thermo & Stat Mech - Spring 2006 Class 143 Specific Gibbs Function

4. Thermo & Stat Mech - Spring 2006 Class 144 Specific Entropy

5. Thermo & Stat Mech - Spring 2006 Class 145 Specific Gibbs Function

6. Thermo & Stat Mech - Spring 2006 Class 146 Specific Gibbs Function

7. Thermo & Stat Mech - Spring 2006 Class 147 Mixing of Two Ideal Gases

8. Thermo & Stat Mech - Spring 2006 Class 148 For the Same Pressure

9. Thermo & Stat Mech - Spring 2006 Class 149 For the Same Pressure

10. Thermo & Stat Mech - Spring 2006 Class 1410 For the Same Volume

11. Thermo & Stat Mech - Spring 2006 Class 1411 For the Same Volume

12. Thermo & Stat Mech - Spring 2006 Class 1412 Basic Assumptions 1. A macroscopic volume contains a large number of molecules. 2. The separation of molecules is large compared to molecular dimensions. 3. No forces exist between molecules except those associated with collisions 4. The collisions are elastic.

13. Thermo & Stat Mech - Spring 2006 Class 1413 Basic Assumptions When no external forces are applied: 5. The molecules are uniformly distributed within a container. 6. The directions of the velocities of the molecules are uniformly distributed. The fraction of molecules with speeds in the range v to v + dv is: f (v) dv

14. Thermo & Stat Mech - Spring 2006 Class 1414 Molecular Speeds f (v) is the probability density.

15. Thermo & Stat Mech - Spring 2006 Class 1415 Gas Pressure

16. Thermo & Stat Mech - Spring 2006 Class 1416 Gas Pressure

17. Thermo & Stat Mech - Spring 2006 Class 1417 Gas Pressure

18. Thermo & Stat Mech - Spring 2006 Class 1418 Molecular Flux

19. Thermo & Stat Mech - Spring 2006 Class 1419 Molecular Flux

20. Thermo & Stat Mech - Spring 2006 Class 1420 Molecular Flux

21. Thermo & Stat Mech - Spring 2006 Class 1421 Gas Pressure

22. Thermo & Stat Mech - Spring 2006 Class 1422 Ideal Gas Law

23. Thermo & Stat Mech - Spring 2006 Class 1423 Molecular Kinetic Energy

24. Thermo & Stat Mech - Spring 2006 Class 1424 Equipartition of Energy

25. Thermo & Stat Mech - Spring 2006 Class 1425 Internal Energy

26. Thermo & Stat Mech - Spring 2006 Class 1426 Heat Capacities

27. Thermo & Stat Mech - Spring 2006 Class 1427 Maxwell Velocity Distribution Consider a gas at equilibrium. The number of molecules in any range of velocity does not change. Collisions cause individual molecules to change velocity, but the distribution does not change. For every collision that changes the distribution, there must be one that changes it back.

28. Thermo & Stat Mech - Spring 2006 Class 1428 Molecular Collisions

29. Thermo & Stat Mech - Spring 2006 Class 1429 Molecular Collisions

30. Thermo & Stat Mech - Spring 2006 Class 1430 Maxwell Distribution

31. Thermo & Stat Mech - Spring 2006 Class 1431 Evaluation of Constants

32. Thermo & Stat Mech - Spring 2006 Class 1432 Maxwell Distribution

33. Thermo & Stat Mech - Spring 2006 Class 1433 Maxwell Distribution

34. Thermo & Stat Mech - Spring 2006 Class 1434 Some Molecular Speeds