- Professor Nicholas Mitchell (Professor, Department of Electronic & Electrical Engineering, The University of Bath - The University of Bath)
|Delivery Type||Delivery length / details|
|Lecture||22 x 1 Hour Lectures|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours||70%|
|Semester Assessment||Blackboard quizzes||10%|
|Semester Assessment||Problem sheets||20%|
|Supplementary Exam||2 Hours||100%|
On successful completion of this module students should be able to:
1. Explain the principles of the zeroth, first, second and third laws of thermodynamics.
2. Apply the laws of thermodynamics to analyse associated physical problems.
3. Present the principal thermodynamic steps in the operation of heat engines and calculate efficiencies.
4. Analyse thermodynamic processes in terms of the basic concepts of reversibility and entropy.
5. Illustrate the basic concepts of statistical mechanics and their applications to deduce properties of matter.
The module considers the laws of thermodynamics and associated thermodynamic properties and introduces the theories for real gases and phase transitions. It also presents the techniques of statistical mechanics for linking microscopic properties of matter with thermodynamic parameters. It covers core material in preparation for more advanced modules.
1. Ideal gas, state variables, changes of state.
2. Thermal equilibrium, zeroth law of thermodynamics, temperature scales.
3. Work, Heat and Internal Energy, first law of thermodynamics.
4. Heat Capacity, Enthalpy.
1. Entropy and its statistical definition.
2. Reversible and irreversible processes.
3. Heat engines, refrigerators and heat pumps.
4. The second law of thermodynamics: Kelvin-Planck, Clausius statements.
5. Carnot cycle, thermodynamic temperature scale.
6. The third law of thermodynamics and absolute entropy.
THERMODYNAMIC POTENTIALS AND MAXWELL RELATIONS
1. Gibbs and Helmholtz free energies.
2. The Maxwell relations.
3. Phase equilibria.
4. Clausius-Claperyon relation.
1. The van der Waals equation of state, critical temperature, the Dieterici equation of state.
2. Virial expansion, Boyle temperature, condensation of gases.
3. Joule-Kelvin expansion.
1. Thermodynamic definition, phase rule, and mixing of real solutions.
2. Calculation of thermodynamic potentials and partition function.
3. Dynamics of phase transitions, fluctuations of density, nucleation and diffusion.
1. Basic ideas: Assembly. Macrostates and Microstates. Distinguishable and Indistinguishable identical particles. Quasi-independent. Distribution. Entropy and number of microstates.
2. Distinguishable particles: Distributions of a macrostate. Most probable distribution. Boltzmann distribution. Partition function. Partition function and thermodynamic functions.
3. Indistinguishable particles: Fermi-Dirac distribution function. Bose-Einstein distribution function. Dilute gas. Density of states. Maxwell-Boltzmann distribution function. Partition function for a Maxwell-Boltzmann gas. Partition function and thermodynamic functions. Maxwell-Boltzmann speed distribution. Introduction to: Fermi-Dirac gases, Fermi energy, Fermi temperature and Bose-Einstein condensation.
This module is at CQFW Level 5