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# (NS) Thermodynamics - PHY00033I

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• Department: Physics
• Module co-ordinator: Dr. Martin Smalley
• Credit value: 10 credits
• Credit level: I
• Academic year of delivery: 2020-21

## Module will run

Occurrence Teaching cycle
A Autumn Term 2020-21

## Module aims

Thermodynamics is a branch of Physics that can be applied to any system in which thermal processes are important, although we will concentrate on systems in thermal equilibrium. It is based on four laws (derived from experimental observation) and makes no assumptions about the microscopic character of the system. It is therefore very powerful and very general. We will introduce these laws, consider their consequences and apply them to some simple systems.

The module will prepare you for applications in different branches of Physics and provide a foundation for the model-dependent statistical mechanics approach.

## Module learning outcomes

Subject content

On completion of this course the student will be able to -

Thermodynamics

• Define and explain fundamental concepts such as system, state function, quasistatic reversible process, thermodynamic equilibrium and equation of state.
• State the Zeroth Law of Thermodynamics; explain how this leads to the definition of empirical temperature, describe how the International Temperature Scale is realised and perform calculations related to empirical temperature scales.
• State the First Law of Thermodynamics and show how this leads to a definition of the internal energy, U, as a state function and to the conservation law dU = dW + dQ.
• Define bulk parameters, such as the principal heat capacities, and perform calculations requiring application of the First Law.
• Explain the concept of an ideal reversible heat engine, describe a Carnot cycle and derive the efficiency of a Carnot engine.
• State the Kelvin-Planck and Clausius forms of the Second Law of Thermodynamics and show they are equivalent. Use this law to prove Carnotâ theorem and its corollary.
• Show how thermodynamic temperature may be defined from the Second Law. Perform calculations relating to ideal engines, refrigerators and heat pumps.
• Derive Clausiusâ theorem from the Second Law and show how this theorem leads to the definition of entropy, S. Prove that S is a state function. Derive the entropy form of the First Law. Calculate entropy changes for simple irreversible processes.
• Define the Helmholtz and Gibbs functions and show how these are related to conditions of thermodynamic equilibrium.
• Derive the four Maxwell relations for systems with two degrees of freedom and use them in calculations and derivations.
• Define the order of a phase transition in terms of derivatives of the Gibbs function.
• Derive the Clausius-Clapeyron equation for a first order phase transition and apply it to solid-liquid, liquid-vapour and solid-vapour phase transitions. Obtain Ehrenfestâ equations for second order transition.
• State the Third Law of Thermodynamics and describe some of the consequences for the behaviour of systems at low temperatures.
• Discuss and use (in quantitative calculations) the fundamental ideas of thermodynamics in a range of systems such as (i) showing that U is independent of T for an ideal gas; (ii) deriving the TdS equations and use them to describe the behaviour of the principal specific heat capacities; (iii) applying a thermodynamic approach to the elastic deformation of a rod; (iv) deriving the equations for the Joule and Joule-Kelvin coefficients and explaining how the Joule-Kelvin effect is used in the liquefaction of gases; (v) the thermodynamic analysis of black body radiation etc.

## Assessment

Task Length % of module mark
24 hour open exam
Thermodynamics
N/A 80
Essay/coursework
Assignment
N/A 20

None

### Reassessment

Task Length % of module mark
24 hour open exam
Thermodynamics
N/A 80
Essay/coursework
Assignment
N/A 20

## Module feedback

Return of marked practice questions with feedback within 7 day deadline

Practice questions feedback sessions in lectures (around 2 hours total)

Feedback from lecturers / PGWTs in problem classes and tutorials

Online VLE tests throughout the module with provide feedback on understanding and progress.

Zemansky, MW and Dittman, RH: Heat and Thermodynamics (McGraw-Hill)

Blundell, SJ and KM: Concepts in Thermal Physics (Oxford University Press)

Waldram, JR: The Theory of Thermodynamics (CUP)

The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.

## Coronavirus (COVID-19): changes to courses

The 2020/21 academic year will start in September. We aim to deliver as much face-to-face teaching as we can, supported by high quality online alternatives where we must.

Find details of the measures we're planning to protect our community.