# Thermodynamics

## Presentation

Programme (detailed contents):

Introduction : Mathematic for thermodynamics : partial derivatives, Jacobian, exact and inexact differential, Legendre transform, extensive and intensive properties.

I-Part : Formalism of the thermodynamic of the equilibrium states :

• Postulates for simple systems
• Fundamental equations of simple systems
• States equation of simple systems
• Calorimetric coefficients of simple systems
• Legendre transform of simple systems
• New equilibrium conditions of simple systems
• Stability conditions of simple systems
• Generalisation of the thermodynamics to complex systems

II-Part : Applications

• Perfects gases
• Mixture of perfect gases
• Real gases
• Liquids
• Solids
• State transformation
• Phase diagram
•  Superficial and interfacial phenomena
• Energy and efficiency.

III-Part : Irreversible processes

• Formalism
• Matter transport (diffusion)

v  Heat transport (conduction)

Organisation:

v  The main concepts will be introduced in a series of lectures (20), and illustrated by a series of tutorial class (10).

v  First intermediate test will be realised after the first third of the course, and the second test after two-thirds of the course.

Main difficulties for students:

Difficulty in acquiring the main principles, and using them to treat real problems.

## Objectives

At the end of this module, the student will have understood and be able to explain (main concepts) :
Laws of thermodynamics, equilibrium and stability conditions, state transitions, phase
diagram, energy, heat, work, matter/heat transport and exchange.
The student will be able to:
The student will be able to grasp different concepts, assimilate them, extract them
from their context in order to use them in real-life situations.

## Needed prerequisite

Basic level in mathematical analysis: function of several variables, integration, differential equations

Some basic ideas of thermodynamics.

## Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...

## Bibliography

Thermodynamics and an Introduction to Thermostatistics Herbert B. Callen Ed. John Wiley and Sons (WIE) ; 2n.