6-Real gases

Exercise

Question

A quick calculation	Information

Ideal gas equation of state

WRONG!!!

What about heating?

Phase transiton

Phase transiton

Reminder about phases

First-order phase transition

Lots of modifications

The Clapeyron equation

Second-order phase transition

Consequences

Examples

Liquid - vapor
Solid - liquid
Solid - vapor

A quick cycle

Comments

Drawbacks of ideal gases

Compressibility factor

Case of CO2

Van der Waals

Van der Waals isothermals in the (P, v) diagram

Advantages/drawbacks

Let’s remove dimensions

Theorem of corresponding states

Equation of state

Virial equation of state

Equations of state

Case of water - IAPWS 97

Computing