BeginnerTopic 17 of 105Thermodynamics & Fluids
Compressibility factor
Corrects ideal gas behaviour for real gases.
In depth
Z=Pv/RT measures deviation from ideal-gas behaviour; Z=1 for ideal. The generalised chart uses reduced pressure P_r=P/P_c and T_r=T/T_c (corresponding states). Z<1 where attractive forces dominate, >1 at high pressure.
Key points
- Use real-gas when P is high or T near critical
- Virial equations
- Fugacity
ExampleNatural gas at 100 bar needs Z≈0.85–0.9.
What is Compressibility factor?
Corrects ideal gas behaviour for real gases.
Why is it important to understand compressibility factor?
Real gases deviate from ideal behaviour at high pressure, so the compressibility factor is used to correct calculations for dense gases.
What does a compressibility factor of one mean?
The gas behaves ideally at that state, so the ideal gas law is accurate without correction.
How does the factor change at high pressure?
Real gas volumes differ from the ideal value, and Z can be well below or above one depending on the gas and state.
How is Compressibility factor used in practice?
Typical applications include correcting the density of a natural gas pipeline at high pressure, estimating the volume of a high-pressure gas cylinder and checking when an ideal gas assumption fails in a compressor design.
What should I learn before Compressibility factor?
Study "Quality of a mixture" first (topic 16 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.
What are the key points of Compressibility factor?
Use real-gas when P is high or T near critical. Virial equations. Fugacity.
Can you give an example of Compressibility factor?
Natural gas at 100 bar needs Z≈0.85–0.9.
What comes after Compressibility factor?
The next topic is "Energy balance for control volumes", which builds directly on this one.
How difficult is Compressibility factor?
It is classed as Beginner in Thermodynamics & Fluids (topic 17 of 105). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.