Are Liquids Truly Incompressible? A Comparison Between Gas and Liquid Pressure Responses
We often learn that gases are compressible, while liquids are not. But in reality, liquids do compress—just extremely slightly. This post compares the compressibility of gases and liquids in terms of physical properties, experimental evidence, and industrial applications.
Structural Differences Between Gases and Liquids
Gases have molecules that are far apart and free to move, so they respond readily to external pressure and decrease in volume. In contrast, liquids have tightly packed molecules, so even with high pressure, their volume changes very little. This is the essence of the difference in compressibility.
Comparing Compressibility Coefficients
- Compressibility of air (gas): approx. 10-5 Pa-1
- Compressibility of water (liquid): approx. 4.6 × 10-10 Pa-1
A compressibility coefficient indicates how much a substance's volume decreases per unit pressure. Water is about 20,000 times harder to compress than air.
Examples and Experiments in Real Life
- Syringe experiment: A syringe filled with air compresses easily, but one filled with water hardly moves.
- Submarine pressure: In deep oceans, water remains nearly unchanged in volume despite immense pressure.
- Hydraulic systems: Used in construction and machinery due to the minimal volume change under pressure.
Liquids Are Not Perfectly Incompressible
No material is completely incompressible. It’s just that extremely high pressure is needed to notice volume changes. For example, under 1,000 atmospheres, water's volume decreases by only about 0.5%.
Relationship Between Pressure and Volume in Liquids
ΔV = -κ × V₀ × ΔP (κ: compressibility coefficient, V₀: original volume, ΔP: pressure change)
According to this formula, the "incompressible" nature of liquids is really a very small but measurable volume change under pressure.
Industrial Applications: Hydraulic vs. Pneumatic Systems
- Hydraulic systems: Use liquid’s near-incompressibility for precise, consistent force transmission (e.g., excavators, elevators).
- Pneumatic systems: Use gas’s compressibility for cushioning or energy absorption (e.g., air hammers, tires).
Each system is chosen based on its purpose, and the compressibility properties significantly affect design and operation.
Conclusion
Liquids are not truly incompressible—they just compress very little. This subtle property isn’t just a scientific detail; it's crucial in many real-world systems. Understanding the differences between gas and liquid behavior enhances not only your scientific literacy but also your appreciation for the technologies around you.
