MadSci Network: Chemistry
Query:

Re: What property describes a fluids ability to change volume due to a pressure

Date: Thu Sep 21 03:57:45 2000
Posted By: Steve Lancaster, Staff, Chemistry, Hull Research Centre, BP
Area of science: Chemistry
ID: 967663805.Ch
Message:

Hello Stephen,

Firstly a fluid is simply a substance which has the ability to flow, so fluids can be either gases or liquids. Additionally, there is a state, known as a supercritical fluid but I won't go into that. A phase diagram shows the different phases in which a substance will exist as a function of temperature and pressure. I refer you to any text on physical chemistry, e.g. P.W. Atkins Physical Chemistry, which will explain phase diagrams in detail.

If you look at a phase diagram, you will notice that the boundary between liquid and solid is almost vertical and this shows that a massive increase in pressure of a liquid is required before it will solidify. Water actually works in the opposite way as the solid occupies more volume than the liquid, which is why frozen pipes burst. Have a look at a phase diagram for water.

Now, onto gases. The pressure of a gas is due to the gas atoms or molecules colliding with the walls of the container. The distance gas molecules travel before they collide with another molecule is relatively large, thus any intermolecular forces will be small. In fact, at pressures of less than 10 psi, intermolecular forces are not really significant, and at these low pressures all gases behave to a good approximation as an ideal gas. In an ideal gas the relationship between pressure, volume and temperature is shown by the following equation:

pV=nRT

Where p is the pressure, V is the volume, n is the amount of gas and T is absolute temperature. R is a constant called the gas constant. So, for perfect or ideal gases, or any gas at less than around 10 psi, they are all equally as compressible because there is no intermolecular interaction.

In the real world however, many gases do not behave in this ideal way, and may be more easily compressible if the molecules have an affinity for each other, or more difficult to compress if the molecules repel each other. At high pressures, forces of repulsion will dominate and ideal behaviour will fail for all gases. There are several equations which attempt to predict the behaviour of real gases but the most common one is the Van Der Waals equation. Again I refer you to any good text book on Physical Chemistry for a more rigorous treatment of this. Gases which tend to be dominated by attractive forces (at relatively low pressures) are usually organic molecules. A list of such gases and the various Van Der Waals constants can be found in the CRC Handbook of Chemistry and Physics. This will give you an idea of the compressibility of these materials in the gas phase. Please don't carry out any experiments on these materials as many of them are highly toxic and potentially explosive.

Many thanks for the question, and I hope this helps.


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