Why does the pressure-volume-constant of Helium increase?

In summary, the conversation discusses the use of an online software called Beyond Labs for testing gas laws. The tests involve manipulating pressure and volume while keeping temperature and moles constant. For real gases, the pressure-volume-constant decreases due to non-ideal behavior, but for helium gas, it increases due to the Van der Waals modification of the ideal gas law. This is because the coefficients a and b account for long range attraction and size effects. The conversation also mentions the concept of compression factor and the Boyle temperature, which explains the general behavior of real gases.
  • #1
garr6120
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TL;DR Summary
Why does the pressure-volume-constant of Helium increase with increases of external pressure; when the pressure-volume-constant decreases with increases of pressure for other real gasses?
Im doing a lab on an online software called beyond labs. On this software I am able to test gas laws by adding ideal and real gasses to a balloon in a pressure chamber.

When I am conducting the test I have a consistent temperature of 298K and .300 moles across all the tests; the only variables being manipulated is the pressure as the independent variable, and volume as the dependant variable.

For all my tests on real gasses as the pressure increases the volume decreases; Avargadro's Law: V=kn.
Subsequently, the pressure-volume-constant decreases because real gasses do not act idealistically. however with Helium gas as I increase the pressure, the pressure-volume- constant is on an increasing trend.

Why is this the case?
 
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  • #2
It shows up in the Van der Waals modification to the ideal gas law. The two positive coefficients a and b

[P + a(n/V)2] (V/n - b) = RT

take into account interparticle long range attraction and short term repulsion (size effects) respectively. It is not hard to see that they work in different directions on the PV product. For Helium the a is very small,. I think that explains it.
Physically this is because the long distance attraction is electric dipole-dipole and the noble gases are very small and spherical.
 
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  • #3
Can't say I ever heard about the "pressure-volume-constant".

Do you mean value of the pressure*volume product? It is constant only for ideal gases, or real gases in the range where they can be treated as ideal.
 
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  • #4
This is a general behavior for real gases. The compression factor:
$$Z=\frac{pV_m}{RT}$$
for real gases generally dips below 1 at low temperatures and reverses direction to rise above 1 at higher temperatures (for an ideal gas, ##Z=1##). The point at which ##Z## re-crosses the value ##Z=1## is known as the Boyle temperature. It’s about 320K for N2 and about 20K for helium. So if you’re doing experiments at 300K, you’ll be (far) above the Boyle temperature for helium but still below the Boyle temperature for a gas like N2.
 
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FAQ: Why does the pressure-volume-constant of Helium increase?

Why does the pressure-volume-constant of Helium increase at low temperatures?

The pressure-volume-constant of Helium increases at low temperatures due to its unique properties as a gas. Helium has a very low boiling point and it becomes a liquid at temperatures close to absolute zero. At these low temperatures, the particles of Helium are closer together and have less kinetic energy, leading to a decrease in volume. However, the pressure remains constant, resulting in an increase in pressure-volume-constant.

How does the atomic structure of Helium contribute to the increase in pressure-volume-constant?

The atomic structure of Helium plays a key role in its increase in pressure-volume-constant. Helium has a single electron in its outer shell, making it a noble gas with a stable electron configuration. This stable configuration results in weaker intermolecular forces between Helium atoms, allowing them to compress more easily at low temperatures, leading to an increase in pressure-volume-constant.

What effect does the size of Helium atoms have on its pressure-volume-constant?

The small size of Helium atoms is another factor that contributes to the increase in pressure-volume-constant. Helium atoms are much smaller than other gas particles, allowing them to occupy a smaller volume at the same pressure. This means that at low temperatures, when the volume decreases, the pressure remains constant, leading to an increase in pressure-volume-constant.

How does the behavior of Helium differ from other gases in terms of pressure-volume-constant?

The behavior of Helium is unique compared to other gases when it comes to pressure-volume-constant. Most gases follow the ideal gas law, which states that at constant temperature, pressure and volume are inversely proportional. However, Helium deviates from this law at low temperatures due to its atomic structure and small size, resulting in an increase in pressure-volume-constant.

Can the increase in pressure-volume-constant of Helium be observed in everyday life?

Yes, the increase in pressure-volume-constant of Helium can be observed in everyday life. For example, helium balloons tend to shrink in size when exposed to cold temperatures, while the pressure inside remains constant. This is due to the decrease in volume of the helium gas, resulting in an increase in pressure-volume-constant.

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