Nonlinear gas volume/pressure relationship

In summary, the conversation discusses the relationship between gas volume and pressure, specifically focusing on non-linear relationships in real gases. The Van der Walls gas equation, which includes constants for inter-molecular forces and gas atom volume, is mentioned as an explanation for this type of relationship. The conversation also mentions the possibility of gas particles being charged and the use of graphs to study gas behavior. It is suggested to refer to a textbook on real gases for further understanding.
  • #1
stargazer_iq
6
0
is there a gas which its volume increases nonlinearly with decrease in pressure?
 
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  • #2
A non-linear relation is in fact the most common in practical cases ('real gases', they are called).
A modified equation of the ideal gas equation exists which explains this (it's called the 'Van der Walls gas equation):

(P + an^2/V)(V - nb) = nRT

Here, a and b are constants. 'a' accounts for inter-molecular forces, and 'b' accounts for the volume of the gas atoms themselves.
 
  • #3
A non-linear relation would imply that the inter-molecular forces increase rapidly with compression, and, this is possible if the gas particles are charged...is that the kind of thing you have on your mind??
 
  • #4
thanks a lot!
is there a table of gas names and their volume pressure values?
 
  • #5
I don't know about a table (you could probably find one if you searched on the net enough anyways), but you will be ale to find plenty of graphs plotting P versus V for various gases at different temperatures.
But these probably wouldn't help you too much - because they are inversely proportional, you should be getting a rectangular hyperbola in an ideal case, and the little deviations that would occur for a real gas would not be noticeable, especially because of the peculiar shape of the graph...
A better graph would be one which plots compressibility (represented by the variable 'Z') versus pressure. Now this is a graph from which you can learn a lot, and you can clearly see major deviations of real gases from an ideal case. There's a lot you can learn from this, and it's really extensive, so I suggest you search for it on the net. In fact, if you could log on to ncert.nic.in
That's the website from which you can access all the textbooks used in India for all grades. In Grade 11's Chemistry (Part I) textbook, read the sections on 'Real Gases' in the fifth chapter (titled 'States of Matter')...that should help you a lot - they've written about the stuff really well...


Hope this helps!
 

1. What is the Nonlinear gas volume/pressure relationship?

The nonlinear gas volume/pressure relationship is a concept in physics that describes how the volume of a gas changes as its pressure is altered. Unlike in ideal gases, the volume of real gases does not change linearly with pressure, and this relationship is affected by factors such as temperature and the type of gas.

2. How does temperature affect the Nonlinear gas volume/pressure relationship?

Temperature plays a significant role in the nonlinear gas volume/pressure relationship. As temperature increases, the volume of a gas also increases, causing the pressure to decrease. This is because the molecules in the gas have more kinetic energy and move faster, leading to more collisions with the container walls and exerting less pressure.

3. Why is the Nonlinear gas volume/pressure relationship important?

The nonlinear gas volume/pressure relationship has several practical applications, such as in gas laws, scuba diving, and gas storage. It also helps us understand the behavior of real gases and how they differ from ideal gases.

4. How is the Nonlinear gas volume/pressure relationship different from the Ideal gas law?

The Ideal gas law assumes that the volume of a gas is directly proportional to its pressure at a constant temperature, resulting in a linear relationship. However, the nonlinear gas volume/pressure relationship takes into account the effects of temperature and the type of gas, resulting in a more accurate description of the behavior of real gases.

5. Can the Nonlinear gas volume/pressure relationship be observed in everyday life?

Yes, the nonlinear gas volume/pressure relationship can be observed in everyday life. For example, when you inflate a balloon, the pressure inside increases, causing the volume to expand. Similarly, when you open a soda bottle, the decrease in pressure causes the gas to expand, leading to the formation of bubbles.

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