Confused About Isotherms: Graph of Methane Volume vs Pressure

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Discussion Overview

The discussion revolves around the understanding of isotherms in the context of an experiment measuring the volume of methane gas at various pressures while keeping the temperature constant. Participants explore the relationship between pressure and volume, questioning the independence and dependence of these variables in an isothermal process.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about whether pressure or volume should be treated as the independent variable in the context of isotherms.
  • Another participant explains that pressure can be changed by applying different forces to a piston, allowing for volume measurement based on piston position.
  • A question is raised about the order of operations in a PV graph, specifically whether one should change volume first or pressure first.
  • It is noted that in an isothermal process, changing pressure typically involves a corresponding change in volume, but the exact relationship is debated.
  • Gas laws are referenced, with one participant attempting to clarify the relationship between pressure and volume, although a correction is made regarding the nature of their proportionality.
  • Another participant acknowledges a mistake regarding the relationship between pressure and volume, indicating an ongoing refinement of understanding.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the treatment of pressure and volume as independent or dependent variables, and there is no consensus on the order of operations in the context of isothermal processes. Some participants assert that both plots (pressure vs. volume) are valid, while others challenge the clarity of the relationships involved.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the gas laws and the specific conditions of the isothermal process, which are not fully resolved. The nature of the relationships between pressure, volume, and temperature remains a point of contention.

MotoPayton
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I have a basic question on my prelab. The professor wants us to make a graph of of a experiment where the volume of methane gas was measured at various pressures. The temperature is held constant. She gives us data for this experiment and wants us to make a graph for it as practice.

I can dot the graph but is this correct? I have studied isotherms in the past and I have never heard of being able to change pressure and measure volume from it? I thought the volume was the independent set and pressure was dependent? I am confused

Thanks
 
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Take cylinder and piston. Apply different forces. Pressure inside is a simple function of the force. You can measure volume from the piston position. Where is the problem?
 
Can you change the pressure on a system and then measure the resultant change in volume? My question is wether the order matters in PV graph

Do you either
1) Change volume
2) measure pressure

or the opposite way
1)change pressure
2) measure volume

Because isn't it impossible to change the pressure without touching the volume in an isothermic process?
 
MotoPayton said:
Can you change the pressure on a system and then measure the resultant change in volume?

Yes, as I explained to you in my previous post.

Do you either
1) Change volume
2) measure pressure

I can't think of a way to change the volume not by changing the pressure. But it doesn't matter much. Isotherm is described by pV=const. Both plots are correct. You don't have to change the volume - you may know the volume and be interested in what the pressure is.
 
Borek said:
I can't think of a way to change the volume not by changing the pressure.

Allright cool that answers my question.
Thanks
 
Recall the gas laws:

Boyle's Law states:
P\alphaV (The pressure of a gas is proportional to its volume and vice versa.)
Avogadro's Law states:
V\alphan (The volume of a gas is proportional to its amount (in moles) and vice versa.)
Charle's Law states:
V\alphaT (The volume of a gas is proportional to its temperature and vice versa.)
Gay-Lussac's Law states:
P\alphaT (The pressure of a gas is proportional to its temperature and vice versa.)

From these gas laws, you can derive the combined gas law equation:

\frac{P1V1}{n1T1} = \frac{P2V2}{n2T2}

..and since the process you were observing was isothermic (and assuming that no gas was added or removed), the equation will simplify to:

P1V1 = P2V2 where any change in pressure will result in a change in volume and vice versa.

Hopefully, in addition to Borek's replies, this will add a little bit more insight. :)
 
jtabije said:
Recall the gas laws:

Boyle's Law states:
P\alphaV (The pressure of a gas is proportional to its volume and vice versa.)


Actually, you have this one wrong...pressure and volume are inversely proportional, not directly proportional.
 
PhaseShifter said:
Actually, you have this one wrong...pressure and volume are inversely proportional, not directly proportional.

Well, isn't that embarrassing on my part? Thanks for the correction!
 

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