Confused About Isotherms: Graph of Methane Volume vs Pressure

AI Thread Summary
The discussion revolves around the confusion regarding the relationship between pressure and volume in an isothermal gas experiment. The original poster questions whether pressure or volume should be treated as the independent variable when graphing their data, given that they have only studied isotherms where volume is typically considered independent. Participants clarify that in an isothermal process, changing pressure will indeed affect volume, and both variables can be plotted correctly on a graph. They emphasize that Boyle's Law indicates that pressure and volume are inversely proportional, correcting a misunderstanding about their relationship. The conversation concludes with a consensus that both approaches to graphing the data are valid, as the isothermal condition allows for the measurement of one variable while manipulating the other.
MotoPayton
Messages
96
Reaction score
0
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
 
Chemistry news on Phys.org
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!
 
Back
Top