Confused About Isotherms: Graph of Methane Volume vs Pressure

Click For Summary
SUMMARY

The discussion centers on the confusion regarding the relationship between pressure and volume in isothermal processes involving methane gas. Participants clarify that in an isothermal process, pressure and volume are inversely related, as described by Boyle's Law (Pα1/V). The combined gas law is also referenced, emphasizing that changes in pressure will result in corresponding changes in volume, and vice versa, under constant temperature conditions. The conclusion is that both methods of graphing (changing pressure to measure volume or changing volume to measure pressure) are valid in the context of isotherms.

PREREQUISITES
  • Understanding of gas laws, specifically Boyle's Law, Avogadro's Law, Charles's Law, and Gay-Lussac's Law
  • Familiarity with isothermal processes in thermodynamics
  • Basic knowledge of graphing techniques in scientific experiments
  • Ability to interpret pressure-volume (PV) graphs
NEXT STEPS
  • Study the implications of Boyle's Law in real-world applications
  • Learn how to derive and apply the combined gas law in various scenarios
  • Explore the concept of isothermal processes in greater detail
  • Practice graphing pressure-volume relationships using experimental data
USEFUL FOR

This discussion is beneficial for students in chemistry or physics, particularly those studying gas laws and thermodynamics, as well as educators looking to clarify misconceptions about pressure-volume relationships in isothermal processes.

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!
 

Similar threads

Replies
14
Views
3K
  • · Replies 7 ·
Replies
7
Views
24K
Replies
6
Views
6K
  • · Replies 6 ·
Replies
6
Views
574
  • · Replies 9 ·
Replies
9
Views
9K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
11
Views
4K