Relationship btw volume and temperature of an ideal gas

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SUMMARY

The discussion revolves around the relationship between volume and temperature of an ideal gas, specifically using the ideal gas law PV = nRT. Participants explore the implications of a massless piston with friction, noting that volume (V) is directly proportional to temperature (T) under ideal conditions. Key questions include identifying variables, determining the slope of a V vs. T graph, calculating the number of moles of gas, and using these values to find pressure. Clarity in problem wording is emphasized for better understanding.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Basic knowledge of graphing relationships in physics
  • Familiarity with concepts of pressure, volume, and temperature in thermodynamics
  • Ability to perform calculations involving moles of gas
NEXT STEPS
  • Study the derivation and applications of the ideal gas law (PV = nRT)
  • Learn how to graph linear relationships and interpret slopes in physics
  • Explore the concept of moles and molar volume in gas calculations
  • Investigate the effects of friction on gas behavior in confined spaces
USEFUL FOR

Students in physics or chemistry courses, educators teaching thermodynamics, and anyone interested in understanding the behavior of gases under varying conditions.

n.hirsch1
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Homework Statement


The is a piston the is massless and moves with friction
A) assuming that out gas is ideal, we will get v = constant T. What are your variables in this case?
B) If you plot V vs T on a graph, what is the slop of your graph?
C) What is the number of moles for this gas?
D) Using the numbers of moles and slope, determine pressure.


Homework Equations


PV = nRT?


The Attempt at a Solution


Once again, this is from my physics TA and I have no clue how to approach it. The only thing I could think of is that he is implying that we are supposed to use PV = nRT, since then v is directly proportionate to T. I am not sure how to use this to determine the number of moles, unless I am supposed to assume 1?
I guess my question is how would you approach this? I am not really sure what it is asking for.
 
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n.hirsch1 said:

Homework Statement


The is a piston the is massless and moves with friction
A) assuming that out gas is ideal, we will get v = constant T. What are your variables in this case?
B) If you plot V vs T on a graph, what is the slop of your graph?
C) What is the number of moles for this gas?
D) Using the numbers of moles and slope, determine pressure.
The way you have worded things is rather confusing. For example,

"The is a piston the is massless and moves with friction"​

makes very little sense.

Okay, I understand that there is some gas inside a piston. And there is friction? Or did you mean to say frictionless?

I think you'll have to explain/write the problem more carefully, and proofread the spelling and grammar. If you spot errors after submitting a post, please edit it with corrections.
 

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