Thermal coefficient of expansion in gases

Click For Summary
SUMMARY

The thermal coefficient of expansion in gases is defined as γ=1/273, which relates the change in volume (ΔV) to the initial volume (V[initial]) and the change in temperature (ΔΘ) according to the formula ΔV = γ⋅V[initial]⋅ΔΘ. This value is derived from the ideal gas law and can be confirmed through experimental data that shows a linear relationship between volume and temperature at constant pressure. The extrapolated temperature of -273 Celsius corresponds to zero volume for gases, establishing the basis for the absolute temperature scale.

PREREQUISITES
  • Understanding of the ideal gas law
  • Basic knowledge of thermal expansion concepts
  • Familiarity with volume and temperature relationships in gases
  • Introduction to experimental methods in physics
NEXT STEPS
  • Research the ideal gas law and its applications
  • Study the concept of thermal expansion in different states of matter
  • Explore the derivation of absolute temperature scales
  • Examine experimental methods for measuring gas properties
USEFUL FOR

Students beginning their studies in physics, particularly those interested in thermodynamics and gas behavior, as well as educators seeking to explain the principles of thermal expansion and the ideal gas law.

Vittorio
Messages
4
Reaction score
0
I know that the variation in a gas' volume is equal to ΔV = γ⋅V[initial]⋅ΔΘ with ΔΘ the variation in temperature and γ=1/237 the thermal coefficient of expansion in gases. Could someone please explain to me why γ=1/237 please ?
Thanks a lot,
V
 
Science news on Phys.org
Never seen this before. Do you have a source?
 
Vittorio said:
I know that the variation in a gas' volume is equal to ΔV = γ⋅V[initial]⋅ΔΘ with ΔΘ the variation in temperature and γ=1/237 the thermal coefficient of expansion in gases. Could someone please explain to me why γ=1/237 please ?
Thanks a lot,
V
From the ideal gas law, what is the derivative of volume with respect to temperature at constant pressure? (Are you sure about that 237, or should it be 273?)
 
Yes, sorry, I meant 273. My phycs teacher told me this, but I hadn't quite understood. Thanks a lot.
 
Vittorio said:
Yes, sorry, I meant 273. My phycs teacher told me this, but I hadn't quite understood. Thanks a lot.
What about my other question?
 
I haven't learned about derivatives yet.
 
Vittorio said:
I haven't learned about derivatives yet.
Are you familiar with the ideal gas law?
 
I think - a perfect gas is a gas in which there are no chemical reactions between the molecules. I'm not sure, I'm just starting to learn about gases and expansion etc.
 
For your background it may be more useful to read about the experimental side of the thermal expansion. The 273 value can be determined by extrapolating experiments on gases, as described in section 17.4 of the link below:

http://www.farmingdale.edu/faculty/peter-nolan/pdf/UPCh17.pdf

If you plot the volume versus temperature at constant pressure, you get a straight line which will correspond to zero volume for a temperature of about -273 Celsisus.
The nice thing is that this extrapolated temperature is about the same for all gases (exactly the same for ideal gases, of course). So this led to the definition of an "absolute" temperature scale.
 
  • #10
Vittorio said:
I think - a perfect gas is a gas in which there are no chemical reactions between the molecules. I'm not sure, I'm just starting to learn about gases and expansion etc.
Google "Ideal Gas Law"
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
16K
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 10 ·
Replies
10
Views
25K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K