About a mixture of gases and the equilibrium distribution

Click For Summary
SUMMARY

The discussion centers on the application of the Maxwell-Boltzmann distribution to mixtures of dilute gases. It concludes that when no chemical reactions occur between the gases, the equilibrium distribution can be derived by applying the distribution to each gas species independently and then summing the results. This approach maintains the integrity of the Maxwell-Boltzmann framework while accommodating multiple gas species. The discussion emphasizes the universality of the Boltzmann distribution in describing gas mixtures at equilibrium.

PREREQUISITES
  • Understanding of Maxwell-Boltzmann distribution
  • Knowledge of gas laws and thermodynamics
  • Familiarity with concepts of chemical equilibrium
  • Basic principles of statistical mechanics
NEXT STEPS
  • Research the implications of the Maxwell-Boltzmann distribution in multi-component gas systems
  • Study the principles of chemical equilibrium in non-reactive gas mixtures
  • Explore statistical mechanics applications in thermodynamic systems
  • Examine case studies of gas mixtures and their equilibrium properties
USEFUL FOR

This discussion is beneficial for physicists, chemists, and students studying thermodynamics and statistical mechanics, particularly those interested in the behavior of gas mixtures at equilibrium.

luisgml_2000
Messages
42
Reaction score
0
Hello:

I've been reading about the Maxwell Boltzmann distribution for a dilute gas. One of the hypotheses to get this result is that there is only a chemical species within the box, but what would happen if you put a mixture of gases, say two or three, each of which is very dilute and you waited enough time for the system to reach the equilibrium?

Since the Boltzmann distribution is a universal function, I think that the equilibrium distribution function for the gas mixture will be very similar to the case of a single gas, but I can't find an argument for it.

Thanks for your attention!
 
Science news on Phys.org
If there are no chemical reactions between gases, you can apply the hypotheses to each species in the mixture separatedly. Anh then you add them up.
 

Similar threads

Graduate Resolve Discrepancies in Boltzmann's Equilibrium Theory
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Equilibrium, entropy, probability - Release of constraints
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Identification of changes in internal energy with work (in Callen's Thermodynamics)
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Empirical temperature scales using different thermometers
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Liquid-gas phase transition: metastable mixed states?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Relativistic Effects on Particles and Gases
  • · Replies 18 ·
Replies
18
Views
4K
Graduate Boltzmann distribution and the number of molecules with a certain velocity
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Velocity distribution of particles in an arbitrary-arrangement of rotating gases
  • · Replies 1 ·
Replies
1
Views
2K
Two-bulb experiment for measuring gas diffusivity
  • · Replies 5 ·
Replies
5
Views
5K
Questions about deriving the Maxwell-Boltzmann Distribution
  • · Replies 6 ·
Replies
6
Views
5K