Maxwell-Boltzman Distribution for Ideal Gases (Thermodynamics)

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SUMMARY

The discussion focuses on determining the minimum volume required for a gas to exhibit a Maxwell-Boltzmann distribution at standard conditions of 1 atm and 273.15 K. A participant highlights the necessity of having at least 10^6 molecules to establish this distribution, emphasizing the relationship between the number of molecules and the volume. The conversation underscores the importance of understanding the ideal gas law in this context, particularly regarding the conditions under which the Maxwell-Boltzmann distribution can be accurately applied.

PREREQUISITES
  • Understanding of the Maxwell-Boltzmann distribution
  • Familiarity with the ideal gas law
  • Knowledge of thermodynamic principles
  • Basic concepts of molecular kinetics
NEXT STEPS
  • Research the derivation of the Maxwell-Boltzmann distribution
  • Study the ideal gas law and its applications
  • Explore the relationship between molecular density and gas behavior
  • Examine conditions for statistical mechanics in thermodynamics
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Students and professionals in thermodynamics, physicists, and anyone studying the behavior of ideal gases and statistical mechanics.

eliassiguenza
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I just have a question of this subject, it is a pretty straight forward concept, however there are things that i just can;t figure out, like in any given gas which is the minimum volume required to have a maxwell Boltzmann distribution, @ 1 atm 273.15 K ? I honestly just can't figure it out... can someone please help me ? i don't know where to even start, please don't give me the answer i just want to accquire the rationale!



=) thanks in advanced!
 
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eliassiguenza said:
I just have a question of this subject, it is a pretty straight forward concept, however there are things that i just can;t figure out, like in any given gas which is the minimum volume required to have a maxwell Boltzmann distribution, @ 1 atm 273.15 K ? I honestly just can't figure it out... can someone please help me ? i don't know where to even start, please don't give me the answer i just want to accquire the rationale!
Why do you think there is a minimum volume to have a Maxwell-Boltzmann distribution? Would it not depend on the number of molecules per unit volume rather than just volume? Do you think there would be a clear limit (eg. no. of molecules per unit volume) below which no MB distribution is possible but above which there is?

AM
 
yeah sorry i postulated wrong, here it is what i meant, 10^6 molecules are needed to establish a Maxwell-Boltzmann distribution, what is the minimum volume for the ideal gas law to hold @ 1atm and 0 C.

The thing is that i didn't want to post the problem I really need to think it by myself i just wanted a bit of guidance, I have a test on this next wed, so i really want to learn it!

so yeah that's what i meant.. I still have no clue.. :s

thank you! =)
 

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