Two monatomic ideal gases are in thermal equilibrium with ea

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Homework Help Overview

The discussion revolves around the behavior of two monatomic ideal gases in thermal equilibrium, specifically focusing on the relationship between their average translational kinetic energies and temperature. The gases differ in mass, with one being four times heavier than the other.

Discussion Character

  • Conceptual clarification, Assumption checking, Exploratory

Approaches and Questions Raised

  • Participants explore the definition of temperature and its implications for thermal equilibrium, questioning how mass affects kinetic energy and temperature. There are attempts to clarify the relationship between average kinetic energy and temperature, particularly in the context of gases with different molecular masses.

Discussion Status

The discussion is active, with participants raising questions about the nature of temperature and its relationship to kinetic energy. Some have provided insights from external sources, while others challenge and clarify misconceptions about the proportionality of temperature to mass and kinetic energy.

Contextual Notes

Participants are navigating definitions and concepts related to temperature and thermal equilibrium, indicating a need for clarity on these fundamental principles. There is an ongoing exploration of assumptions regarding the relationship between mass and kinetic energy in the context of ideal gases.

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Homework Statement


Two monatomic ideal gases are in thermal equilibrium with each other. Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m. The ratio of the average translational kinetic energies KA/KB is:

Homework Equations


KE=0.5xmxVavarage^2
ATTEMPTS:]
KE!/KE2 all are constants except m then it will be 1/4
but the correct answer is one why?
 
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What is temperature? What does it mean to be in thermal equilibrium?
 
phyzguy said:
What is temperature? What does it mean to be in thermal equilibrium?
it means delta T=0 then delta Einternal=0
 
Any Help said:
it means delta T=0 then delta Einternal=0

You didn't answer my question about what is temperature.
 
phyzguy said:
You didn't answer my question about what is temperature.
Temperature is a measurement of how heat or cold an object is. It reflects the delta internal energy where the change in temprature will cause a change in internal energy.
Is that what you mean?
 
From the Wikipedia article on temperature:

"The kinetic theory offers a valuable but limited account of the behavior of the materials of macroscopic bodies, especially of fluids. It indicates the absolute temperature as proportional to the average kinetic energy of the random microscopic motions of those of their constituent microscopic particles, such as electrons, atoms, and molecules, that move freely within the material."
 
phyzguy said:
From the Wikipedia article on temperature:

"The kinetic theory offers a valuable but limited account of the behavior of the materials of macroscopic bodies, especially of fluids. It indicates the absolute temperature as proportional to the average kinetic energy of the random microscopic motions of those of their constituent microscopic particles, such as electrons, atoms, and molecules, that move freely within the material."
okay, but also its proportional to mass
 
Any Help said:
okay, but also its proportional to mass

No! It's not! Temperature is proportional to the average kinetic energy of the constituent particles. So if two gases have equal temperatures, they have equal average kinetic energies. So the heavier particles are moving slower.
 
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phyzguy said:
No! It's not! Temperature is proportional to the average kinetic energy of the constituent particles. So if two gases have equal temperatures, they have equal average kinetic energies. So the heavier particles are moving slower.
ah okay I got your point thanks
 

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