Two monatomic ideal gases are in thermal equilibrium with ea

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Two monatomic ideal gases, A and B, are in thermal equilibrium, with gas A having molecules of mass m and gas B with mass 4m. The average translational kinetic energies of the gases are equal when in thermal equilibrium, despite the difference in mass, leading to the conclusion that KA/KB equals one. Temperature is defined as a measure of heat or cold, reflecting internal energy changes, and is proportional to the average kinetic energy of particles. Heavier particles in gas B move slower, but both gases maintain the same average kinetic energy at equal temperatures. Understanding these principles clarifies the relationship between temperature, kinetic energy, and mass in 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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