Two monatomic ideal gases are in thermal equilibrium with ea

In summary, the ratio of the average translational kinetic energies of two monatomic ideal gases in thermal equilibrium with each other is 1/4 due to the difference in mass of their constituent particles. Temperature is a measurement of how heat or cold an object is and is proportional to the average kinetic energy of the constituent particles. In thermal equilibrium, the change in temperature (delta T) is equal to the change in internal energy (delta Einternal). The kinetic theory states that temperature is also proportional to the average kinetic energy of the random microscopic motions of the constituent particles.
  • #1
Any Help
79
2

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?
 
Physics news on Phys.org
  • #2
What is temperature? What does it mean to be in thermal equilibrium?
 
  • #3
phyzguy said:
What is temperature? What does it mean to be in thermal equilibrium?
it means delta T=0 then delta Einternal=0
 
  • #4
Any Help said:
it means delta T=0 then delta Einternal=0

You didn't answer my question about what is temperature.
 
  • #5
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?
 
  • #6
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."
 
  • #7
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
 
  • #8
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.
 
  • Like
Likes Any Help
  • #9
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
 

1. What is thermal equilibrium?

In thermodynamics, thermal equilibrium refers to a state in which two or more systems have reached the same temperature and there is no net transfer of heat between them.

2. How do monatomic ideal gases behave in thermal equilibrium?

Monatomic ideal gases in thermal equilibrium behave according to the Ideal Gas Law, which states that the pressure, volume, and temperature of the gas are all directly proportional to each other.

3. What happens to the kinetic energy of gas molecules in thermal equilibrium?

In thermal equilibrium, the kinetic energy of gas molecules is equalized between the two gases, meaning that they have the same average speed and therefore the same kinetic energy.

4. How does the number of particles affect thermal equilibrium?

The number of particles does not affect thermal equilibrium, as long as the gases are in the same temperature and pressure. This is because thermal equilibrium is based on the energy and not the number of particles.

5. What factors can disrupt thermal equilibrium?

Thermal equilibrium can be disrupted by changes in temperature or pressure, as well as the addition or removal of energy through heat transfer. Changes in volume or the addition of new particles can also disrupt thermal equilibrium.

Similar threads

  • Introductory Physics Homework Help
Replies
16
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
610
  • Introductory Physics Homework Help
Replies
7
Views
858
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
946
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
32
Views
1K
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
16
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
2K
Back
Top