The elastic collisions of gas

In summary, an elastic collision is a type of collision between gas particles where there is no loss of kinetic energy. The elasticity of a collision is determined by the coefficient of restitution, which is a ratio of the relative velocities before and after the collision. Factors such as temperature, pressure, and particle size and shape can affect the elastic collisions of gas particles. These collisions are crucial in the behavior of gases, as they cause expansion, contraction, and pressure. While all gas particles can theoretically undergo elastic collisions, in reality, there may be some loss of kinetic energy due to other factors.
  • #1
Forestman
212
2
I have read that when a gas atom or molecule collides with the wall of a container that the collision is completely elastic, and that the gas particle has the same energy after the collision as it did before the collision. I don't understand how it could transfer pressure to the container wall if it did not lose energy though.
 
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  • #2
Pressure being transferred doesn't mean work is being done.

For work to be done there should be a pressure along with a volume change.
 
  • #3


Elastic collisions in gases are a fundamental concept in the study of thermodynamics and fluid mechanics. The idea that gas particles maintain their energy after colliding with the walls of a container is a fundamental principle in understanding the behavior of gases.

To understand this concept, we must first understand the concept of pressure in gases. Pressure is the force exerted by gas particles on the walls of a container. In an elastic collision, the gas particle does not lose energy, but it does change direction. This change in direction results in a transfer of momentum to the container wall, creating a force and thus, pressure.

Think of it like a game of billiards. When a billiard ball collides with another ball, it transfers its momentum to the other ball, causing it to move. Similarly, when a gas particle collides with the wall of a container, it transfers its momentum to the wall, causing it to exert a force and thus, pressure.

In an ideal gas, where the particles are considered to be point masses with no intermolecular forces, the collisions are perfectly elastic. This means that the total kinetic energy of the gas particles remains constant, and no energy is lost during collisions.

In real gases, there may be some energy loss due to intermolecular forces or non-ideal behavior, but the overall concept of elastic collisions still applies. The gas particles still transfer momentum to the container walls, creating pressure.

In conclusion, the concept of elastic collisions in gases is crucial in understanding the behavior of gases and the transfer of pressure to container walls. While it may seem counterintuitive that a particle can transfer momentum without losing energy, it is a fundamental principle that has been observed and studied extensively in the field of thermodynamics.
 

1. What is an elastic collision?

An elastic collision is a type of collision between two or more gas particles in which there is no loss of kinetic energy. This means that the total kinetic energy of the particles before and after the collision remains the same.

2. How is the elasticity of a collision determined?

The elasticity of a collision is determined by the coefficient of restitution, which is a ratio of the relative velocities of the particles before and after the collision. An elastic collision has a coefficient of restitution of 1, indicating no loss of kinetic energy.

3. What factors affect the elastic collisions of gas particles?

The elastic collisions of gas particles can be affected by factors such as temperature, pressure, and the size and shape of the particles. Higher temperatures and pressures can increase the frequency and intensity of collisions, while larger or more irregularly shaped particles may result in less elastic collisions.

4. How do elastic collisions contribute to the behavior of gases?

Elastic collisions play a crucial role in the behavior of gases, as they are responsible for the transfer of kinetic energy between particles. This transfer of energy is what causes gases to expand, contract, and exert pressure.

5. Can all gas particles undergo elastic collisions?

In theory, all gas particles can undergo elastic collisions. However, in reality, there may be some loss of kinetic energy due to factors such as intermolecular forces and collisions with other particles or surfaces. Therefore, truly elastic collisions may be more of an ideal concept than a reality.

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