Relationship between internal energy and PE and KE

In summary, the conversation discusses the concept of heating and the increase in internal kinetic energy of molecules as a result. It also touches on the role of internal potential energy in this process and the behavior of molecules in an ideal gas versus a non-ideal gas. It is noted that while molecules in an ideal gas do not actually collide, they do experience a repulsive force when they get close enough, which is referred to as a "collision."
  • #1
influx
164
2
Hi,

Firstly, I'd like to thank PhysicsForums and its members for helping me during my last couple of visits (around 7 months ago). With your help I managed to achieve an A at AS Physics (a UK exam)!

I am doing some basic concepts on internal energy etc and I came across the following:

''Heating is when energy is transferred between two objects due to a temperature difference. For example, if you put your cold hand on a warm radiator, energy is transferred from the radiator to your hand. This increases the internal kinetic energy of the molecules of your hand and so your hand warms up.''

So when you heat something up, the internal kinetic energy increases (and therefore the temperature does) but what happens to the internal potential energy? Could someone explain in basic terms?

Also:

''As 2 molecules in an ideal gas approach each other, the repulsive forces between the molecules slow them down until momentarily both are stationery. ''

So do the molecules actually collide with each other or not? Also, since the above describes what happens in an ideal gas, could someone explain what happens in a non-ideal gas (if there is such a thing?)

Thanks :)
 
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  • #2
influx said:
Hi,

Firstly, I'd like to thank PhysicsForums and its members for helping me during my last couple of visits (around 7 months ago). With your help I managed to achieve an A at AS Physics (a UK exam)!

I am doing some basic concepts on internal energy etc and I came across the following:

''Heating is when energy is transferred between two objects due to a temperature difference. For example, if you put your cold hand on a warm radiator, energy is transferred from the radiator to your hand. This increases the internal kinetic energy of the molecules of your hand and so your hand warms up.''

So when you heat something up, the internal kinetic energy increases (and therefore the temperature does) but what happens to the internal potential energy? Could someone explain in basic terms?

I have never heard of "internal potential energy" of atoms/molecules.

Also:

''As 2 molecules in an ideal gas approach each other, the repulsive forces between the molecules slow them down until momentarily both are stationery. ''

So do the molecules actually collide with each other or not? Also, since the above describes what happens in an ideal gas, could someone explain what happens in a non-ideal gas (if there is such a thing?)

Thanks :)

Not sure about the molecules colliding or not (looks like no), but yes there are non-ideal gases. Like, all of them! An ideal gas does not exist but gases at low pressure approximate the equation of state of an ideal gas very nearly, greatly simplifying computations.
 
  • #3
influx said:
Hi,

Firstly, I'd like to thank PhysicsForums and its members for helping me during my last couple of visits (around 7 months ago). With your help I managed to achieve an A at AS Physics (a UK exam)!

I am doing some basic concepts on internal energy etc and I came across the following:

''Heating is when energy is transferred between two objects due to a temperature difference. For example, if you put your cold hand on a warm radiator, energy is transferred from the radiator to your hand. This increases the internal kinetic energy of the molecules of your hand and so your hand warms up.''

So when you heat something up, the internal kinetic energy increases (and therefore the temperature does) but what happens to the internal potential energy? Could someone explain in basic terms?

Also:

''As 2 molecules in an ideal gas approach each other, the repulsive forces between the molecules slow them down until momentarily both are stationery. ''

So do the molecules actually collide with each other or not? Also, since the above describes what happens in an ideal gas, could someone explain what happens in a non-ideal gas (if there is such a thing?)

Thanks :)

In the case of an ideal gas, the molecules are far enough apart that the potential energy due to binary interactions (i.e, repulsive forces) between molecules is negligible, and the internal energy is dominated by kinetic energy. For non-ideal gases, the molecules are close enough together that the potential energy of the molecular interactions makes a significant contribution to the internal energy.

The repulsive force when two molecules get very close to each other is sufficiently high that they don't actually touch, even if they approach each other at high speed. Still, this is referred to as a "collision."
 
  • #4
From this video, molecules don't actually touch but get repelled with a large force and so it's a collision.
 
  • #5


I can explain the relationship between internal energy, potential energy, and kinetic energy in simple terms. Internal energy is the total energy of a system, which includes both kinetic energy (energy of motion) and potential energy (energy due to position or configuration). In the example of heating, the internal energy of your hand increases as energy is transferred from the warm radiator. This increase in internal energy can be seen as an increase in both kinetic energy (the molecules in your hand move faster) and potential energy (the molecules are now in a higher energy state).

In an ideal gas, the molecules do not collide with each other, but rather they move freely and do not interact with each other. However, in a non-ideal gas, there are attractive and repulsive forces between the molecules, which can cause them to collide and interact with each other. This can affect the internal energy of the system and lead to deviations from ideal gas behavior.

I hope this helps to clarify the relationship between internal energy, potential energy, and kinetic energy. Keep up the good work in your studies!
 

FAQ: Relationship between internal energy and PE and KE

What is the relationship between internal energy and potential energy and kinetic energy?

The internal energy of a system is the sum of its potential energy and kinetic energy. This means that any change in internal energy must be accompanied by a corresponding change in either potential or kinetic energy, or both.

How does an increase in internal energy affect potential and kinetic energy?

An increase in internal energy can be caused by an increase in temperature, pressure, or any other form of energy added to the system. This increase in internal energy will result in an increase in both potential and kinetic energy.

What happens to the internal energy when potential and kinetic energy are equal?

When potential and kinetic energy are equal, the internal energy of the system is at its maximum. This is known as the point of equilibrium, where the system has reached a state of balance between its potential and kinetic energies.

Can internal energy be converted into potential or kinetic energy?

Yes, internal energy can be converted into potential or kinetic energy. For example, when a gas expands, its internal energy decreases and is converted into kinetic energy, causing the gas molecules to move faster.

What factors affect the relationship between internal energy and potential and kinetic energy?

The relationship between internal energy and potential and kinetic energy is affected by the type of system, the physical properties of the system, and any external forces or energy added to the system. Additionally, changes in temperature, pressure, and volume can also affect this relationship.

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