Relationship between internal energy and PE and KE

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SUMMARY

The discussion focuses on the relationship between internal energy, potential energy (PE), and kinetic energy (KE) in gases, particularly distinguishing between ideal and non-ideal gases. Heating increases the internal kinetic energy of molecules, thereby raising temperature, while the potential energy remains negligible in ideal gases due to the distance between molecules. In non-ideal gases, molecular interactions contribute significantly to internal energy, and while molecules do not physically collide, they experience repulsive forces that prevent them from touching.

PREREQUISITES
  • Understanding of basic thermodynamics concepts
  • Familiarity with ideal gas laws
  • Knowledge of molecular interactions and forces
  • Basic principles of kinetic theory of gases
NEXT STEPS
  • Study the differences between ideal and non-ideal gas behavior
  • Learn about the kinetic theory of gases in detail
  • Explore the concept of internal energy in thermodynamics
  • Investigate molecular dynamics simulations for gas interactions
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and gas laws, as well as educators looking for clear explanations of internal energy concepts.

influx
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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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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.
 
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."
 
From this video, molecules don't actually touch but get repelled with a large force and so it's a collision.
 

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