How Does Intermolecular Potential Energy Behave in Ideal and Real Gases?

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SUMMARY

The discussion clarifies the behavior of intermolecular potential energy in ideal and real gases. In the kinetic model of an ideal gas, the intermolecular potential energy is constant and equal to zero, as there are no intermolecular forces acting on the molecules. In contrast, real gases exhibit varying intermolecular potential energy due to the presence of intermolecular forces, which depend on the specific gas, such as significant forces in H2O compared to negligible forces in He. The misconception regarding momentum in ideal gases is also addressed, emphasizing that momentum is not constant due to continuous collisions and directional changes of gas molecules.

PREREQUISITES
  • Understanding of the kinetic molecular theory of gases
  • Familiarity with concepts of potential and kinetic energy
  • Knowledge of elastic collisions in physics
  • Basic principles of intermolecular forces
NEXT STEPS
  • Study the differences between ideal and real gases in thermodynamics
  • Explore the role of intermolecular forces in different states of matter
  • Learn about the Van der Waals equation for real gases
  • Investigate the implications of elastic collisions in gas behavior
USEFUL FOR

Students studying thermodynamics, physicists exploring gas behavior, and educators teaching the principles of kinetic molecular theory.

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Homework Statement


In the kinetic model of an ideal gas, it is assumed that:
A. The forces between the gas and the container are zero
B. The intermolecular potential energy of the molecules of the gas is constant.
C. The kinetic energy of a given gas molecule is constant
D. The momentum of a given molecule of the gas is constant

Homework Equations

The Attempt at a Solution


I chose D, because collisions of ideal gases are perfectly elastic, but the answer was B. I wanted to know whether this answer means that for real gases, the intermolecular potential energy is not constant. [/B]
 
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B is correct. Intermolecular potential energy is 0 for an ideal gas. The kinetic model for an ideal gas assumes that the molecules are point masses and that there are no intermolecular forces. If there were intermolecular forces one would have to take into account potential energy (as a function of intermolecular distances). For real gases there may or may not be intermolecular forces. For example, there are significant intermolecular forces between H2O molecules but not for He.

AM
 
Last edited:
D is not correct because molecules are constantly colliding and changing direction. Momentum is a vector quantity
 

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