Why Temperature Depends on Internal Energy, Not Pressure/Volume

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SUMMARY

The discussion clarifies that temperature is fundamentally dependent on the internal energy of a system, particularly for ideal gases. Participants emphasized that while pressure (p) and volume (V) can influence temperature, they are not direct determinants of it. Instead, for ideal gases, internal energy is solely a function of temperature. This relationship does not hold for real gases, where internal energy can vary with pressure and volume.

PREREQUISITES
  • Understanding of ideal gas laws
  • Knowledge of thermodynamic principles
  • Familiarity with internal energy concepts
  • Basic grasp of real gas behavior
NEXT STEPS
  • Study the ideal gas law and its implications on temperature and internal energy
  • Explore the differences between ideal and real gases
  • Learn about thermodynamic properties and their interdependencies
  • Investigate the concept of compressibility in real gases
USEFUL FOR

Students of thermodynamics, physicists, and engineers interested in the principles of gas behavior and energy relationships.

Tahmeed
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Why temparature is only dependent on internal energy of something, say an ideal gas.
 
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Which other dependency would you expect?
What is "porv"? Pressure or volume? It can depend on those, depending on the setup.
 
I think he means pressure or volume. Like mfb said, it can depend on these variables, depending on the system. Usually, for a gas, any two variables out of (T, p, V) are considered as the independent variables, and other quantities, such as internal energy, or compressibility, etc., are expressed in terms of these independent variables. The internal energy depends only on temperature, for an ideal gas. This is not true for a real gas.
 

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