Why Do Volume-Temperature Curves of Ideal Gases Intersect at Absolute Zero?

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SUMMARY

The volume-temperature curves of ideal gases intersect at absolute zero due to the relationship between temperature and average kinetic energy. As the size of gas particles approaches zero in a theoretical model, the behavior aligns with Charles's Law, indicating that the average kinetic energy of gas particles is zero at absolute zero. While these models are approximations and do not perfectly represent real gases, they provide valuable insights into gas behavior under ideal conditions.

PREREQUISITES
  • Understanding of Charles's Law
  • Familiarity with kinetic theory of gases
  • Basic knowledge of thermodynamics
  • Concept of absolute zero in physics
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  • Study the implications of Charles's Law in real gas behavior
  • Explore the kinetic theory of gases in detail
  • Investigate the concept of absolute zero and its significance in thermodynamics
  • Examine deviations of real gases from ideal gas behavior
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Students of physics, educators teaching thermodynamics, and researchers interested in gas behavior and thermodynamic principles.

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Why do all the volume temperature curves of an ideal gas intersect at the same point on the temperature axis ?
 
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If you decide to model a gas as a large collection of tiny balls in a large otherwise empty space then, as you reduce the ball size toward zero you get the behavior of an ideal gas.

If you decide to model temperature as the average kinetic energy per ball in such an arrangement then you get the Charles law. The zero point on the temperature scale is the point where the average kinetic energy per ball is zero.

Neither model is exactly correct for real gasses. But they are good approximations for many purposes.
 
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