Isothermal Compressibility of Photon Gas

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SUMMARY

The discussion centers on the challenges of deriving the equation for volume (V) of a photon gas with respect to pressure (P) and temperature (T). The original poster struggles with the complexity of the equation, which lacks a straightforward form for differentiation. Participants suggest focusing on the fundamental relationships governing photon gas behavior, particularly the equation of state and its implications for compressibility.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically the behavior of gases.
  • Familiarity with the equation of state for photon gases.
  • Knowledge of calculus, particularly differentiation techniques.
  • Basic concepts of isothermal processes in physics.
NEXT STEPS
  • Research the equation of state for photon gases and its derivation.
  • Study the concept of isothermal compressibility in thermodynamics.
  • Learn about the relationship between pressure, volume, and temperature in ideal gases.
  • Explore advanced calculus techniques for handling complex equations.
USEFUL FOR

Students and researchers in physics, particularly those studying thermodynamics and statistical mechanics, as well as anyone interested in the properties of photon gases and their compressibility.

fricke
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I am really stuck at this question.

I tried to get the equation of volume with independent variables P and T, but the equation itself does not give a nice form, and thus I cannot get the derivative of V with respect to P. What should I do?
 
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What is the non-nice equation you got?
 

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