Constant term in the adiabatic equation

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SUMMARY

The discussion centers on the constant term in the reversible adiabatic equation, expressed as PV^(gamma) = constant. Participants clarify that while the term is a constant, it is influenced by initial conditions, specifically the initial pressure (P1) and volume (V1). The relationship indicates that during an adiabatic process, the product of pressure and volume raised to the power of gamma remains unchanged, despite the constant's dependence on specific parameters like temperature and specific heat.

PREREQUISITES
  • Understanding of adiabatic processes in thermodynamics
  • Familiarity with the ideal gas law
  • Knowledge of the concept of specific heat
  • Basic grasp of mathematical equations involving constants
NEXT STEPS
  • Study the derivation of the adiabatic equation PV^(gamma) = constant
  • Research the role of specific heat in thermodynamic processes
  • Explore the implications of the first law of thermodynamics on adiabatic processes
  • Learn about the differences between reversible and irreversible adiabatic processes
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Students and professionals in thermodynamics, engineers working on heat transfer systems, and anyone interested in the principles of adiabatic processes in physics and engineering.

mechgen
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Hi there! I am working on a project that requires some idea of adiabatic processes. I know the basics of the said topic and I'm currently stuck with the reversible adiabatic equation PV^(gamma)=constant.. and want to know what is the constant term i.e. on what parameters it depends and what is its mathematical equation? Kindly help me if you can...
 
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It is a constant,right.Then why should it depend on anything.
 
PV^{\gamma}=P_1V_1^{\gamma}

where P1 and V1 are the initial pressure and volume.
 
It is a constant,right.Then why should it depend on anything.

well as far as I know...a constant term doesn't mean that it doesn't depend on any other parameter. Take the ebullioscopic constant for instance..that depends on certain values of specific heat and and the temperature etc... I hope you get my point!
 
well,for adiabatic process it means that if system is going under adiabatic change then that Pv^gamma would not change.
 

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