What is the Polytropic Exponent, n Value for a Singular Repeating Compressor?

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SUMMARY

The discussion centers on determining the polytropic exponent, n, for a singular repeating compressor, with findings indicating n ≈ 1 (specifically 1.01). This value suggests that the process can be classified as a polytropic process, as it satisfies the condition of n being greater than 0 and less than Cp/Cv. The participant questions whether the small value of n allows for the assumption of an isothermal process.

PREREQUISITES
  • Understanding of polytropic processes in thermodynamics
  • Familiarity with the ideal gas law and its applications
  • Knowledge of specific heat capacities (Cp and Cv)
  • Basic principles of compressor efficiency and performance metrics
NEXT STEPS
  • Research the characteristics of polytropic processes in thermodynamics
  • Study the implications of the polytropic exponent on compressor efficiency
  • Learn about isothermal processes and their conditions
  • Explore the relationship between Cp, Cv, and the polytropic exponent
USEFUL FOR

Mechanical engineers, thermodynamics students, and professionals involved in compressor design and analysis will benefit from this discussion.

SherlockOhms
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Homework Statement


So, after performing an experiment a number of times, to calculate the efficiency of a singular repeating compressor, I have found n ≈ 1 i.e. it equals 1.01... in all of my found values. I've now been asked to classify the type of process. Seeing as technically n > 0 and n< Cp/Cv I could classify it as a polytropic process. However, is n small enough for me to assume it's isothermal?


Homework Equations


PVn = PVn


The Attempt at a Solution

 
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