Solve Isentropic Expansion: Mass 0.45 kg, 10 bar, 622°C to 331°C, 85 kJ Work

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SUMMARY

The discussion focuses on solving an isentropic expansion problem involving a perfect gas with a mass of 0.45 kg, an initial pressure of 10 bar, and an initial temperature of 622°C, which expands to 331°C while performing 85 kJ of work. The specific heat at constant volume (Cv) is sought, and the gas has a specific heat ratio (γ) of 1.41. The problem requires applying the principles of thermodynamics, particularly the relationships between pressure, temperature, and specific heats during isentropic processes.

PREREQUISITES
  • Understanding of isentropic processes in thermodynamics
  • Knowledge of specific heat capacities (Cp and Cv)
  • Familiarity with the ideal gas law
  • Basic skills in thermodynamic equations and calculations
NEXT STEPS
  • Study the derivation of the isentropic relations for ideal gases
  • Learn how to calculate specific heats (Cv and Cp) for perfect gases
  • Explore the application of the first law of thermodynamics in non-flow processes
  • Review examples of isentropic expansion problems in thermodynamics textbooks
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, particularly those tackling problems related to isentropic processes, as well as engineers and professionals working with gas expansion systems.

beeniemac
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Homework Statement


A mass of 0.45 kg of a perfect gas with a ratio of specific heats of 1.41 expands isentropically by means of a reversible non-flow process from an initial pressure of 10 bar and temperature 622oC to a temperature of 331 oC whilst generating 85 kJ of work. The specific heat at constant volume in J/kgK for the gas is?


Homework Equations





The Attempt at a Solution


I really have no idea where to start. I have attended all of my lectures and read all of the notes, but I just do no know where to come at this problem from..?
 
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