An ideal gas going through a cycle

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SUMMARY

The discussion centers on a homework problem involving an ideal gas undergoing a thermodynamic cycle. The key equations referenced are ΔEint=Q+W and W=-PΔV, which are essential for calculating changes in internal energy and work done by the gas. Ethan's calculations were reviewed and confirmed to be accurate, indicating that his understanding of the concepts is solid. The conclusion drawn is that Ethan's answer aligns with the correct solution, affirming his approach to the problem.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically the first law of thermodynamics.
  • Familiarity with the concept of internal energy changes in ideal gases.
  • Knowledge of work done by gases during expansion and compression.
  • Ability to apply equations related to thermodynamic cycles.
NEXT STEPS
  • Review the first law of thermodynamics in detail.
  • Study the behavior of ideal gases under different thermodynamic processes.
  • Learn about graphical representations of thermodynamic cycles on PV diagrams.
  • Explore advanced applications of the equations ΔEint=Q+W and W=-PΔV in real-world scenarios.
USEFUL FOR

Students studying thermodynamics, educators teaching gas laws, and anyone seeking to deepen their understanding of ideal gas behavior in thermodynamic cycles.

Ethan Godden
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Homework Statement


The problem is attached

Homework Equations


ΔEint=Q+W
W=-PΔV

The Attempt at a Solution


Attempted solution is in the attachment. The problem is I am not getting the same answer as the supposed correct answer.

Thank You,

Ethan
 

Attachments

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Ethan,
I checked your work and it all looks very good to me. I think your answer is correct!
 

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