The Carnot Cycle — Thermodynamic Limits & Irreversibility
Thermodynamics
A rigorous graduate-level treatment of the Carnot cycle: exact state-point thermodynamics, entropy generation, availability/exergy, endoreversible engine theory, and the foundations of the second law.
Learning Objectives
- Derive all four Carnot state points from first principles for an ideal gas
- Prove that no engine between two reservoirs can exceed Carnot efficiency
- Quantify irreversibility via entropy generation and lost work (Gouy-Stodola theorem)
- Apply endoreversible (Curzon-Ahlborn) theory for maximum power
- Analyse exergy destruction and second-law efficiency
- Connect the Clausius inequality to the thermodynamic temperature scale
Lessons
1
Exact State-Point Analysis of the Carnot Cycle
30 min
2
Proof of Carnot's Theorem & The Clausius Inequality
30 min
3
Irreversibility, Lost Work & the Gouy-Stodola Theorem
30 min
4
Endoreversible Theory — Maximum Power at Finite Speed
30 min
5
Interactive Carnot Explorer
30 min
6
Practice Problems
30 min
Quick Practice
Test your knowledge with a quick interactive challenge from this module.
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Key Concept Flashcards
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