7 Entropy

1. Clausius inequality
Clausius inequality for Carnot cycle; equivalent processes; Clausius inequality for any cycle
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
2. Entropy from Clausius inequality
Change of entropy as a state property for a reversible process; change of entropy for an irreversible process; entropy and chaos
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
3. Gibbs equation
Derivation, friction work and its relationship with entropy change due to irreversibility
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
4. Entropy relationship with other state properties
Change of entropy for an ideal gas; change of entropy for a semi-ideal gas; volume and pressure ratios for an isentropic process; entropy for ideal gas mixtures; Entropy for wet vapor; entropy for solids and liquids
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
5. Entropy based charts
Temperature entropy chart: area under a process, representing isochoric and isobaric processes; Temperature entropy and enthalpy entropy charts in superheated vapor and wet vapor regions; entropy departure for real gases using compressibility charts
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
6. Entropy for a control volume
Derivation of the general expression for entropy change for a control volume, Isentropic efficiency for an expansion process (turbine, nozzle); isentropic efficiency for a compression process (compressor, diffuser)
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
7. Entropy from the statement of Caratheodory
State properties and total differentials; Euler condition; constructing a state property for an ideal gas; generalizing for any substance
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
8. Entropy from statistical thermodynamics
Macro and microstates; definition of thermodynamic probability; derivation of thermodynamic probability for a system of multiple compartments; applying for two compartments but different number of particles; relation between entropy and thermodynamic probability
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
9. Principle of entropy increase
Principle of entropy increase; thermal death; Maxwell’s daemon; entropy and information ; philosophical consequences of First and Second Laws
Video lecture: English text & narration - English text+Arabic narration
Video worked examples: Example 1 (English) - Example 1 (Arabic); Example 2 (English) - Example 2 (Arabic)
Exercises and quizzes
10. Worked examples
Video worked examples:

1. Examples 1, 2 (Arabic naration)
   
2. Examples 3, 4 (Arabic naration)
   
3. Examples 5, 6 (Arabic naration)
   
4. Examples 7, 8, 9 (Arabic naration)
   

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