Adiabatic and Polytropic Process

1. Sanjivani Rural Education Society’s
Sanjivani College of Engineering, Kopargaon-423603
(An Autonomous Institute Affiliated to Savitribai Phule Pune University, Pune)
NAAC ‘A’ Grade Accredited, ISO 9001:2015 Certified
Unit 3 : Second Law of Thermodynamics
Subject :- Basic Thermodynamics
S.Y B.Tech (Mechanical)
By
Prasad A Bojage (Asst Professor)
Sanjivani College of Engineering
(An Autonomous Institute)
Kopargaon , Maharashtra
Email: bojageprasadmech@sanjivani.org.in Mobile:- 9970065292
Department of Mechanical Engineering

2. Contents
• Ideal Gas Assumptions
• Derivation for Adiabatic Process ( to find)
1. Change in Internal Energy (∆U)
2. Heat Transfer (Q)
3. Work Done (W)
4. P-V-T Relationship
5. Change in Enthalpy (∆H)
6. Change in Entropy (∆S)
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

3. Ideal Gas Assumptions
• The ideal gas equation PV = RT can be derived analytically using the kinetic
theory of gases by making the following assumptions :
(i) A finite volume of gas contains large number of molecules.
(ii) The collision of molecules with one another and with the walls of the
container are perfectly elastic.
(iii) The molecules are separated by large distances compared to their own
dimensions.
(iv) The molecules do not exert forces on one another except when they collide.
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

4. Adiabactic Process
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

5. Adiabactic Process
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

6. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

7. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

8. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

9. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

10. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

11. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

12. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

13. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

14. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

15. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

16. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

17. References:-
1. R.K. Rajput, Engineering Thermodynamics, Laxmi Publications Pvt Ltd, 3rd Edition.
2. Onkar Singh, Applied Thermodynamics, New Age International Publishers, 3rd Edition.
3. Yonus A Cengel and Michale A Boles, Thermodynamics: An Engineering Approach,
McGraw Hill, 2002.
4. P.K. Nag, Engineering Thermodynamics, McGraw Hill Companies, 4th Edition, 2009
Thank You
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

18. Sanjivani Rural Education Society’s
Sanjivani College of Engineering, Kopargaon-423603
(An Autonomous Institute Affiliated to Savitribai Phule Pune University, Pune)
NAAC ‘A’ Grade Accredited, ISO 9001:2015 Certified
Unit 3 : Second Law of Thermodynamics
Subject :- Basic Thermodynamics
S.Y B.Tech (Mechanical)
By
Prasad A Bojage (Asst Professor)
Sanjivani College of Engineering
(An Autonomous Institute)
Kopargaon , Maharashtra
Email: bojageprasadmech@sanjivani.org.in Mobile:- 9970065292
Department of Mechanical Engineering

19. Contents
• Ideal Gas Assumptions
• Derivation for Polytropic Process ( to find)
1. Change in Internal Energy (∆U)
2. Heat Transfer (Q)
3. Work Done (W)
4. P-V-T Relationship
5. Change in Enthalpy (∆H)
6. Change in Entropy (∆S)
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

20. Polytropic Process
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

21. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

22. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

23. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

24. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

25. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

26. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

27. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

28. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

29. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

30. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

31. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

32. P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering

33. References:-
1. R.K. Rajput, Engineering Thermodynamics, Laxmi Publications Pvt Ltd, 3rd Edition.
2. Onkar Singh, Applied Thermodynamics, New Age International Publishers, 3rd Edition.
3. Yonus A Cengel and Michale A Boles, Thermodynamics: An Engineering Approach,
McGraw Hill, 2002.
4. P.K. Nag, Engineering Thermodynamics, McGraw Hill Companies, 4th Edition, 2009
Thank You
P.A. Bojage Sanjivani College of Engineering, Kopargaon, Department of Mechanical Engineering