Thermodynamics Of Fluid Phase Equilibria

By Prof. Jayant K. Singh   |   IIT Kanpur
Learners enrolled: 21
ABOUT THE COURSE : The goal of this course to introduce molecular thermodynamics as a practical tool for engineering applications. In particular, the course would present the first year graduate student or senior undergraduate student a broad introduction to the thermodynamics of phase equilibria typically encountered in designing chemical products and processes. The course is suitable for those students who have completed their course in undergraduate thermodynamics. It would be further useful if the student has also done the first undergraduate course on chemical engineering thermodynamics.

INTENDED AUDIENCE : Any interested Learners

PREREQUISITES : An introduction course on Thermodynamics

INDUSTRY SUPPORT All engineering based industry
Course Status : Upcoming
Course Type : Elective
Duration : 8 weeks
Start Date : 23 Jan 2023
End Date : 17 Mar 2023
Exam Date : 26 Mar 2023 IST
Enrollment Ends : 30 Jan 2023
Category :
  • Chemical Engineering
Credit Points : 2
Level : Undergraduate/Postgraduate

Page Visits

Course layout

Week 1    : Introduction, Review of first Law for closed and open systems, Properties of ideal gas and real fluids
Week 2 : Thermodynamics calculus, thermodynamics derivatives, Euler’s theorem for homogeneous functions, Legendre’s transformations, Derivative in terms of measurable properties, elementary statistical mechanics
Week 3  : Thermodynamics of Phase Equilibria, Open systems, Ideal Mixtures,  Equilibrium in a Heterogeneous Closed System, Fugacity
Week 4    : Thermodynamic Properties from Volumetric Data, Thermodynamic Properties with P, T as Independent Variable, Fugacity of Liquids and Solids, Thermodynamic Properties with V, T as Independent Variables, Approaches to Phase Equilibria Calculations 
Week 5     : Intermolecular forces, corresponding states, Osmotic systems 
Week 6     : Fugacity in Gas Mixture, Virial equation of state, fugacities from Virial equation, Fugacities at high densities, Solubilities of solids and liquids in compressed gases
Week 7     : Fugacities in Liquid Mixure: Excess function
Week 8     : Fugacities in Liquid Mixure: Models and Theory of Solution

Books and references

M. Molecular Thermodynamics of Fluid Phase Equilibria, Third Edition By  John M. Prausnitz/Ruediger N. Lichtenthaler and Edmundo Gomes de Azevedo

Instructor bio

Prof. Jayant K. Singh

IIT Kanpur
Prof. Jayant K. Singh received his B.Tech from IIT Kanpur in chemical engineering in 1997. He subsequently completed his Masters degree in computer science and engineering and Ph.D. in chemical engineering in the area of molecular simulation from SUNY Buffalo, USA in 2004. Dr. Singh is currently a professor in the department of chemical engineering at IIT Kanpur. Dr. Singh current research interest is in thermodynamics and statistical mechanics, material modeling, confined fluids and development of molecular simulation tools. Dr Singh has co-authored more than 100 peer reviewed articles in international journals of repute. He is a recipient of prestigious awards such as Humboldt Fellow for experience researcher, Young Engineers of Indian National Academy of Engineers, Amar-Dye Chem award and BRNS Young Scientist Award. He is also an elected member of National Academy of Sciences, Allahabad

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 
26 March 2023 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

MHRD logo Swayam logo


Goto google play store