Courses » Thermodynamics of Fluid Phase Equilibria

Thermodynamics of Fluid Phase Equilibria


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.




PREREQUISITES: An introduction course on Thermodynamics

INDUSTRY SUPPORT: All engineering based industry 


Dr. 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's 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 experienced 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.


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


•    M. Molecular Thermodynamics of Fluid Phase Equilibria, Third Edition By  John M. Prausnitz/Ruediger N. Lichtenthaler and Edmundo Gomes de Azevedo
  • The exam is optional for a fee.
  • Date and Time of Exams: April 28 (Saturday) and April 29 (Sunday) : Morning session 9am to 12 noon; 
  • Exam for this course will be available in one session on both 28 and 29 April.
  • 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.


  • Final score will be calculated as : 25% assignment score + 75% final exam score
  • 25% assignment score is calculated as 25% of average of  Best 6 out of 8 assignments
  • E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. 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.