Thermodynamics Phase Equilibrium and Maxwell Relations

Thermodynamics is the core science behind energy conversion, chemical processes, and material behavior. To design efficient systems and solve advanced engineering problems, you must understand how pure substances behave across phases and how different thermodynamic properties relate to one another. This text-based course guides you from foundational definitions to the mathematical formulations used by professional engineers. You will learn how to analyze phase changes, calculate energy shifts, and use Maxwell relations to find properties that cannot be measured directly. What you will learn: Understand the equation of state and the behavior of pure substances across solid, liquid, and vapor phases; Analyze phase equilibrium and calculate compressibility factors for real gases; Apply Gibbs free energy and work function concepts to determine system spontaneity and maximum work; Derive and utilize the Maxwell relations and Maxwell equations to link different thermodynamic properties; Solve practical problems using the Joule-Thomson effect, Clapeyron, and Clausius-Clapeyron equations. The course begins with essential terminology and the physical principles of pure substances before moving into rigorous mathematical derivations and step-by-step problem-solving scenarios. This course is designed for engineering students, chemistry majors, and candidates preparing for competitive exams like the GATE who have a basic understanding of introductory thermodynamics. Start reading today to build a powerful analytical toolkit for thermodynamic analysis.