Thermodynamic Identity: Entropy and Energy

This lecture delves into the thermodynamic identity, which links various thermodynamic quantities during quasi-static transformations. It covers the relationship between temperature change and entropy change, the shape of the entropy vs. internal energy curve, and the definition of pressure as a function of entropy. The instructor explains the second principle of thermodynamic equilibrium and illustrates it with a scenario involving two ideal solids. The lecture also explores the concept of entropy maximization in thermal contact systems and provides examples to clarify the calculations and concepts discussed.