This lecture covers thermodynamic functions and the concept of calorimetric coefficients. It begins with an introduction to calorimetry, emphasizing the relationship between heat transfer and temperature changes. The instructor explains how calorimetric coefficients are derived from state functions and their empirical development. The discussion includes the definitions of specific heat capacities at constant volume and pressure, and the relationships between these coefficients. The lecture also addresses the adiabatic coefficient and the Mayer and Reech relations, highlighting their dependence on the substance rather than the system size. The instructor illustrates the concepts with examples, including the behavior of ideal gases and the derivation of the ideal gas law. The lecture concludes with a summary of the key points, including the relationships between heat capacities and the implications for thermodynamic processes. Overall, the lecture provides a comprehensive overview of the principles governing thermodynamic functions and calorimetry, essential for understanding energy exchanges in physical systems.