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This lecture explores the relationship between the pair correlation function and physical observables, such as the reversible work theorem, potential of mean force, and second virial coefficient. By linking the pair correlation function to the reversible work needed to bring particles together, the instructor demonstrates how statistical mechanics can provide insights into the interaction between particles in a liquid. The lecture also delves into estimating the mean internal energy of a system using the pair potential, highlighting the importance of understanding interactions in colloidal science and self-assembly.