A statistical model has been developed and applied to interpret thermodynamic processes typically presented from the macroscopic, classical perspective. Through this model, students learn and apply the concepts of statistical mechanics, quantum mechanics, and classical thermodynamics in the analysis of the (i) constant volume heating, (ii) constant pressure heating, (iii) isothermal expansion into vacuum, (iv) adiabatic irreversible expansion, and (v) adiabatic reversible expansion of an ideal gas. Whether used as a tool in lecture or as a hands-on computational exercise, the model described herein is a powerful quantitative and visual tool that enables students to more readily grasp the microscopic basis for macroscopic events. (Contains 5 tables and 5 figures.)