The theory behind statistical mechanics is based squarely on the Ergodic Hypothesis and Bolzmann statistics. These principles guide the analysis of the mechanical behavior of large sets of particles. There are very few experiments in statistical mechanics. The two below allow the calculation of the Boltzmann constant (accepted value is 8.617*10^-5 eV/K), and illustrate the legitimacy of the Ergodic Hypothesis and Boltzmann statistics.