Certainly, there are fluctuations(as evidenced by the finite width of the above graph)in the energy content of the N-molecule system about its most probable value. However these fluctuations become less and less important as the system size (i.e, N)becomes larger and larger To understand how this narrow boltzmann distribution of energies arises when the number of molecules n in the sample is large, we consider a system composed of M identical containers each having volume V. and each made out a material that allows for efficient heat transfer to its surroundings but material that does not allow the n molecules in each container to escape. These containers are arranged into a regular lattice as shown Fig. 7.2 in a manner that allows their thermally conducting walls to come into contact Finally, the entire collection of M such containers is surrounded by a perfectly insulating material that assures that the total energy (of all NXM molecules) can not change. So, this collection of M identical containers each containing N molecules constitutes a closed (i.e, with no molecules coming or going) and isolated (i.e, so total energy is constant) system PAGE 6PAGE 6 Certainly, there are fluctuations (as evidenced by the finite width of the above graph) in the energy content of the N-molecule system about its most probable value. However, these fluctuations become less and less important as the system size (i.e., N) becomes larger and larger. To understand how this narrow Boltzmann distribution of energies arises when the number of molecules N in the sample is large, we consider a system composed of M identical containers, each having volume V, and each made out a material that allows for efficient heat transfer to its surroundings but material that does not allow the N molecules in each container to escape. These containers are arranged into a regular lattice as shown in Fig. 7.2 in a manner that allows their thermally conducting walls to come into contact. Finally, the entire collection of M such containers is surrounded by a perfectly insulating material that assures that the total energy (of all NxM molecules) can not change. So, this collection of M identical containers each containing N molecules constitutes a closed (i.e., with no molecules coming or going) and isolated (i.e., so total energy is constant) system