Statistical Physics Pdf — Solved Problems In Thermodynamics And

The ideal gas law can be derived from the kinetic theory of gases, which assumes that the gas molecules are point particles in random motion. By applying the laws of mechanics and statistics, we can show that the pressure exerted by the gas on its container is proportional to the temperature and the number density of molecules.

where ΔS is the change in entropy, ΔQ is the heat added to the system, and T is the temperature. The ideal gas law can be derived from

ΔS = nR ln(Vf / Vi)