The document discusses the second law of thermodynamics which states that the change in entropy of the universe is greater than zero for any spontaneous process. It provides examples to illustrate key concepts: 1) Heat transfer from a hot to cold metal block results in a dispersed final temperature and positive change in entropy as it is an irreversible process. 2) Free adiabatic expansion of an ideal gas into empty space is irreversible, resulting in a positive change in entropy. 3) Mixing of two ideal gases initially separated will increase the entropy by 2*nRln2.