1. A liquid is heated at constant pressure in a smooth container to a temperature above its boiling point, at which it becomes superheated and metastable. Boiling chips are added and the liquid transforms irreversibly into a vapor phase. Why does the relationship not describe the change in entropy for this particular transition?
2. You are given the function rather than Show that you would not be able to obtain all thermodynamic properties from the former. Hint: consider how you would find the value of S.