Show that if the fundamental equation per mole of a single-component system is u(s,v), where lower-case s and v are molar quantities, then the differential form of the fundamental relation is du = Tds - Pdv. How are T,P related to the function u(s,v)? If a particular system obeys u=A*v^-2 exp(s/R), where A and R are constants, what are the expressions for temperature and pressure in terms of molar entropy and volume? What about chemical potential?