Question

A particular system is found to obey the following two equations of state: T= 3As2/v P=As3/v2 where A is a constant. a. Find the fundamental equation of this system by direct integration of its molar total differential form: du(s,v)=Tds - Pdv . (This is an integration over multiple variables, but the variables are not independent of each other. Your solution will have only one term, not two.) b. Find the chemical potential \mu as a function of s and v and then find the fundamental equation. (The integration here is of the same type as for part (a). Also note that you will have to do considerably more algebraic work to prepare for this integral compared to the one above.)

Answer 1