1. In developing the fundamental equation from the first and second laws, we have neglected gravitational, electrical, and surface effects. Surface effects may be taken into account by: dG= -SdT + VdP + ydA where y is the interfacisl tension and A is the interfacial area.
a. Write y as a partial derivative of G.
b. Given a new variable defined as ?= G -yA use the Legendre Transform to transform the fundamental equation from G(T,P,A) to ?(T,P,y).
c. Write a two Maxwell like relations using y as a dependent variable.