As we discussed in class, the Gibbs function, G, is given by:
dG = -SdT + VdP
a) Use the above equation to derive an expression for the volume, V, as a partial derivative of the Gibbs function, G.
b) In addition to the equation for the Gibbs function, we also wrote an equation for the enthalpy. Using that equation, derive an expression for the temperature, T, as a partial derivative of the enthalpy.
c) In addition to the equation for the Gibbs function, we also wrote an equation for the Helmholtz Free Energy. Using that equation, derive an expression for the pressure, P, as a partial derivative of the Helmholtz Free Energy.