Enthalpy, entropy, and chemical potential for isothermal nitrogen compression

[deltasmile]

Homework Statement

Hello, i am given an isothermal transition for nitrogen, N₂, where temperature is constant at 700K, p1=1bar, and p2=100bar.
For this problem i am not allowed to use any equations of states, such as Benedict-Webb-Rubin, or Beattie-Bridgeman. Rather i am given only Cp data, which is in the table below. From only this data below for nitrogen i must determine the Enthalpy, Entropy, and Chemical Potential for the transition phase.
I am also given the equation below, which I am not too sure how to apply it to the problem.

Homework Equations

R*T (a + b v^-1 + c v^-2 + d v^-3)

 

[Borek]

Start with definitions of the ΔH, ΔS and ΔG.

 

[Chestermiller]

What are dh, ds, and dg in terms of dT and dP?

 

[Chestermiller]

$\Delta G$ is easy, but I still haven't figured out how to get $\Delta H$ and $\Delta S$. Are you sure this is the only information they give you? Do they provide any information at any other temperature?

 

[Chestermiller]

I'm guessing that the expression appearing above the table is the functional form they are recommending for the pressure. This is the equation of state. Am I correct?