Problem 2.1 Thermodynamic description of a system for which the Gibbs free energy as a
function of $p$ and $T$ is known
You are given a substance for which the Gibbs free energy can be expressed as:
$G = -3.5nRT \ln T + nRT \ln p - 12.73nRT + nbp - \frac{nap}{RT}$,
where $p$ is in Pa, $a = 0.138 \text{ J } m^3/mole^2$, $b = 3.258 \times 10^{-5} m^3/mole$, $n$ is the number of moles.
The volume of one mole of this substance at $T = 298K$ is $V = 1000cm^3$.
Under these conditions and assuming $n = 1$ what is:
a) the pressure
b) the entropy
c) the heat capacity at constant pressure
d) the isothermal compressibility
e) the coefficient of thermal expansion
f) the heat capacity at constant volume
