Question

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

          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

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 - (nap)/(RT),
where p is in Pa, a = 0.138 J m^3/mole^2, b = 3.258 × 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

Added by Dennis P.

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