MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 5
1. Develop a state function for pressure for a system in which changes in Helmholtz free
energy and temperature. Simplify your answer to receive full credit.
2. Develop a state function for Gibb’s free energy for a system that undergoes a change in
volume and entropy. Simplify your answer to receive full credit.
3. Compute the change in internal energy when 12 liters of argon gas at 273 K and 1 atm is
compressed to 6 liters with the final pressure is equal to 10 atm. Solve this problem in
two different ways:
a. Apply the general procedure to evaluate U = U(P,V) and integrate from initial to
final (P,V).
b. Use the information to compute the final temperature of the gas and apply the
general relation δU = Cv∆T.
4. Evaluate the partial derivative:
⎛ ∂H ⎞
⎜
⎟
⎝ ∂G ⎠ S
in terms of experimental variables.
5. Derive the relationship that describes the dependence of Helmholtz free energy on
entropy and temperature.