MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 6
1. Develop a state function for temperature for a system that varies with Gibb’s free energy
and volume. Simplify your answer to receive full credit.
2. Apply your solution to a gas of your choice and a solid of your choice. State your
problem or pose the question to the problem. After you obtain your answers, comment or
provide insight to what you have found. Use the table of materials parameters you
obtained in class to aid you. You will be graded on your completeness and insight to the
problem.
3. Develop a state function for a change in pressure for a process where S and H are
changed. Simplify your answer to receive full credit.
4. Estimate the pressure required to keep a sample of zirconia from expanding as it is heated
from 298 K to 373 K. Comment on your answer.
Zirconia Information:
C p = 69.6 + (7.5 × 10−3 )T + (14.1× 105 )
1
T2
the units for Cp are J/(mol K)
Molar Volume: 27.021 cc/mol
Coeff. Of Thermal Expansion, α: 7X10-6 K-1
Coeff. of Compressibility, β: 4.97-5.21 × 10-12 Pa-1
(from Physical Review B, Volume 62, Number 13, p.8731-8737)
5. In class, we used the extremum principle to generate a set of equations that are the
criterion for equilibrium. Repeat this problem explaining why the coefficients of the
differential are required to be zero. Use a graphical sketch to support your argument.
6. For the following reaction:
Pb + ½ O2 = PbO
calculate the ∆H of reaction. This problem is on page 119-123 of Gaskell. Repeat this
problem using the approach:
∆H rxn = ∑ H prod . − ∑ H react .
at a temperature of 1300 K.