Problems
Problem 3.1:
Give four different definitions of the chemical potential μ, as
derivatives of the different energies we have defined.
[Solution]
Problem 3.2:
Give two definitions of the entropy σ in terms of derivatives of
the different energies we have defined.
[Solution]
Problem 3.3:
Using the definition of temperature that uses the enthalpy, give an
expression for the temperature in terms of U, σ, p, and V,
following the method used to derive an expression for the pressure
above.
[Solution]
Problem 3.4:
Derive the Maxwell relation that relates a derivative of μ with a
derivative of σ.
[Solution]
Problem 3.5:
Derive the Maxwell Relation that relates a derivative of τ with a
derivative of V.
[Solution]
