PHYSICS 313
Problem set 4 2003
Given Oct. 17 2003
Due Oct 27 2003

Problem 1:
In class we have generally illustrated thermodynamic cycles by plots in the $P,V$ plane. As an alternative one could plot the processes in the $S,T$ (entropy vs. temperature) plane.
a: Plot the Carnot cycle in the $S,T$ plane.
b: Plot the Otto cycle in the $S,T$ plane
Problem 2:
a: Use the Sackur-Tetrode formula for the entropy of a monatomic ideal gas to find a formula for the Helmholtz free energy.
b: Find the chemical potential of Argon at 300 K and pressure 1 bar.
c: How does the chemical potential change if the pressure is increased to 100 bar.
Problem 3:
When the pressure on a 1 kg liquid is increased isothermally from 1 bar to 3000 bar the Gibbs free energy increases by 360 kJ. Estimate the density of the liquid.