Thermodynamics: Gas
Problems
N
n
Problem :
Check that the energy of the ground state of a Fermi gas is correct by calculating the chemical potential from it.
Problem :
A long series of calculations can be used to derive the entropy of the
Fermi gas, and the result is
σ = 
Π
2
N
. From this, calculate the heat capacity at constant
volume.
Problem :
It turns out that the energy of a Bose gas is given by:
U = Aτ
where
A
is a constant that depends only on the volume. From this,
calculate the heat capacity at constant volume.
Problem :
Using the knowledge that the entropy goes to zero as the temperature goes to zero, calculate the entropy from the heat capacity.
