Thermodynamics: Gas


Problems

Problem :

Calculate the pressure of a Fermi gas in its ground state.


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 = 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.


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