Pressure of Ideal Bose and Fermi Gas Satisfy PV = 2/3 E

In class we wrote down the thermodynamical potential for a gas of non-interacting (non- relativistic) fermions in three dimensions. We found a simple result for fermions of the form (see attached).

Pressure of Ideal Bose and Fermi Gas Satisfy PV = 2/3 E. In class we wrote down the thermodynamical potential for a gas of non-interacting (non- relativistic ...

... In the last step we have inserted U = 3/2 kT. The chemical potential is thus: mu = -T(dS/dN)_{U,V} = -kT Log[(2 pi m kT/h^2)^(3/2) V/N]. Using the ideal gas law ...

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