In this problem you will model helium-3 as a non-interacting Fermi gas. Although 3He liquefies at low temperatures, the liquid has an unusually low density and behaves in many ways like a gas because the forces between the atoms are so weak. Helium-3 atoms are spin ½ fermions because of the unpaired neutron in the nucleus.
a) Pretending that liquid 3He is a non-interacting Fermi gas, calculate the Fermi energy and Fermi temperature. The molar volume is 37 cm3.
b) Calculate the heat capacity for T<