Recalling that the Fermi-Dirac distribution function applies to all fermions, including protons and neutrons, each of which have spin 1/2, consider a nucleus of ²²Ne consisting of 10 protons and 12 neutrons. Protons are distinguishable from neutrons, so two of each particle (spin up, spin down) can be put into each energy state. Assuming that the radius of the ²²Ne nucleus is 3.1 x 10^-15 m, estimate the Fermi energy and the average energy of the nucleus in ²²Ne. Express your results in MeV. Do the results seem reasonable?