Question

In the Fermi gas model the internal energy is given by U = 3/5 AE_F, where A is the mass number and E_F is the Fermi energy. For a nucleus of volume V with N = Z = A/2. A = KVE_F3/2 where K is a constant. Using the thermodynamic relation, p = − (∂U/∂V)_s, show that the pressure is given by p = (2/5)ρ_nE_F, where ρ_n is the nucleon density

Answer 1

where ρ_N = A/V , is the nucleon density.