Consider a system with total energy U, with only three levels of energy, but with N particles. Such a system could represent, for example, a collection of spin-1 charged particles, in a magnetic field external. Assume that the energy levels are 0, ε and 2ε . The populations of each level are denoted by n0 , n1 and n2 , respectively. whereas the number of microstates accessible to the system is given by Ω = N!/( n0 !n1!n2 !). find a) n0 , and n1 with a function of n2 , U and ε b) The entropy per particle c) the specific heat