For fermions, the thermodynamic probability for the j-th energy level is expressed 935 na(9,- g and n, represent degeneracy and the number of as particles in the j-th energy level, respectively. (a) what is the distribution for maximum thermodynamic probability when the total number of particles, n and the total internal energy, u are kept constant. one of the undetermined multipliers may be the chemical potential, , and the stirling's formula is ln(a! ) xlna- . (b) at a temperature of absolute zero, find out the fermi energy u(0) (c) plot f(e) e) as a function of e at t 0 (d) the internal energy of a gas of n fermions is expressed as 2 5t nef[1+ 12 t t -)4.. find out the fermion gas pressure. what is 16 tp u h2 the relation with u? cf. =p(0) and f2tmk 1.504 v -)2/3