(a) (6 pts) suppose a system consists of n noninteracting, indistin guishable, identical particles and that each particle has available to it only two quantum electronic states, whose energies are 0 and a. find expressions for z, z and u. note: because we don 't consider translational energy here, so the 1/n! should be om itted when writing z in terms of z (b) (4 pts) for no, the ground electronic level and the first exited electronic level are each doubly deg enerate. the separation between these two electronic labels is 0.0149 ev. there are no other low-lying electronic levels. for no, calculate za at 150 k. note: lev 16022 * 101 j 9, (12 pts) (a) (3 pts) show that if the hamonic-oscillaor approximation is used, the fractional population of the diatomic-molecule vibrational level v is < n,> (b) (2 pts) show that z, n/ethr write downr in terms of concentration of b and c (b write downk too and [c, na a re, r, t, ma, mc ande rt2 find e d. (3 pts) using e and a.