For the nozzle of problem 9.70, allowing for non-isentropic flow, what is the range of exit tank

Question:

For the nozzle of problem 9.70, allowing for non-isentropic flow, what is the range of exit tank pressures pb for which
(a) The diverging nozzle flow is fully supersonic;
(b) The exit flow is subsonic;
(c) The mass flow is independent of pb;
(d) The exit plane pressure pe is independent of pb; and
(e) Pe < pb?