2) [33] In this problem you will calculate exit conditions for the DIVERGING part of a converging/diverging ideal adiabatic nozzle. The nozzle operates at steady state with no heat transfer to/from the outside world. Treat the gas travelling through it as an ideal gas with constant specific heats with R=287 J/(kg K), cp=1004 J/(kg K). The nozzle has no internal irreversibilities. State i: P=5 bar T=1000 K A=0.03 m^2 V=634 m/s State e: T =500 K a) Find the mass flowrate through the nozzle. b) Find the exit velocity Ve. c) Find the exit density pe. d) Find the exit cross-sectional area of the nozzle, Ae. Yes, the nozzle area gets larger as the flow speeds up!