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Q2 [20 marks] Helium steadily flows out of a reservoir with pressure Po = 10 bar and temperature To = 293 K through a converging-diverging nozzle with a throat are of A = 2 cm². The area at the exit of the nozzle is Ą. = 4.5 cm². Helium gas can be considered an ideal gas with y = 1.66, and molar mass m=4.0 g/mol. The ideal gas constant is R=8.31 J/(mol.K). Determine the critical pressure and critical mass flux, i.e. the pressure and mass flux for sonic conditions in the throat. [5 marks] b. Determine the mass flux if the pressure at the exit of the nozzle is pe =4 bar [3 marks] c. Determine the mass flux if the pressure at the exit of the nozzle is pe = 7 bar [6 marks] d. Determine the mass flux if the pressure at the exit of the nozzle is pe =9.5 bar [6 marks] a.