(a) Air flows from a storage tank, where po = 10 atm and To = 300 K, through a convergent- divergent nozzle with a throat area of 100 cm. A normal shock is formed downstream from the throat within the divergent section of the nozzle, as shown in Figure 1 below. The Mach number of the flow at location 2 (immediately downstream of the shock) is 0.5179. Find: (i) state all assumptions [1 mark] (ii) (iii) the static pressure (p2) immediately downstream of the shock the nozzle area (A1) at the shock location [8 marks] [2 marks] (iv) the static temperature at the throat [3 marks] (V) the static pressure at a location immediately before the exit where the nozzle area is 400 cm [13 marks] (vi) the mass flow rate through the nozzle. [3 marks] Compressed Air Tank Throat area 100 cm To Shock 12 Figure 1. Compressed air tank with nozzle