A large reservoir at 20C and 800 kPa is used to fill a small insulated tank through

Question:

A large reservoir at 20°C and 800 kPa is used to fill a small insulated tank through a converging-diverging nozzle with 1-cm2 throat area and 1.66-cm2 exit area. The small tank has a volume of 1 m3 and is initially at 20°C and 100 kPa. Estimate the elapsed time when
(a) Shock waves begin to appear inside the nozzle; and
(b) The mass flow begins to drop below its maximum value.