A showerhead style nozzle is used to introduce a media broth to a reactor (creates a diffuse flow pattern). The broth can be approximated as water with a density of 1000 kg/m3. The showerhead has 50...

A showerhead style nozzle is used to introduce a media broth to a reactor (creates a diffuse flow pattern). The broth can be approximated as water with a density of 1000 kg/m3. The showerhead has 50 openings to allow the flow to pass. Each opening is 0.125 cm2. The average velocity through each opening is 0.7 m/s. Broth is being drawn out of the reactor bottom at a rate of 30 kg/min. Is the system at steady state, losing mass or gaining mass?