Aclosed-loop ecosystem is being designed for long-duration space missions. within that system, a biofilter will utilize bacteria to convert nitrogen from fish waste (nh3) into a form usable by plants ( the biofilter consists of a cylinder filled with spherical particles (like a jar full of marbles) upon which the bacteria attach, and water then flows through the cylinder past the bacteria. the water flow rate through the system is 25 g h20 / s, and the inlet concentration of nh3in the water is 9x10-6g nh3/ g h20. if the bacteria in the filter are removing nh3at a rate of 41x10-6(g nh3)/s, what is the concentration of nh3in the outlet water, in g nh3/ g h20?

The concentration in the outlet water is 7.36x10-6 gNH3/gH2O

Explanation:

We need to have the same units to do the operations so that we can substract the activity of the bacteria from the flow rate of gNH3/s for this we first need to know which is the flow of gNH3/s in the water flow rate for this we:

As you can see we used the concentration of NH3 in H2O to have the gNH3/s. Now we jst susbtract the activity of the baterias to the initial concentration of the water

We can do this operation because the units are the same.

Now we just need to convert the 1.84x10-4 gNH3/s to concentration of gNH3/gH2O, for this we just neet to divide the concentration by the flow of the water (25gH2O/s)

We cancel the units and when we realice the division we get that the outlet concentration of the water is 7.36x10-6gNH3/gH2O