Unformatted text preview: 3) Fish in a continuous ﬂow system are diagnosed with a certain type of bacterial gill infection.
You have decided to use Fishcycline (tetracycline for fish), which exerts bactericidal action on
gram—positive and some gramnegative bacteria. You have decided to add liquid antibiotic to the
inﬂuent water as a centinuous input. However, the ﬁsh tank has a bioﬁlter that depletes the
antibiotic concentration (Fishcycline) in the tank water. Fish also metabolize the antibiotic. The combined antibiotic concentration depletibn both from bioﬁlter and metabolic activity in the
ﬁsh body can be mathematically quantiﬁed as a first order reaction with a rate constant of _
0.12/ day. The volume of the tank (ﬁsh system) is 1000 gallons. The freshwater input to the tank
ile gallons per hour (20 points) . A 4 tibiotic Freshwater 3.73" 5' Z ’ / j‘v/ a) write the 6 ste s needed for settin u the MBE and solve for antibiotic concentration at an
time "t". Show problem specific details in the 6 steps (such as component: ....., reaction: ....)
Assume that the antibiotic is present in the tank water at time zero for your MBE. Assume “A”
to be the antibiotic concentration (mg/L) in the tank at any given time “t”. Also assume that you
are reading the inﬂuent antibiotic concentration just before it enters the ﬁsh tank (near the circle
show on the inﬂuent line). Furthermore, as the ﬂow from antibiotic dosage is very small, assume
that the ﬂow rate entering the tank is 10 gal/hour. If you make any other assumptions, please list
the assumptions. You are required to develop the MBE. However, you need not solve the MBE here. t , Nerf}! ) A A
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 Spring '08
 THEEGALAC

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