A mussel is placed into water polluted with polychlorinated biphenyls (PCBs). Let Q(t ) be the concentration of PCB in the mussel in micrograms (per gram of tissue) after t days. For certain concentrations of pollution let’s suppose that the mussel absorbs PCBs at the rate of 14 micrograms of PCB per gram of tissue per day. Also, let’s suppose the elimination rate of PCBs from the mussel is 0.20 micrograms per gram of tissue per day.
(a) Draw a one-compartment model for Q.
(b) Show that D? = ?0.20D +14 .
(c) Solve for D(t ) given the initial condition D(0)=D0
(a)
(b) Left to the student.
(c)
Mathematics
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