Manufacturing often requires self generation of ultrapure water (UPW), and the primary use of this water is to clean manufacturing components. Typically, the UPW treatment system takes municipal tap water and treats it further to remove a substantial fraction of the solutes. The UPW then flows to the manufacturing plant, where it becomes contaminated. Recycling some of the wastewater back to the start of the UPW production plant may help save cost. Under those circumstances, the schematic would be as shown below. Schematically, the mass rate of contamination continuously added by the manufacturing process is shown as W, the flow rate of water recycled is R, and the influent flow rate of municipal water into the system is (Q−R). Unfortunately, some contaminants that are added to the water in the chip manufacturing process are not removed at all in the UPW production plant. As a result, they accumulate in the system with recycle until a steady state condition is achieved. If the particular chemical that is added at the rate W is not removed at all in the UPW treatment, and if it is also not present at all in the influent municipal water, what is the steady state concentration in the effluent (ce) in terms of W and the flow rates indicated?
Manufacturing often requires self generation
of ultrapure water (UPW), and the primary
use of this water is to clean manufacturing
components. Typically, the UPW treatment
system takes municipal tap water and treats
it further to remove a substantial fraction of
the solutes. The UPW then flows to the
manufacturing plant, where it becomes contaminated. Recycling some of the wastewater back to the start of the UPW production
plant may help save cost. Under those circumstances, the schematic would be as shown below. Schematically, the mass rate of contamination continuously added by the manufacturing process is shown as W, the flow rate of
water recycled is R, and the influent flow rate
of municipal water into the system is (Q−R).
Unfortunately, some contaminants that are
added to the water in the chip manufacturing
process are not removed at all in the UPW
production plant. As a result, they accumulate in the system with recycle until a steady
state condition is achieved. If the particular
chemical that is added at the rate W is not
removed at all in the UPW treatment, and
if it is also not present at all in the influent
municipal water, what is the steady state concentration in the effluent (ce) in terms of W
and the flow rates indicated?
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