A large mixing tank initially holds 1000 L of brine. Another brine solution is pumped into the tank at a rate of 10 . When the solution is well stirred, min it is then pumped out at a slower rate of 7.5 . If the concentration of min salt in the brine entering the tank is 0. 25 kg, derive the differential L equation of the salt concentration S(t) in the tank at any time t.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A large mixing tank initially holds 1000 L of brine. Another brine solution is
L
pumped into the tank at a rate of 10 . When the solution is well stirred,
min
it is then pumped out at a slower rate of 7.5 . If the concentration of
min
salt in the brine entering the tank is 0. 25 kg, derive the differential
L
equation of the salt concentration S(t) in the tank at any time t.
Transcribed Image Text:A large mixing tank initially holds 1000 L of brine. Another brine solution is L pumped into the tank at a rate of 10 . When the solution is well stirred, min it is then pumped out at a slower rate of 7.5 . If the concentration of min salt in the brine entering the tank is 0. 25 kg, derive the differential L equation of the salt concentration S(t) in the tank at any time t.
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