A tank initially contains 200 gal of fresh water. It receives brine of an unknown salt concentration at the rate of 2 gal/min. The mixture flows out at the same rate. At the end of 120 min, 280 lb of salt are in the tank. Find the salt concentration of the entering brine.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
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Please answer 9 using differential equations, thank you. 

4:06 PM Mon Mar 27
<
x
differential Equations
Po
●●●
differential Equations
Differentials Study Guide
T
its concentration at the end of 60 min.
9. A tank initially contains 200 gal of fresh water. It receives brine of an
unknown salt concentration at the rate of 2 gal/min. The mixture flows out
at the same rate. At the end of 120 min, 280 lb of salt are in the tank.
Find the salt concentration of the entering brine.
10. Two tanks, A and B, each contain 5000 gal of water. To each tank 150 gal
of a chemical should be added, but in error the entire 300 gal are poured into
the A tank. Pumps are set to work to circulate the liquid through the two
B
DigitalPlanner2023
è n
Figure 15.14.
tanks at the rate of 100 gal/min (Fig. 15.14). (a) How long will it take for
tank A to contain 200 gal of the chemical and tank B to contain 100 gal-
lons? (b) Is it theoretically possible for each tank to contain 150 gal?
11. The CO₂ content of the air in a 5000-cu-ft room is 0.3 percent. Fresh air
containing 0.1 percent CO2 is pumped into the room at the rate of 1000
69%
Transcribed Image Text:4:06 PM Mon Mar 27 < x differential Equations Po ●●● differential Equations Differentials Study Guide T its concentration at the end of 60 min. 9. A tank initially contains 200 gal of fresh water. It receives brine of an unknown salt concentration at the rate of 2 gal/min. The mixture flows out at the same rate. At the end of 120 min, 280 lb of salt are in the tank. Find the salt concentration of the entering brine. 10. Two tanks, A and B, each contain 5000 gal of water. To each tank 150 gal of a chemical should be added, but in error the entire 300 gal are poured into the A tank. Pumps are set to work to circulate the liquid through the two B DigitalPlanner2023 è n Figure 15.14. tanks at the rate of 100 gal/min (Fig. 15.14). (a) How long will it take for tank A to contain 200 gal of the chemical and tank B to contain 100 gal- lons? (b) Is it theoretically possible for each tank to contain 150 gal? 11. The CO₂ content of the air in a 5000-cu-ft room is 0.3 percent. Fresh air containing 0.1 percent CO2 is pumped into the room at the rate of 1000 69%
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