1. You have a shortage of drinkable water in your town and are trying to prepare safe drinking water by mixing river water with concentrated sea water. A tank initially has So amount of salt mixed in 1000 liters of water in it. River water enters the tank at a rate of r liters/h and the salt concentration of this water is 0.01 g/liter. Assume that the water salt mixture is well-stirred. It is also given that water is drained from the tank at the same rate as it comes in. rlitnsh, (e) Comment on what would happen if your motors were more powerful.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. You have a shortage of drinkable water in your town and are trying to prepare
safe drinking water by mixing river water with concentrated sea water. A tank
initially has So amount of salt mixed in 1000 liters of water in it. River water
enters the tank at a rate of r liters/h and the salt concentration of this water
is 0.01 g/liter. Assume that the water salt mixture is well-stirred. It is also
given that water is drained from the tank at the same rate as it comes in.
Hlitersh
o002 gliter
00
00
00
rliters/n
(e) Comment on what would happen if your motors were more powerful.
Transcribed Image Text:1. You have a shortage of drinkable water in your town and are trying to prepare safe drinking water by mixing river water with concentrated sea water. A tank initially has So amount of salt mixed in 1000 liters of water in it. River water enters the tank at a rate of r liters/h and the salt concentration of this water is 0.01 g/liter. Assume that the water salt mixture is well-stirred. It is also given that water is drained from the tank at the same rate as it comes in. Hlitersh o002 gliter 00 00 00 rliters/n (e) Comment on what would happen if your motors were more powerful.
Expert Solution
Step 1

Let S(t) be the salt in the tank at any moment of time.

Initially at t=0, S=S0.

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