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. 002 glitei 00 00 (a) Find the differential equation which describes this scenario. You must explain in your own words and logically derive the equation. (b) Solve for S (t) in terms of r, So and t(time in hours).
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. 002 glitei 00 00 (a) Find the differential equation which describes this scenario. You must explain in your own words and logically derive the equation. (b) Solve for S (t) in terms of r, So and t(time in hours).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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.
Hlitash
002 glitei
00
00
(a) Find the differential equation which describes this scenario. You must
explain in your own words and logically derive the equation.
(b) Solve for S (t) in terms of r, So and t(time in hours).
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