A tank contains 60 kg of salt and 1000 L of wa solution is mixed and drains from the tank at

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The
solution is mixed and drains from the tank at the rate 6 L/min.
(a) What is the amount of salt in the tank initially?
amount =
(kg)
(b) Find the amount of salt in the tank after 5 hours.
amount =
(kg)
(c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume
your tank is large enough to hold all the solution.)
concentration =
(kg/L)
Transcribed Image Text:A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) What is the amount of salt in the tank initially? amount = (kg) (b) Find the amount of salt in the tank after 5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = (kg/L)
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