a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 9L/min. The solution is mixed and drains from the tank at the same rate.  what is the concentration of our solution in the tank initially concentration = ? (kg/L) find the amount of salt in the tank after 3 hours. amount = ? kg c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = ? (kg/L)

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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a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 9L/min. The solution is mixed and drains from the tank at the same rate. 

what is the concentration of our solution in the tank initially

concentration = ? (kg/L)

find the amount of salt in the tank after 3 hours. amount = ? kg

c) Find the concentration of salt in the solution in the tank as time approaches infinity.

concentration = ? (kg/L)

Expert Solution
Step 1

(a)

Initial concentration of salt in the tank is equal to initial amount present divided by the volume of water.

So, initial concentration of salt is:

=501000=0.05

So, initial concentration of salt is: 0.05 kg/L.

 

 

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