SOLUTION: A tank contains 80 kg of salt and 1000 L of water. A solution of a concentration 0.04 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from
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Question 1184079: A tank contains 80 kg of salt and 1000 L of water. A solution of a concentration 0.04 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate.
a.) What is the concentration of our solution in the tank initially?
concentration = 80/1000 (kg/L), correct
b.) Find the amount of salt in the tank after 4.5 hours.
amount = 149.3126623 (kg), wrong
c.) Find the concentration of salt in the solution in the tank as time approaches infinity.
concentration = 0.04 (kg/L), correct
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
b.) The differential equation is
,
where Q is the amount of salt in the solution in kg, after time t.
The solution to this D.E. is . After 4.5 hours, or t = 270 minutes,
kg.
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