A tank with a capacity of 300 litres initially contains 150 liters of pure water. Brine contains 3gm of salt per litre is pumped into the tank at a rate of 12 litres per minute. The well mixed solution is then pumped out at a rate of 6 litres per minute. Find the expression for amount of salt in the tank at any time t.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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2. A tank with a capacity of 300 litres initially contains 150 liters of pure water. Brine contains
3gm of salt per litre is pumped into the tank at a rate of 12 litres per minute. The well mixed
solution is then pumped out at a rate of 6 litres per minute. Find the expression for amount
of salt in the tank at any time t.
3. A tank contains 100 liters of brine by dissolving 50 grams of salt in water. Salt water
containing 2 grams of salt per liter runs in at a rate of 5 liters per minute and mixture is kept
uniformed by stirring and runs out of the tank at 7 liters per minute. Find the amount of salt
in the tank after 15 minutes.
Transcribed Image Text:2. A tank with a capacity of 300 litres initially contains 150 liters of pure water. Brine contains 3gm of salt per litre is pumped into the tank at a rate of 12 litres per minute. The well mixed solution is then pumped out at a rate of 6 litres per minute. Find the expression for amount of salt in the tank at any time t. 3. A tank contains 100 liters of brine by dissolving 50 grams of salt in water. Salt water containing 2 grams of salt per liter runs in at a rate of 5 liters per minute and mixture is kept uniformed by stirring and runs out of the tank at 7 liters per minute. Find the amount of salt in the tank after 15 minutes.
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