1. A tank initially contains 40 pounds of salt dissolved in 100 gallons water. A solution containing 0.05 pounds of salt per gallon runs into the tank at 4 gallons per minute and the well-stirred solution runs out at 2 gallons per minute. How long will it be until there are 30 pounds of salt in the tank? What is the limiting amount of salt in the tank after a very long time?
1. A tank initially contains 40 pounds of salt dissolved in 100 gallons water. A solution containing 0.05 pounds of salt per gallon runs into the tank at 4 gallons per minute and the well-stirred solution runs out at 2 gallons per minute. How long will it be until there are 30 pounds of salt in the tank? What is the limiting amount of salt in the tank after a very long time?
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 23SE: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8...
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please solve it on paper
the answer based on the answer key:
After about 29.3 minutes and again after about 170.7 minutes; the amount of salt approaches ∞ after a
very long time (we’ll assume the tank can hold the infinite volume since we weren’t told the size of the
tank)
Transcribed Image Text:11. A tank initially contains 40 pounds of salt dissolved in 100 gallons water. A solution containing 0.05
pounds of salt per gallon runs into the tank at 4 gallons per minute and the well-stirred solution runs out
at 2 gallons per minute. How long will it be until there are 30 pounds of salt in the tank? What is the
limiting amount of salt in the tank after a very long time?
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