A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 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 3 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)
A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 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 3 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)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Transcribed Image Text:A tank contains 100 kg of salt and 2000 L of
water. Pure water enters a tank at the rate 6
L/min. The solution is mixed and drains from the
tank at the rate 3 L/min.
(a) What is the amount of salt in the tank
initially?
amount =
(kg)
%3D
(b) 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. (Assume
your tank is large enough to hold all the
solution.)
concentration =
(kg/L)
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