A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Separately, brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. Let y(t) be the amount of salt (in kg) aftert minutes. (a) How much salt is in the tank after t minutes? y(t) kg (b) How much salt is in the tank after 30 minutes? (Round the answer to one decimal place.) y(30) = kg

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter13: The Chemistry Of Solutes And Solutions
Section13.7: Colligative Properties Of Solutions
Problem 13.16E: Suppose that you are closing a cabin in the north woods for the winter and you do not want the water...
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A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Separately, brine that contains
0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min.
Let y(t) be the amount of salt (in kg) aftert minutes.
(a) How much salt is in the tank after t minutes?
y(t)
kg
(b) How much salt is in the tank after 30 minutes? (Round the answer to one decimal place.)
y(30) =
kg
Transcribed Image Text:A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Separately, brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. Let y(t) be the amount of salt (in kg) aftert minutes. (a) How much salt is in the tank after t minutes? y(t) kg (b) How much salt is in the tank after 30 minutes? (Round the answer to one decimal place.) y(30) = kg
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