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
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
Chapter4: Energy And Chemical Reactions
Section: Chapter Questions
Problem 120QRT
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F947b7a3c-1fbf-435a-a525-9e13a0a4e2cd%2F71aca54d-33a5-4758-a8ba-664cb7da5908%2Fn1ljfam5_processed.jpeg&w=3840&q=75)
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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