A tank initially holds 410 liters of brine solution containing 7 kg of salt. At t=0, another brine solution containing 0.4 kg of salt per liter is poured into the tank at the rate of 18 liters/min. while the well-stirred mixture leaves the tank at the same rate. Find the (a) the amount of salt in the tank at any time t and (b) the time at which the mixture in the tank contains 15 kg of salt.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A tank initially holds 410 liters of brine solution containing 7 kg of salt. At t=0, another brine
solution containing 0.4 kg of salt per liter is poured into the tank at the rate of 18 liters/min.
while the well-stirred mixture leaves the tank at the same rate. Find the (a) the amount of
salt in the tank at any time t and (b) the time at which the mixture in the tank contains 15
kg of salt.
Transcribed Image Text:A tank initially holds 410 liters of brine solution containing 7 kg of salt. At t=0, another brine solution containing 0.4 kg of salt per liter is poured into the tank at the rate of 18 liters/min. while the well-stirred mixture leaves the tank at the same rate. Find the (a) the amount of salt in the tank at any time t and (b) the time at which the mixture in the tank contains 15 kg of salt.
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