Answered: A 1500 gallon tank initially contains… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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EXERCISE 1*
A 1500 gallon tank initially contains 600
gallons of water with 5 lbs of salt dissolved in
it. Water enters the tank at a rate of 9 gal/hr
and the water entering the tank has a salt
concentration of 0.2(1+cost) Ibs/gal. If a well
mixed solution leaves the tank at a rate of 6
gal/hr, how much salt is in the tank when it
overflows?
* Be ready to present your work in class when asked.

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The Chernobyl incident was the worst nuclear disaster in modern history. In 1986, a combination of a design flaw and improper safety procedures caused a meltdown in reactor 4 which housed 3600 kgs of Plutonium-239 whose half life is 24,400 years. current safety procedures estimates that a "safe" amount of plutonium-239 is 27 g! That is, the area around Chernobyl will be habitable when the original amount of nuclear fuel is reduced to 27g. When will this happen? Summarize your result in a complete sentence.
A 500 gal capacity tank initially contains 200 gal of water and 5 lbs of salt per gallon. To reduce the concentration, water at the rate of 3 gal/min enters the tank and the thoroughly mixed solution flows out at the same rate. After 20 min. the process is stopped and brine solution flows into the tank at the same rate of 3 gal/min and at a concentration of 2 lbs/gal. The mixed solution flows out at the rate of 2 gal/min. Find the amount of salt in the tank 30 min. after resumption of the process.
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A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution in the tank is being mixed well. If the well-mixed solution in the tank exits 7 L per minute, determine the amount of salt (kilograms) in the solution just before the tank overflows.
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