2. The tank shown below contains 80 lbs of salt dissolved in 500 gal of water. The inflowper minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of theuniform mixture. Find the time when the salt content y(t)_in the tank reaches 95% ofits limiting value (as t → *).

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Answered: 2. The tank shown below contains 80 lbs…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 2 L/min. If the concentration of salt in the brine entering the tank is 0.6 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.5 kg/L? ... Determine the mass of salt in the tank after t min. mass= kg
6. A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the well-stirred mixture leaves the tank at the rate of 2 gal/min. Find a. the amount of time required for overflow to occur b. the amount of salt in the tank at the moment of overflow
A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is 0.4 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.2 kg/L? Determine the mass of salt in the tank after t min. mass= 4(t+100) - 4x10² (t+100³) kg A
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2. The tank shown below contains 80 lbs of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find the time when the salt content y(t)_in the tank reaches 95% of its limiting value (as t → *).