21. A tank contains 200 liters of fluid in which 30 grams of saltis dissolved. Brine containing 1 gram of salt per liter is thenpumped into the tank at a rate of 4 L/min; the well-mixedsolution is pumped out at the same rate. Find the number A (t) ofgrams of salt in the tank at time t.

Let be the concentration of the salt in the fluid at any time .It is given that:The total quantity…

Answered: A tank contains 200 liters of fluid in…

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 tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10 min. Round your answer to two decimal places. i 3 lbs
Oil flows at a constant rate of 10L/min into a tank that can hold 40L of liquid. Initially the tank held 20 L of brine solution, which dissolved 2kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 8 L/min. Find the amount of salt in the tank when the tank is full.
A tank contains 200 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds salt in the tank at time t.
A tank initially contains 60 gallons of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the perfectly mixed solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h. Find the amount of salt in the tank after 20 minutes. (Round off to 4 decimal places and do not indicate the unit in the final answer.)

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A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.