A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held 100 L of brine solution in which was dissolved0.25 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in thebrine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach0.01 kg/L?plz helpDetermine the mass of salt in the tank after t min.mass= kg■•LGTTPMoreX

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Answered: A brine solution of salt flows at a…

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 cylindrical container, 80 cm in diameter is initially filled with water to a depth of 119.367 cm. Then 0.05 kilograms of salt are dissolved in the tank. Brine containing 2 grams of salt per liter is then pumped into the tank at the rate of 0.006 m³ per minute and the solution mixed well is pumped out of the same rate. Find: a. The number of grams of salt in the tank at any time (in minutes) b. The amount of salt(grams) in the tank after 8 minutes. c. The time when the amount of salt in the tank is 200 grams.
a tank in which 1 gram of chlorine is initially present in 80.38 m3 of a solution of water and chlorine. A chlorine solution concentrated at 1.49 g/m3 flows into the tank at a rate of 3 m3 /min, while the uniformly mixed solution exits the tank at 7 m3 /min. What will be the amount of chlorine present in the tank after 1 minute?
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 toxic radioactive substance with a density of 9 milligrams per square cm is detected in the ventilating ducts of a nuclear processing plant that was used 55 years ago. If the half life is 20 years, what was the density of the substance when it was depoited 55 years ago?
A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.1 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.02 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.01 kg/L?
A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 25 meter tall building. You have a rope that has a mass of 0.3 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 15 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building. Find the work done lifting the bucket (sand and rope) to the top of the building. Joules
A tank initially holding 80 gals of fuid with 40 lbs of salt has two sources of fluid being pumped in. One source is pumping pure water in at 8 gal/min and the second source is pumping in a salt solution of 0.5 Ibs/gal at 2 gal/min. The tank is emptying at 10 gal/min. Find the amount of salt in the tank after 30 minutes?
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
A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.04 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.01 kg/L? Determine the mass of salt in the tank after t min. mass 4-4e 2t 25 kg

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