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1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200...
Name Review Guide For Test 2: Covers 3.1, 4.1, 4.2, 4.3, 4.4, 4.6 1. Consider a tank used in cert...
Name Review Guide For Test 2: Covers 3.1, 4.1, 4.2, 4.3, 4.4, 4.6 1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in ata rate of 2 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of...
1) Consider a large tank holding 1000 L. of pure water into which a brine solution of salt begins...
1) Consider a large tank holding 1000 L. of pure water into which a brine solution of salt begins to flow at a constant rate of 6 Umin. The solution inside the tank is kept well stirred and is flowing out of the tank at a rate of 2 Limin. If the concentration of salt in the brine entering the tank is 0.2 kg/L·wnte down the equation that determines when the concentration of salt in t tank will reach 0.05...
1. A tank is used for chemical experiments. It initially contains 10001 of a solution with...
1. A tank is used for chemical experiments. It initially contains 10001 of a solution with concentration 5g/l. Pure water is used to reduce the concentration of the chemical solution. It enters the tank at a rate of 21/min and the well-stirred mixture leaves the tank at the same rate. Let Q(t) denote the mass of the chemical in the tank (measured in g) at time t in minutes. (a) Write an IVP that models the above described process. (8...
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh...
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh water. A saltwater water solution enters the tank at a rate of 4 gal/min and the well-stirred solution leaves the tank at the same rate. Suppose for the first 10 min the salt concentration of the solution entering the tank is 1/2 Ib/gal and then the salt concentration of the entering solution is reduced to 1/4 Iblgal. How much salt is in the tank...
h A tank initially has 200 gallons of a solution that contains 25 lb. of dissolved...
h
A tank initially has 200 gallons of a solution that contains 25 lb. of dissolved salt. brine solution with a concentration of 21b of salt/gallon is admitted into the tank at a rate of 4 gallons per minute. The well-stirred solution is drained at the same rate. How long will it take for the tank to have 100 lb. of dissolved salt? Round your answer to the nearest minute.
4. Suppose there are two tanks, each containing 200 l of fluid. Tank 1 initially contains...
4. Suppose there are two tanks, each containing 200 l of fluid. Tank 1 initially contains pure water and tank 2 initially contains water with 200 kg of salt dissolved. The tanks are stirred constantly so their solutions have uniform concentration. There is a pipe which takes 10 l/min from tank 1 to tank 2, and another pipe which takes 5 l/min from tank 2 to tank 1. Also, pure water is being pumped into tank 1 at a rate...
5. (20 points) A tank with a capacity of 500 liters contains 200 liters of water...
5. (20 points) A tank with a capacity of 500 liters contains 200 liters of water with 100 grams of a material in solution. Water containing a concentration of 1 g/liter of the material enters the tank at a rate of 3 liters/min, and the well-stirred mixture leaves the tank at a rate of 2 liters/min. Find the amount of mass of the material in the tank at any given time t prior to when the tank begins to overflow.
please explain and show work for my understanding. [Problem 1.7.3) A tank whose volume is 200...
please explain and show work for my understanding.
[Problem 1.7.3) A tank whose volume is 200 L is initially half full of a solution that contains 100 g of chemical. A solution containing 0.5 g/L of the same chemical flows into the tank at a rate of 6 L/min, and the well-stirred mixture flows out at a rate of 4 L/min. Determine the concentration of chemical in the tank just before the solution overflows.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowi...
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 Umin and from B into A at a rate of 1 L/min The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank...
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution...
(1
point) A tank contains 60 kg of salt and 1000 L of water. A
solution of a concentration 0.03 kg of salt per liter enters a tank
at the rate 7 L/min. The solution is mixed and drains from the tank
at the same rate.
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 7 Umin. The...
Name Review Guide For Test 2: Covers 3.1, 4.1, 4.2, 4.3, 4.4, 4.6 1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in ata rate of 2 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of...
1) Consider a large tank holding 1000 L. of pure water into which a brine solution of salt begins to flow at a constant rate of 6 Umin. The solution inside the tank is kept well stirred and is flowing out of the tank at a rate of 2 Limin. If the concentration of salt in the brine entering the tank is 0.2 kg/L·wnte down the equation that determines when the concentration of salt in t tank will reach 0.05...
1. A tank is used for chemical experiments. It initially contains 10001 of a solution with concentration 5g/l. Pure water is used to reduce the concentration of the chemical solution. It enters the tank at a rate of 21/min and the well-stirred mixture leaves the tank at the same rate. Let Q(t) denote the mass of the chemical in the tank (measured in g) at time t in minutes. (a) Write an IVP that models the above described process. (8...
Use Laplace transforms to solve the problems in Exercise. A 500-gal tank contains 200 gal fresh water. A saltwater water solution enters the tank at a rate of 4 gal/min and the well-stirred solution leaves the tank at the same rate. Suppose for the first 10 min the salt concentration of the solution entering the tank is 1/2 Ib/gal and then the salt concentration of the entering solution is reduced to 1/4 Iblgal. How much salt is in the tank...
h
A tank initially has 200 gallons of a solution that contains 25 lb. of dissolved salt. brine solution with a concentration of 21b of salt/gallon is admitted into the tank at a rate of 4 gallons per minute. The well-stirred solution is drained at the same rate. How long will it take for the tank to have 100 lb. of dissolved salt? Round your answer to the nearest minute.
5. (20 points) A tank with a capacity of 500 liters contains 200 liters of water with 100 grams of a material in solution. Water containing a concentration of 1 g/liter of the material enters the tank at a rate of 3 liters/min, and the well-stirred mixture leaves the tank at a rate of 2 liters/min. Find the amount of mass of the material in the tank at any given time t prior to when the tank begins to overflow.
please explain and show work for my understanding.
[Problem 1.7.3) A tank whose volume is 200 L is initially half full of a solution that contains 100 g of chemical. A solution containing 0.5 g/L of the same chemical flows into the tank at a rate of 6 L/min, and the well-stirred mixture flows out at a rate of 4 L/min. Determine the concentration of chemical in the tank just before the solution overflows.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 Umin and from B into A at a rate of 1 L/min The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank...
(1
point) A tank contains 60 kg of salt and 1000 L of water. A
solution of a concentration 0.03 kg of salt per liter enters a tank
at the rate 7 L/min. The solution is mixed and drains from the tank
at the same rate.
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 7 Umin. The...
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