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Stirred tank reactions For each of the following stirred tank reactions, carry out the following analysis.
- a. Write an initial value problem for the mass of the substance.
- b. Solve the initial value problem.
23. A 500-L tank is initially filled with pure water. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 4 L/min. The thoroughly mixed solution is drained from the tank at a rate of 4 L/min.
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CALCULUS:EARLY TRANSCENDENTALS-PACKAGE
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- 3. A container with 300 gal of alcoholic beverages contains 3% alcohol (by volume). Beer with 8% is pumped into the container at a rate of 4gal/min and the mixture is pumped out at the same rate. What is the amount of alcohol after 30min.arrow_forward3. A tank contains 80 gals. of pure water. A brine solution with 2 lbs/gal of salt enters at 2 gals/min, and the well-stirred mixture leaves at the same rate. Find (a) the amount of salt in the tank at any time O a. 80 Ibs O b. 41.3 lbs c. 23 Ibs O d. 27.73 lbsarrow_forwardA water tank that initially contains 140 L of solution in which 20 g of salt was dissolved. A solution with a salt concentration of 4 g/L is added at a rate of 6 L/min. The solution is mixed well and was drained from the tank at a rate of 4 L/min. Find the answer for the following question. 1) Find the concentration of the solution in the tank after 30 minutes.arrow_forward
- 2. A tank has 72 gallons of water. Brine solution with 2lbs of salt per gallon of solution enters at a rate of 2.5 gal/min and the well-stirred mixture is also withdrawn at the same rate. When will the concentration be 0.5lb/gal of solution? 20arrow_forward2. Initially, 22.73 kg. of salt is dissolved in a large tank holding 300 gallons of water. A brine solution is pumped into the tank at a rate of 3 gallons per minute and well-stirred solution is then pumped out at the same rate. If the concentration of the solution entering is 1/10 pounds per gallon, determine the amount of salt in the tank at the end of 1 and a half hour.arrow_forwardFor the following stirred tank reaction, carry out the following analysis. a. Write an initial value problem for the mass of the substance. b. Solve the initial value problem. A 400-L tank is initially filled with pure water. A copper sulfate solution with a concentration of 25 g/L flows into the tank at a rate of 4 L/min. The thoroughly mixed solution is drained from the tank at a rate of 4 L/min.arrow_forward
- . A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been mixed. A tap will open, pouring 20 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 2 pounds per minute. Find the concentration (pounds per gallon) of sugar in the tank after t minutes.arrow_forwardFor the following stirred tank reactions, carry out the following analysis.a. Write an initial value problem for the mass of the substance.b. Solve the initial value problem. A 500-L tank is initially filled with pure water. A copper sulfatesolution with a concentration of 20 g/L flows into the tank at arate of 4 L>min. The thoroughly mixed solution is drained fromthe tank at a rate of 4 L/min.arrow_forwardBrine containing 3 lbs per gal of salt enters a large tank at the rate of2 gal/min and the mixture well stirred leaves at 1.5 gal/min. If the tankcontains initially 100 gal of water, with 4 lbs of dissolved salt.a. Find the mount of salt in the tank at any time t in minutes.b. Find the amount of salt in the tank after 4 mins.arrow_forward
- A tank contains 800 liters of fresh water. Brine containing 2.5 N/L of salt enters the tank at 20 L/min, and the mixture, kept uniform by stirring, runs out at 10 L/min. After 45 minutes, what is the concentrations of the salt in the mixture? 1.476 N/L 2.476 N/L 3.476 N/L 3.23 N/Larrow_forwardA tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.07kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions. 1. How much salt is in the tank after t minutes? Answer (in kilograms): S(t) = ... 2. How much salt is in the tank after 5 hours? Answer (in kilograms):arrow_forwardA large tank contains 100 gallons of brine in which 10 lbs. of salt is dissolved. Brine containing 0.2 lbs. of salt to the gallon runs into the tank at the rate of 6 gal/min. The mixture, kept uniform by stirring, runs out of the tank at the rate of 4 gal/min. Find the amount of salt in the solution in the tank at the end of t min.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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