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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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- . 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_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_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_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_forward1. A tank initially holds 80 gal of a brine solution containing Ib of salt per gallon. At t = 0, another brine solution containing 1 Ib 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 8 gal/min. a. Find the amount of salt in the tank at any time t. b. Determine when the tank will be empty. c. Determine when the tank will hold 40 gal of solution. d. Find the amount of salt in the tank when the tank contains exactly 40 gal of solution. e. Determine when the tank will contain the most salt.arrow_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_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell