Concept explainers
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.
26. A one-million-liter pond is contaminated by a chemical pollutant with a concentration of 20 g/L. The source of the pollutant is removed, and pure water is allowed to flow into the pond at a rate of 1200 L/hr. Assuming the pond is thoroughly mixed and drained at a rate of 1200 L/hr, how long does it take to reduce the concentration of the solution in the pond to 10% of the initial value?
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- 2. A tonk initially contoins toU gallons of brine whose concentration is ½ 1b/gal. Brine whose salt concentration is 2 /gal flows mto the tank ot the Fate of 3 gal per minute. The well-stirred Mixture Hlows out at a rate of e ga/min. Find salt content of the brine and its concentraton ofter Y2 howr,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_forward2. 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solution with 2lbs of salt per gallon of solution enters at a rate of 2.5 gal/min and the well-stirred mixture is also withdrawn at the same rate.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_forward
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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_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_forwardA tank contains 200 liters of brine holding 50 kg of salt in solution. Water containing 125 g of salt per liter flows into the tank at the rate of 12 liters per minute, and the mixture, kept uniform by stirring, flows out at the same rate. Find the time it takes for the concentration in the tank to be equal to 0.23 kg/L. Topic: Applications of 1st Order DEarrow_forward
- 1. A 20 m tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of 0.6 m/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 1.2 m/min How much salt is in the tank when it is half ful1?arrow_forward2. 1500-gallon tank initially contains 2271.2472 L of water with 2.267962 kg of salt dissolved in it. Water enters the tank at a rate of 9 gal/hr. and the water entering the tank has a salt concentration of 0.5(1 + cost) lbs/gal. If a well mixed solution leaves the tank at a rate of 6 gal/hr., how much salt is in the tank when it overflows?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
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell