2) A tank, which has a capacity of 100 L, is initially half full of a solution thatcontains 50g of chemical. A solution containing 0.5g/L of the same chemicalflows into the tank at a rate of 6L/min, and the well-stirred mixture flows out at arate of 4 L/min. Determine the concentration of chemical in the tank justbefore the solution overflows.

Answered: Image /qna-images/answer/a79508c4-2642-41af-9b90-3454b0d666ad.jpg

Answered: 2) A tank, which has a capacity of 100…

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 tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture of 1 kg salt per liter is poured into the tank at a rate 4 liters per minute. The mixture is well stirred and allowed to leave the tank at a rate 8 liters per minute. a) Determine the amount of salt in the tank at any time. b) Determine the amount of salt in the tank at the instant when the tank begin to overflow.
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?
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?
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A wastewater treatment plant serves a city with a total population of 50000. The total service area for the treatment plant is 100 km2. The wastewater flow is 300 L/cap.d. During the wet weather conditions, the expected infiltration/inflow for the city is 3800 L/Ha.d. Estimate the peak flow for this treatment plant (m3/d).
A tank holds 300 gal of brine solution with 50 pounds of dissolved salt. A brine solution containing 2 lbsalt/gal is pumped into the tank at a rate of 3 gal/min and the solution inside the tank is also the pumped out at the same rate, estimate the amount of the salt dissolved in the tank after a long time.
A technician is changing a automotbile's transmission fluid. The manual tells him the transmission hold 7.8 quarts of fluid. When He drains the transmission, it only releases 3.1 quarts. He closes the plug and puts 3.1 quarts of fresh fluid back in. The manual tells him to run the car for 10 minutes to completely mix the fresh fluid in. The manual states to repeat this process 2 more times. Knowing that some fresh fluid is lost on each of the following 2 drains, what is the final ratio of fresh fluid to old?
A tank contains 1800 liters (L) of fluid in which 180 grams (g) of salt is dissolved. Solution containing 20 g/L then pumped into the tank at a rate of 30 L/min; the tank is maintained well mixed and pumped out at the same rate. How many grams of salt are in the tank 20 minutes after the inlet supply is opened? а. 10830 b. 11304 C. 11324 d. 10434 е. 10334
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
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 0.1 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? Determine the mass of salt in the tank after t min. mass = kg When will the concentration of salt in the tank reach 0.01 kg/L? The concentration of salt in the tank will reach 0.01 kg/L after minutes. (Round to two decimal places as needed.)

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